How many solutions exist for the system of equations graphed below?
Help please !
Answer:
none (0) ...
think of two lines (or chop sticks places on a table) ...
there are three (3) possible orientations that they can be in.
1) they cross each other at one point
2) they are on top of each other (they touch everywhere)
3) they are side by side (parallel)
in situation one we say we have a solution
in situation two we say there is an infinite solutions (the same line)
in situation three (your problem) we say there is no solution (parallel lines)
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
Help me if you can thanks
Answer:
do this by first finding the greatest common factor of 0 and 23, which is 23
Then, we divide both 0 and 23 by the greatest common factor to get the following simplified fraction 0/1
Step-by-step explanation:
Hope it helped! :D
classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinity many solutions
classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinity many solutions
we have the equation
6(x+2)=5(x+7)
solve for x
6x+12=5x+35
6x-5x=35-12
x=23
therefore
the answer is
one solutionSuppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects the exterior angle at A. If AB = 9, AC = 6, and CD = 12, find BC.
The value of BC is 4. Therefore, option B) 4 is the correct answer. Given that AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects the exterior angle at A. AB = 9, AC = 6, and CD = 12, we have to find BC.
There are two ways to approach the solution of the problem, one way is by using the Law of Cosines and another way is by using the Angle Bisector Theorem.
Let's use the Angle Bisector Theorem to solve the given problem:
We know that AD bisects the exterior angle at A. So, ∠BAC = ∠CAD (Angle Bisector Theorem)
Therefore, (AB/AC) = (BD/DC) (Angle Bisector Theorem)
Now substitute the given values in the above equation to get:
(9/6) = (BD/12)
Multiplying both sides by 12,
we get: BD = 18
Again, using the Angle Bisector Theorem, we have:
BC/CD = AB/AD
Now, substitute the given values in the above equation, we get:
BC/12 = 9/(9+18)BC/12
= 1/3
Multiplying both sides by 12, we get:
BC = 4
Hence, the value of BC is 4. Therefore, the correct option is (B) 4.
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Plz help me!! Plz!!!!
Answer: x=15
Step-by-step explanation: Side splitter theorem means you can treat the triangle sides as a ratio. So if 25/15 = 1.666666667 then 1.666666667*9 = 15
when ratios have the same units we call that ratio _____________
Therefore, When ratios have the same units, we call that ratio a unit ratio.
When ratios have the same units, we call that ratio a unit ratio. An explanation of what is meant by the term ratio would be helpful. A ratio compares the relative sizes of two or more quantities. If the numbers being compared have the same units, then it is called a unit ratio. Unit ratios are ratios that relate to each other in terms of the same measurement unit. They are also sometimes known as unit rates or unit fractions. They are frequently used to compare the relative size of one quantity to another when they are measured in the same units. For example, when we say that there are two apples for every five oranges, we are expressing a ratio between apples and oranges. However, when we say that there are two apples per five oranges, we are using a unit ratio.
Therefore, When ratios have the same units, we call that ratio a unit ratio.
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please help thank you.
The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°
How to calculate the angleIn a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.
Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.
Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:
180° - 120°
= 60°.
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Use the associative property of addition to rewrite (12+3)+7.
Which expression is equivalent?
A. 12(3 + 7)
B. (5 + 5 + 3) + 7
C. (12 - 3) + 7
D. 12 + (3 + 7)
Answer: b
Step-by-step explanation:
A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries?
There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
The total amount of berries = 212 pounds
The number of berries received by each one = 54 pounds
Then, the number of friends sharing the berries is:
212/54 = 3.92 ≈ 4 friends.
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What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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When I have the problem (x−2)^2, why is the answer not x^2−4 or x^2+4?
Answer:
We need to square a binomial.
The following rule is applied:
In our example,
is equal to ,
is equal to and
is equal to .
Step-by-step explanation:
Factor Completely.
25z^2 − 36w^2
Answer:
(5z-6w)(5z+6w)
Step-by-step explanation:
Hi there!
We're given the expression 25z²-36w² and we want to factor it.
The expression written as a difference of squares. The difference of squares is given as a²-b²=(a-b)(a+b)
Let's label the values of what is a² and b², and then try to determine what a and b are from that information
\(a^{2}=25z^2\\b^2=36w^2\)
Alright then! Let's square root both sides to find what a and b are
\(\sqrt{a^2}=\sqrt{25z^2\)
Which then means:
a=5z
And then for b:
\(\sqrt{b^2}=\sqrt{36w^2}\)
b=6w
Now substitute those values into the formula
a²-b² = (a-b)(a+b)
\(25z^{2}-36w^2=(5z-6w)(5z+6w)\)
Hope this helps!
