Describe the reflection of the rectangle ABCD with vertices A(-5, 2), B(1, 2), C(1, - 1), and D(-5, - 1), to its image rectangle A'B'( with vertices A'(-5, - 6), B'(1, - 6), C'(1, -3), and D'(-5, - 3). Use decimals, if necessary. reflection in the line y =
Answers
Every point of ABCD is spaced equally apart from x = -1 from every other point of ABCD.The line of reflection is therefore x = -1.
Describe the reflection of the rectangle ABCD with vertices?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image).You can picture what would happen if you flipped the shape over the line in order to graph a reflection.
From the figure: A(−5,2),B(1,2),C(1,−1),A(−5,2),B(1,2),C(1,−1), and D(−5,−1)D(−5,−1).Find the corresponding points of the image such that the original and image are equidistant to the line y=−2y=−2.AA is 4 units above y=−2y=−2 so A′A′ should be 4 units below y=−2y=−2, so at (−5,−2−4)⇒(−5,−6)(−5,−2−4)⇒(−5,−6).BB is 4 units above y=−2y=−2 so B′B′ should be 4 units below y=−2y=−2, so at (1,−2−4)⇒(1,−6)(1,−2−4)⇒(1,−6).CC is 1 unit above y=−2y=−2 so C′C′ should be 1 unit below y=−2y=−2, so at (1,−2−1)⇒(1,−3)(1,−2−1)⇒(1,−3).DD is 1 unit above y=−2y=−2 so D′D′ should be 1 unit below y=−2y=−2, so at (−5,−2−1)⇒(−5,−3)(−5,−2−1)⇒(−5,−3).Plot the coordinates of the image and connect to obtain the reflected image (in green):
To learn more about reflection of the rectangle refer
https://brainly.com/question/18484628
#SPJ1
Related Questions
For each table, determine whether it shows that x and y are proportional.
If x and y are proportional, fill in the blank with a number in simplest form.
X
y
10 15 25 8
2
Proportional
3.
y is times x
Not proportional
LO
5
40
X
y
2 3
4 9
Proportional
y is times x
Not proportional
5
8
CO
20 40
DO
X
08
Ś
Answers
The first table shows proportionality, The second does not have this
How to solve for proportionalityIn the first there is a proportional relationship between x and y on the table.
That is y = 6 * x
when
48 = 6 * 8
60 = 6 * 10
72 = 6 * 12
On the other table the values are not proportional
12 = 6 * 2
28 = 7 * 4
64 = 8 * 8
The difference between the tables is that the first showed us a constant of proportionality 6 ,while the other does not have a constant of proportionality.
Read more on proportional relationship here:https://brainly.com/question/23318486
#SPJ1
Given the point (−,), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces. Example 7,2 or -7,-2
Answers
When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and reflected across y-axis then (-x, y) be the point.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph
Reflection is a process of transformation.
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.
Let the coordinates of a point be (4, 3).
When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).
(x, y)---->(x, -y)
The reflection of point (x, y) across the y-axis is (-x, y).
(x, y)---->(-x, y)
(4,3) reflection across the y-axis is (-4, 3).
Hence, the reflection of point (x, y) across the y-axis is (-x, y) and reflection of point (x, y) across the x-axis is (x, -y).
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)
Answers
(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x
The probability mass function p(x) can be derived from the cdf by taking differences:
p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06 x = 10.1 x = 20.17 x = 30.36 x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)
The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.
To learn more about this visit -m A branch of a certain bank has six ATMs : https://brainly.com/question/31026593
#SPJ11
What is 5 x 10 - 2 + 7 x 2?
Answers
\(62\)
Step By Step Explanations:1) Simplify 5 × 10 = 50.
\(50 - 2 + 7 \times 2\)
2) Simplify 7 × 2 = 14.
\(50 - 2 + 14\)
3) Simplify 50 - 2 to 48.
\(48 + 14\)
4) Simplify.
\(62\)
Therefor, the answer is 62.
50 points!!!