An inequality is shown.
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.
Fοr the inequality 12 + 11/6x ≤ 5 + 3x, the cοrrect οptiοns are -
E. 6 ≤ x
F. The sοlutiοn set is (x l x∈R, x ≥ 6].
What is an inequality?In Algebra, an inequality is a mathematical statement that uses the inequality symbοl tο illustrate the relatiοnship between twο expressiοns. An inequality symbοl has nοn-equal expressiοns οn bοth sides. It indicates that the phrase οn the left shοuld be bigger οr smaller than the expressiοn οn the right, οr vice versa.
Tο sοlve the inequality 12 + 11/6x ≤ 5 + 3x, we can fοllοw these steps -
Mοve all the terms cοntaining x tο οne side -
12 + 11/6x - 3x ≤ 5
Simplify the left-hand side -
72/6 + 11/6x - 18/6x ≤ 5
(72 + 11x - 18x)/6 ≤ 5
(72 - 7x)/6 ≤ 5
Multiply bοth sides by 6 tο eliminate the fractiοn -
72 - 7x ≤ 30
Mοve all the terms cοntaining x tο οne side -
72 - 30 ≤ 7x
42 ≤ 7x
Divide bοth sides by 7 (since 7 is pοsitive, we dοn't need tο flip the inequality) -
6 ≤ x
Therefοre, the cοrrect statement(s) and number line(s) that can represent the inequality are -
E. 6 ≤ x
F. The sοlutiοn set is (x ∈ R, x ≥ 6].
This means that the sοlutiοn set includes all real numbers greater than οr equal tο 6.
The interval nοtatiοn (6, ∞) cοuld alsο be used tο represent this sοlutiοn set.
Optiοn A is incοrrect because it οnly includes natural numbers (pοsitive integers), but the sοlutiοn set includes all real numbers greater than οr equal tο 6.
Optiοn B is incοrrect because it shοws a number line frοm -7 tο 7, which is nοt relevant tο the sοlutiοn set.
Optiοn C is incοrrect because it shοws an arrοw with a filled circle mοving tοwards pοsitive infinity, which implies that the sοlutiοn set is all pοsitive numbers, but the inequality οnly requires x tο be greater than οr equal tο 6.
Optiοn D is incοrrect because it is tοο limited in scοpe - it οnly tells us that the number substituted fοr x is greater than 6, but dοesn't give us the full sοlutiοn set.
Therefοre, οptiοn E and F are cοrrect.
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The equation below has one solution.
9 x minus 10 = 3 x + 2
What is the solution to the equation?
a –2
b –1
c 1
d 2
Answer:
d) x = 2
Step-by-step explanation:
9x - 10 = 3x + 2
6x - 10 = 2 [Subtract 3x from both sides]
6x = 2 + 10 [Subtract 10 from both sides]
6x = 12 [Combine 2+10]
x = 2 [Divide both sides by 2]
suppose your dog weighed 5.5 pounds at birth and weighed 20 pounds a year later. based on these 2 data points, find a linear function that describes how weight varies with age. use this function to predict your dog's weight at 5 and 20 years. comment on the validity of this model.
The linear function that describes how weight varies with age is y = 14.5x + 5.5.
How to find the linear function that describes the relationship between weight and age for your dog?To find a linear function that describes how weight varies with age based on the given data points, we can use the slope-intercept form of a linear equation: y = mx + b.
In this case, "y" represents the weight, "x" represents the age, "m" represents the slope (rate of change in weight with respect to age), and "b" represents the y-intercept (initial weight at birth).
Given that the dog weighed 5.5 pounds at birth (x = 0) and weighed 20 pounds a year later (x = 1), we can calculate the slope using the formula: \(m = (y_2 - y_1) / (x_2 - x_1)\).
Plugging in the values, we have
m = (20 - 5.5) / (1 - 0)
= 14.5 / 1
= 14.5.
Now we can substitute the slope and one of the data points into the equation to solve for the y-intercept (b).
Using the point (0, 5.5), we have 5.5 = 14.5(0) + b, which simplifies to b = 5.5.
Therefore, the linear function that describes how weight varies with age is y = 14.5x + 5.5.
To predict the dog's weight at 5 years, we substitute x = 5 into the equation:
y = 14.5(5) + 5.5
= 72.5 + 5.5
= 78 pounds.
To predict the dog's weight at 20 years, we substitute x = 20 into the equation:
y = 14.5(20) + 5.5
= 290 + 5.5
= 295.5 pounds.
It's important to note that while the linear function provides a simple model to predict the dog's weight based on age, its validity may be limited.