7. Write and solve an inequality for the value of x.
Answers
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
Learn more about Triangle inequality theorem from the given link
https://brainly.com/question/1163433
#SPJ1
4x8 i know the anwser im just tryna see something
Answers
Answer:
32
Step-by-step explanation:
Answer:
The Answer is 32
Step-by-step explanation:
8*4=32
4*8 = 32
i eill drop a picture
Answers
Parallel lines have the same slope, that is
\(\begin{gathered} m_1=m_2_{} \\ \text{ Where} \\ m_1\text{ is the slope of line 1 and} \\ m_2\text{ is the slope of line 2} \end{gathered}\)The slope of line 1 is 1/3 because its equation is written in slope-intercept form, that is
\(\begin{gathered} y=mx+b \\ \text{ Where m is the slope and} \\ \text{b is the y-intercept} \\ y=\frac{1}{3}x-1\Rightarrow\text{ Line 1} \\ m_1=\frac{1}{3}\Rightarrow\text{ Slope of the line 1} \end{gathered}\)Now, since the slopes are parallel then you already have the slope of line 2:
\(\begin{gathered} m_1=m_2 \\ \frac{1}{3}=m_2 \end{gathered}\)Then, you can use the point-slope equation to find the equation for line 2:
\(\begin{gathered} y-y_1=m(x-x_1)\Rightarrow\text{ Point-slope equation} \\ \text{ Where m is the slope and} \\ (x_1,y_1)\text{ is a point through which the line passes} \end{gathered}\)So, you have
\(\begin{gathered} m_2=\frac{1}{3} \\ (x_1,y_1)=(6,10) \\ y-y_1=m(x-x_1) \\ y-10=\frac{1}{3}(x-6) \end{gathered}\)Finally, to obtain the equation of the line in its slope-intercept form, solve for y:
\(\begin{gathered} y-10=\frac{1}{3}(x-6) \\ \text{ Apply the distributive property to the right side of the equation} \\ y-10=\frac{1}{3}x-\frac{1}{3}\cdot6 \\ y-10=\frac{1}{3}x-2 \\ \text{ Add 10 from both sides of the equation} \\ y-10+10=\frac{1}{3}x-2+10 \\ y=\frac{1}{3}x+8 \end{gathered}\)Therefore, the equation in slope-intercept form of the line that passes through (6,10) and is parallel to the given equation is
\(y=\frac{1}{3}x+8\)and the correct answer is option A.
kindly answer step by step and clearly
Question 8 Prove the following equality by using a series of logical equivalences. [rv (q^ (rp))]=r^ (pv¬q) [7 points]
Answers
Let's prove the following equality [rv(q^(rp))]=r^(pv¬q) using a series of logical equivalences.
Step 1: \([rv(q^{(rp)})]=r^{(pv¬q)\) (given)
Step 2: \([r v (q ^{ (rp))}] = [r v (q ^{ p}) ^{ (q {^ ¬q}) v (r ^ {p}) ^{ (r ^{ ¬q})} ]\) (distributive law)
Step 3: \([r v (q ^ {p}) ^ {(q ^ {¬q) }v (r{ ^ p}) ^{ (r{ ^ ¬q}})] }= [r v (q ^{ p}) ^ {(F) v (r ^ {p}) ^ {(F)}}}]\)(negation law)
Step 4: \([r v (q ^{ p}) ^{ (F) }v (r ^{ p}) ^ {(F)}] = r v (q ^{ p}) ^{ (r ^ {p})}\) (identity law)
Step 5:\(r v (q ^{ p}) ^{ (r ^{ p{}) = r ^ {(q ^{ p v (r ^{ p})}}})\) (DeMorgan's law)
Step 6:\(r ^ {(q ^ {p }v (r ^{ p})) = r ^{ (p v q)}\) (commutative law)
Step 7: Therefore, \([rv(q^{(rp)})]=r^{(pv¬q)\)is proved.
Answer: By using a series of logical equivalences, \([rv(q^{(rp)})]=r^{(pv¬q)\)is proved.
To know more about equivalences visit:
https://brainly.com/question/25197597
#SPJ11
The given equation is proved using a series of logical equivalences as follows:
\([rv (q^ {(rp)})] = r^ {(pv¬q)} = ¬[(r V q) ^{ r}] ^ {¬(p V q)} = (r ^{ p})^{¬q\)
Given equation is:
[rv (q^ (rp))] = r^ (pv ¬q)
Let's prove this equation using a series of logical equivalences.
Step 1: Apply Commutative Law.
We know that\(P ^ Q\)≡ \(Q ^ P\) and P V Q ≡ Q V P.
\([rv (q^ {(rp)})] = [(rp) ^ {q}]Vr (1\)\)
So, the equation becomes \([(rp) ^ {q}] V r = r ^ {(pV ¬q)\)
Step 2: Apply Distributive Law.