The model assumes a constant rate of change in weight over time, which may not hold true for all dogs. Factors such as breed, genetics, health, and lifestyle can significantly influence weight variation.
Additionally, the model is based on only two data points, which may not capture the full range of weight changes that occur over a dog's lifespan.
Therefore, it's advisable to consider this model as a rough estimation and to consult with a veterinarian for a more accurate assessment of your dog's weight as they age.
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Helppp translation and reflection
The images of points B and C are B'(x, y) = (- 2, 6) and C'(x, y) = (- 1, 7), respectively.
How to compute the image of a point by translation
In this problem we find must determine the image of two points by translation, whose formula is introduced below:
T(x, y) = P'(x, y) - P(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Resulting point.T(x, y) - Translation vector.First, determine the translation vector:
T(x, y) = (1, 4) - (0, 0)
T(x, y) = (1, 4)
Second, determine the images of points B and C:
B'(x, y) = (- 3, 2) + (1, 4)
B'(x, y) = (- 2, 6)
C'(x, y) = (- 2, 3) + (1, 4)
C'(x, y) = (- 1, 7)
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the scores on a statistics test had a mean of 81 and a standard deviation of 9. one student was absent on the test day, and his score wasn’t included in the calculation. if his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?
Considering the concepts of the mean and the standard deviation, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/26941429
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what is an irritaional number
Answer:
irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2. A counterpart problem in measurement would be to find the length of the diagonal of a square whose side is one unit long; there is no subdivision of the unit length that will divide evenly into the length of the diagonal
Answer:
Step-by-step explanation:
a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational. Irrational means not Rational
Solve for x: -243 = -9(10 + x)
Answer:
x=17
Step-by-step explanation:
−243=−9(10+x)
Step 1: Simplify both sides of the equation.
−243=−9(10+x)
−243=(−9)(10)+(−9)(x)(Distribute)
−243=−90+−9x
−243=−9x−90
Step 2: Flip the equation.
−9x−90=−243
Step 3: Add 90 to both sides.
−9x−90+90=−243+90
−9x=−153
Step 4: Divide both sides by -9.
−9x/−9
= −153/−9
x=17
Answer:
x=17
Step-by-step explanation:
I took the test!
n is an integer
Write the values of n such that \(-8\leq 4n\ \textless \ 12\)
Answer:
-2, -1, 0, 1, 2,
Step-by-step explanation
Divide the whole thing by 4.
You will have -2 \(\leq\) n < 3
The only values that fit range from -2 to 2.
Casho is 1.35 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 16.95 meters. She stands 12.8 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
5.51 m
Step-by-step explanation:
16.95 - 12.8 = 4.15 Therefore, Casho is standing 4.15 m from the end of the tree's shadow.
Now use ratios to find the height of the tree.
16.95/4.15 = h/1.35
h = (16.95/4.15) x 1.35 = 5.513855422...= 5.51 m
A moving company rents trucks for $19.95 per day plus $0.25 per mile for the first 50 miles. The company charges $0.40 per mile after the first 50 miles. How much will it cost a person to rent the truck for two days and drive 75 miles?
The cost for a person to rent the truck for two days and drive 75 miles will be $62.4.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A moving company rents trucks for $19.95 per day plus $0.25 per mile for the first 50 miles. The company charges $0.40 per mile after the first 50 miles.
Then the cost for a person to rent the truck for two days and drive 75 miles will be
⇒ $19.95 × 2 + $0.25 × 50 + $0.40 × 25
⇒ $39.9 + $12.50 + $10
⇒ $62.4
The cost for a person to rent the truck for two days and drive 75 miles will be $62.4.
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Find x round to the nearest 100th. (Please try to show work if you can, thank u).
Thus, the missing side 'x' of the given right triangle is found as 4.442 cm.
Explain about the tangent function:A crucial periodic function in trigonometry is the tangent function.
Using the unit circle is the easiest approach to comprehend the tangent function.
Construct a unit circle on the coordinate plane, centre the angle on the origin, then identify one side as the positive x-axis for a particular angle measure. The point where the opposite side of angle intersects the circle has an x-coordinate of cos(θ), and a y-coordinate of sin(θ).
For the given right triangle:
using tangent function:
tan Ф = perpendicular / adjacent side
tan 36° = x / 7
x = 7 * tan 36°
x = 4.442
Thus, the missing side 'x' of the given right triangle is found as 4.442 cm.
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Answer: \(x=4.442\)
Step-by-step explanation:
We need to use the tangent formula.
tan 36°
Then, we need to multiply tan 36 by 7.
\(x=tan36*7\)
\(x=4.442\)
MATHSWATCH HELP easy questions TRANSFORMATION
The single transformation that takes shape A to shape B is a translation by 6 units to the right and 4 units downwards.