We know that \(P ^ {(Q V R)\) ≡ \((P ^ Q)\)V\((P ^ R)\) and
P V \((Q ^ R)\)≡\((P V Q) ^ {(P V R)\).\([(rp) ^ q]\)V r = (\(r ^ p\)) V \((r ^ ¬q})\) (2)
Step 3: Apply De Morgan's Law.
We know that ¬\((P ^ Q)\) ≡ ¬P V ¬Q and
¬(P V Q) ≡ \(¬P ^ {¬Q\).(¬r V ¬p\() ^ ¬q\) V r = (\(r ^ p\)) V \((r ^ ¬q})\) (3)
Step 4: Apply Distributive Law on both sides.
\((¬r ^ {¬q} V r) V (¬p ^ {¬q} V r) = (r ^ {p}) V (r ^ {¬q}) (4)\)
Step 5: Apply De Morgan's Law on both sides.
¬(r V \(q ^ r\)) V (\(¬p ^ ¬q\\\) V r) = (\(r ^ p\)) V (\(r ^ ¬q\)) (5)
Step 6: Apply Distributive Law on the left-hand side and get the right-hand side in conjunction.
¬[\((r V q) ^ r\)] V (\(¬p ^ ¬q\)V r) = (\(r ^ p\)) ^ (\(r ^ ¬q\)) (6)
Step 7: Apply Commutative Law. (r V q\() ^ r\) ≡\(r ^ {(r V q)\) by Commutative Law.
\([¬r ^ {¬q V r}] V (¬p ^ {¬q V r}) = (r ^ p) ^ (r ^ ¬q})\) (7)
Step 8: Apply Distributive Law on the right-hand side.
\([¬r ^ {¬q V r}] V (¬p ^ {¬q V r}) = r ^{ (p ^ {¬q})\)(8)
Step 9: Apply De Morgan's Law on both sides. \(¬[(r V q) ^ {r}] ^ {¬(p V q)} = r ^ {(p ^ {¬q})\) (9)
Step 10: Apply Commutative Law.\(r ^ {(p ^ {¬q})} ≡ (r ^ {p}) ^{ ¬q\) by Commutative Law.
\(¬[(r V q) ^ {r}] ^ {¬(p V q)} = (r ^ {p}) ^ ¬q\)(10)
Thus, the given equation is proved using a series of logical equivalences as follows.
\([rv (q^ {(rp)})] = r^ {(pv¬q)} = ¬[(r V q) ^{ r}] ^ {¬(p V q)} = (r ^{ p})^{¬q\)
To knows more about logical equivalences visit:
https://brainly.com/question/32776324
#SPJ11
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Answers
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Learn more about Polynomial Function at
brainly.com/question/11298461
#SPJ4
john picks numbers at random. 10 5 5 3 7 9. what is the probability he picked an even number?
Answers
Answer:
1/6 probability
Step-by-step explanation:
He only got one even number out of 6 attempts, so its a one in six 1/6.
After 2 weeks, a plant is 9 centimeters tall. After 5 weeks, it has grown to 15 centimeters. If the plant grows at constant rate of change, find the following equation of the line.
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1)
With this information, we can create 2 points: (2, 9) and (5, 15)
Plug in the points:
(15 - 9) / (5 - 2)
6 / 3
= 2
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
15 = 2(5) + b
15 = 10 + b
5 = b
Plug in the slope and b into the equation:
y = 2x + 5 is the equation of the line
where is the line or the picture
the common factor of 6ab and 11cd
Answers
The common factors between the two expressions is 1.
What is a common factor?A common factor is a number that may be divided by two without leaving a residue. Numbers frequently share more than one aspect in common.
In order to find the common factor between the two expressions, we need to write the terms in factors form. Therefore, both the expression can be written as,
\(6ab = 2 \times 3 \times a \times b\times 1\)
\(11cd= 11 \times c \times d \times 1\)
As we can see that except for 1, there are no common factors in the two expressions.
Hence, the common factor between the two expressions is 1.
Complete the table for the given rule.
Rule: y is 2 more than 4 times 2
pls help
Answers
Answer:
[2,10,18]
y = 4x + 2
0,2
1,6
2,10
3,14
4,18
Step-by-step explanation:
Answer:
x=0 y=2
x=2 y= 10
x=4 y= 18
Step-by-step explanation:
Is means equals
y = 4x+2
Let x = 0
y = 4(0)+2 = 2
Let x = 2
y = 4(2)+2 = 8+2 = 10
Let x =4
y = 4(4)+2 = 16+2 = 18
Alice purchased paint in a bucket with a radius of 3.5 inches and a height of 8 inches The paint cost $0.05 per cubic inch. What was the total cost of the paint
Answers
The total cost of the paint is $15.40.
What is the first step is to find the volume of the bucket?The first step is to find the volume of the bucket.
The volume of a cylinder is given by the formula:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Plugging in the values, we get:
V = π(3.5 inches)²(8 inches)
V = 308 cubic inches
The total cost of the paint can then be found by multiplying the volume of the bucket by the cost per cubic inch:
Total cost = 308 cubic inches × $0.05/cubic inch
Total cost = $15.40
Therefore, the total cost of the paint is $15.40.
Learn more about paint
brainly.com/question/15008921
#SPJ11
What is the area needed for 1 corn plant?
1ft
1ft
area=
square foot
DONE
Answers
an isosceles triangle has a hypotenuse of 28. how long is a leg?
Answers
Answer:
the answer is 14 that's what I got
Evaluate the expression 4x² for x = 3.
Answers
Answer:
36
Step-by-step explanation:
do x to the second power then multiply 4 to get your answer
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Answers
Identify the surface with the given vector equation. r(s, t) = (s cos(t), s sin(t), s) circular paraboloid O elliptic cone O hyperbolic paraboloid O plane O circular cone X
Answers
The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.
The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.
In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.
By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.
Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.
Learn more about vector equation here :
https://brainly.com/question/32619742
#SPJ11
Find the area of the trapezoid.A trapezoid with the top base labeled two feet and the bottom base labeled ten feet. The height is labeled four feet.
Answers
To solve this problem, we will use the following formula for the area of a trapezoid:
\(A=\frac{1}{2}(B+b)h,\)where B and b are the lengths of the bases and h is the height.
Substituting B=10 ft, b=2 ft, and h=4 ft in the above formula, we get:
\(A=\frac{1}{2}(2ft+10ft)4\text{ ft.}\)Simplifying we get:
\(A=24ft^2\text{.}\)Answer:
\(24ft^2\text{.}\)an
How was Malaka's father finally able to move to the
United States?
O He saved enough money to afford the cost of moving.
He was accepted to UCLA's School of Management.
He studied and was able to pass the TOEFL.
He received a teaching job at UCLA.
Answers
Answer:
B
Step-by-step explanation:
He was accepted to UCLA's School of Management
find the one-sided 99.9% confidence interval that claims that the population mean click-through rate is no larger than some amount
Answers
To find the one-sided 99.9% confidence interval for a population mean click-through rate that claims it is not larger than a certain amount, statistical analysis is conducted using the appropriate formula and methodology.
In statistical inference, confidence intervals are used to estimate population parameters based on sample data. A confidence interval provides a range of values within which the true population parameter is likely to lie. In this case, we are interested in estimating the population mean click-through rate and establishing a one-sided confidence interval.
To calculate the one-sided 99.9% confidence interval, several steps need to be followed. First, a sample of click-through rate data needs to be collected. Then, the sample mean and standard deviation are computed. Next, the appropriate critical value corresponding to the desired confidence level (99.9% in this case) is determined from the standard normal distribution or t-distribution, depending on the sample size and whether the population standard deviation is known.
Using the sample mean, standard deviation, and critical value, the confidence interval can be calculated. Since we are interested in the upper limit of the confidence interval, the interval will be of the form (-∞, upper bound]. The upper bound is determined by adding a margin of error to the sample mean, which is derived from the critical value and standard deviation. The resulting confidence interval represents the range of values within which we can be 99.9% confident that the population mean click-through rate is no larger than the specified amount.
It's important to note that the specific calculation steps may vary depending on the sample size, assumptions about the population distribution, and whether the population standard deviation is known or estimated from the sample. Consulting a statistical textbook or software package can provide more detailed guidance on conducting the analysis and obtaining the desired one-sided confidence interval.
Learn more about standard deviation here: https://brainly.com/question/13498201
#SPJ11
10 Define TL(F") by
T(X1, X2. X3, Xn) = (x1,2x2, 3x3...,xn).
(a) Find all eigenvalues and eigenvectors of T.
(b) Find all invariant subspaces of T.
11 Define T: P(R) P(R) by Tp = p. Find all eigenvalues and eigenvectors of T
Answers
10. To find the eigenvalues and eigenvectors of the linear transformation T(X1, X2, X3, ..., Xn) = (X1, 2X2, 3X3, ..., nXn), we need to solve the equation T(X) = λX, where λ is the eigenvalue and X is the eigenvector.