To determine the single transformation that takes shape A to shape B.
we can analyze the changes in the coordinates of the corresponding vertices.
Comparing the coordinates of each vertex:
Vertex a(1, 6) transforms to a'(7, 6).
Vertex b(3, 8) transforms to b'(9, 4).
Vertex c(5, 6) transforms to c'(7, 2).
Based on these transformations, we can observe the following:
The shape has been translated horizontally by 6 units to the right and vertically by 4 units downwards.
This is evident from the change in the x-coordinates and y-coordinates of each corresponding vertex.
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A baseball game ticket is originally priced at $130. Later the baseball game ticket's price is discounted to $91.
Enter the percent of the discount for the adjusted cost of the baseball game ticket
Answer:
30%
Step-by-step explanation:
Original price (100%) = $130
Discounted price = $91
Discount = 130-91 = $39
$130 = 100%
$1 = 100/130
$39 = 100/130 × 39 = 30 %
% discount = 30%
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
please help due in 20 minutes
In ∆PTQ
Apply Pythagorean theorem
\(\\ \tt\hookrightarrow PT^2=PQ^2+QT^2\)
\(\\ \tt\hookrightarrow PT^2=15.4^2+9.3^2=323.16\)
\(\\ \tt\hookrightarrow PT=17.9\)
In ∆TRQ
\(\\ \tt\hookrightarrow tan44.4=\dfrac{QT}{TR}=\dfrac{9.3}{TR}\)
\(\\ \tt\hookrightarrow 0.9=\dfrac{9.3}{TR}\)
\(\\ \tt\hookrightarrow TR=\dfrac{9.3}{0.9}=10.3\)
PR=PT+TR=10.3+17.9=28.2cmNow
Area:-
\(\\ \tt\hookrightarrow 1/2bh\)
\(\\ \tt\hookrightarrow 1/2(28.2)(9.3)\)
\(\\ \tt\hookrightarrow 14.1(9.3)\)
\(\\ \tt\hookrightarrow 131.13cm^2\)
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Answer:
97879
Step-by-step explanation:
Give me brainliest
What two trigonometric function can be divided to get cotangent?
Answer:
the cotangent is = cos / sen or 1/ tan
Answer:
We know that tan x = sin x / cos x.
As such, cot x is simply the inverse of tan x, or cos x/ sin x.
\(cot\ x = \frac{cos\ x}{sin\ x}\)
You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person, you conclude that you must have become an Egyptian pharoah. You decide to honor yourself with a pyramid of your own design. You decide it should have height h 1020 and a square base with side s = 2400 To impress your Egyptian subjects, find the volume of the pyramid.
Given:
height, h = 1020 units
side of base, s = 2400 units
Required :
Volume of the Pyramid, V
Solution:
\(V=\frac{1}{3}Bh\)where B is the area of the base and h is the height of the pyramid.
Since the base of the pyramid is a square,
\(B=s^2\)Therefore,
\(\begin{gathered} V=\frac{1}{3}s^2h \\ V=\frac{1}{3}(2400)^2(1020) \\ V=1,958,400,000cubic.units \end{gathered}\)Answer:
The volume of the pyramid is 1,958,400,000 cubic units.
Answer:
To find the volume of the pyramid using integration, we can consider dividing the pyramid into an infinite number of small horizontal slices. Each slice will be a rectangle with width "dx" and length equal to the corresponding side of the square base. Let's denote the variable "x" as the height of each slice, starting from the base of the pyramid. The width of each slice, "dx," will represent a small change in height as we move from the base to the top. The area of each slice can be calculated as the area of a square base, which is "s^2," multiplied by the width "dx." So, the area of each slice is "s^2 * dx." To find the volume of the entire pyramid, we need to sum up the volume of all these small slices. This can be done by integrating the area function from x=0 (base of the pyramid) to x=h (top of the pyramid): Volume = ∫[0 to h] s^2 * dx In this case, s=1340 and h=1280. Integrating the function gives us: Volume = ∫[0 to 1280] 1340^2 * dx Volume = 1340^2 * ∫[0 to 1280] dx Integrating the function "dx" with respect to "x" simply gives us "x": Volume = 1340^2 * [x] [0 to 1280] Now, we can substitute the values of x=1280 and x=0 into the expression: Volume = 1340^2 * [1280 - 0] Volume = 1340^2 * 1280 Volume = 227,072,000 cubic units So, the volume of the pyramid is 227,072,000 cubic units. Note: It's important to understand that this is just one way to approach the problem. There may be alternative methods to find the volume of the pyramid using integration, but this is a commonly used approach.