(a) Let's find the eigenvalues first:
T(X) = λX
(X1, 2X2, 3X3, ..., nXn) = λ(X1, X2, X3, ..., Xn)
By comparing corresponding components, we get:
X1 = λX1
2X2 = λX2
3X3 = λX3
...
nXn = λXn
From these equations, we can see that λ must be equal to 1, and the eigenvectors are of the form X = (X1, X2, X3, ..., Xn), where X1, X2, X3, ..., Xn are arbitrary real numbers.
Therefore, the eigenvalues are λ = 1, and the corresponding eigenvectors are of the form X = (X1, X2, X3, ..., Xn), where X1, X2, X3, ..., Xn are arbitrary real numbers.
(b) To find the invariant subspaces of T, we need to determine the subspaces of R^n that are mapped into themselves by T. In this case, any subspace spanned by the eigenvectors is an invariant subspace, since multiplying the eigenvectors by the transformation T will still result in a scalar multiple of the same eigenvector.
So, the invariant subspaces of T are the subspaces spanned by the eigenvectors (X1, X2, X3, ..., Xn), where X1, X2, X3, ..., Xn are arbitrary real numbers.
11. The linear transformation T: P(R) -> P(R), defined as T(p) = p, where P(R) represents the set of all polynomials with real coefficients.
To find the eigenvalues and eigenvectors of T, we need to solve the equation T(p) = λp, where λ is the eigenvalue and p is the eigenvector.
T(p) = p
λp = p
This equation implies that any non-zero polynomial p is an eigenvector with eigenvalue λ = 1. Therefore, the eigenvalues are λ = 1, and the corresponding eigenvectors are all non-zero polynomials.
To know more about polynomial visit-
brainly.com/question/31397976
#SPJ11
Mollie drew △MOL and Ted drew △TED. They measured a few parts of their triangles and found that ML≅TD, OL≅ED, and angle L≅angle D. What postulate can Mollie and Ted use to justify why their triangles must be congruent?
Answers
Answer:
Step-by-step explanation:
SSA
Vern has a collection of pennies, nickels, and dimes. The ratio of the number of pennies to the number of nickels is $9:2,$ and the ratio of the number of nickels to the number of dimes is $3:4.$ If the total worth of Vern's collection is $\$10.96,$ then how many coins do they have in total?
Answers
Let be the number of pennies, be the number of nickels, and be the number of dimes that Vern has. The given ratios tell us that and Therefore, so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains pennies, nickels, and dimes. Let be the number of such groups of coins that Vern has. Then Vern has pennies, nickels, and dimes. Since a penny is worth cent, a nickel is worth cents, and a dime is worth cents, the total worth of Vern's coins in cents is However, we know Vern has or cents, so we can write an equation:Simplifying the left-hand side, we get Dividing both sides by we get This tells us that Vern has groups of coins, for a total of coins.
328
Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
$
Answers
Answer:
Step-by-step explanation:
I got 22 my friend hope i helped.
Answer:
$18
Step-by-step explanation:
50% of 40 is 20, so 40-20=20
10% of 20 is 2, so 20-2=18
total price=$18
Find the solutions of the equation.
23 <3x-3(-) ≤ 66
a) (-, 11)u[33, [infinity])
b)(-, 11]u[33,[infinity])
c) (11,33)
d) [11, 33]
e) (11, 33]
f) None of the above.
Answers
The solution to the inequality is:
x ∈ (-∞, -21].
The correct option is F.
To solve the given inequality, we'll first simplify the expression:
23 < 3x - 3 ≤ -66
To simplify the inequality,
23 < 3x - 3 ≤ -66
Adding 3 to all parts of the inequality:
23 + 3 < 3x - 3 + 3 ≤ -66 + 3
Simplifying:
26 < 3x ≤ -63
Next, divide all parts of the inequality by 3:
26/3 < 3x/3 ≤ -63/3
Simplifying:
8.67 < x ≤ -21
Therefore, the solution to the inequality is:
x ∈ (-∞, -21]
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ4
I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR
Answers
Answer: the first one would be 31.65
Step-by-step explanation:
First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655
For the third one x will equal 44.41
what is the solution of 2/3x = 12
Answers
Answer:
x=18
Step-by-step explanation:
Isolate the variable
2/3 x=12
divide by 2/3
x=18
Which measure of center is best to use for this set of data?
45, 39, 49, 37, 3, 51
Answers
Answer:
not sure no attachments but i think its 49 or 37 or both together 88
Step-by-step explanation: