Remember that a binomial expression refers to an algebraic expression with two terms.
In this case, the given expression has two terms.
Hence, it's a binomial, and its degree is 7 because that's the higher exponent.Before solving this system, Danielle noticed that the point of intersection is also the y-intercept of 5x-2y=4
Answer:
Because it is. The point of intersection is the y-intercept. Where the line crosses the y-axis that is your y-intercept.
Step-by-step explanation:
Answer:
(0,4)
Step-by-step explanation:
5x - 2y = 4 Subtract 5x from both sides
5x - 5x -2y = -5x + 4
-2y = -5x + 4 Divide all the way through by -2
y = \(\frac{5}{2}\) x + 4
The y-intercept is 4.
The point to intersection is (0,4)
Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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If the answer is L * W * H then why do you have to divide once you get to H to get the correct answer?
Answer:
Hi! I'm not quite sure what you entirely mean by this but I'll try to help. LxWxH is a formula used to find the volume of a rectangular prism or a box. If this is what you are using it for then there shouldn't a reason to divide. Unless maybe you're trying to find half of a box or you are trying to find the value of one of these in an equation but that's the only thing I can think of. Do you think you might be able to post an example in the comments?
Step-by-step explanation:
What are the polar coordinates of the point P shown below?
Select the correct answer below:
(5,5π4)
(4,−5π4)
(5,7π4)
(4,5π4)
(4,7π4)
(5,−5π4)
Answer:(4,5π/4)
Step-by-step explanation:
Note that the point is on the circle whose radius is labeled 4, so r=4. The angle of the point is 5π4, so θ=5π4. Thus, the polar coordinates are (4,5π4).
Felix has a gross income of $18,000. (single filer and not claimed as a
dependent on someone else's tax return).
What is the taxable income for the
10% bracket for this scenario? $
Answer:Felix's total tax due is "$560".
According to the question,
Gross income,
$18,000
Standard deduction,
$12,400
Now,
The taxable income will be:
=
=
= ($)
hence,
The tax due will be:
=
=
= ($)
Thus the above approach is right.
Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
Evaluate the expression when c=-4 and x=3.
C- 3x
Answer:
-13
Step-by-step explanation:
-4-3(3)
-4-9 = -13
if the earthquake has stronger magnitude what does it mean
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
The delivery truck drives at a constant speed. What is the truck's speed, in miles per hour, on the delivery route? Round the answer to the nearest whole number. Enter the answer in the box.
Answer:
Choose answer below
Step-by-step explanation:
The truck does 3 sides of the square 3 x 24 = 72
and the truck does one entire diagonal of the square
with side lengths 24
diagonal = sqrt (24^2 + 24^2 ) = 33.94 miles
total miles 33.94 + 72 = 105.94 miles in 4.5 hours
105.94 / 4.5 = 23.54 m/hr for the entire trip
The mph for the actual driving time (2.5 hours )
105.94 / 2.5 = 42. 38 m/hr for driving time only
You take thirty measurements in order to find the length of a rod, you calculate the average and obtain the value L0. Supposed that now a different person takes twenty measurements as well of the same rod, then calculates the average and obtains the same L0 as you. Does it mean that both of you obtain a result with the same precision and accuracy
Answer:
Yes, it means that both of you obtain a result with the same precision and accuracy.
Step-by-step explanation:
It is provided that two different people took measurements in order to find the length of a rod.
The first person took 30 measurements.
The second person took 20 measurements.
Both the people got the same average length, i.e. L₀.
In statistics, a larger sample leads to an error free result.
So, for the first person the larger sample helped reducing the chance of any sort of error that may be present.
For the second person, the average is same as the first even when their sample size is less than the first.
This may happen because the sample was selected with a certain precision and accuracy.
Thus, both of them obtain a result with the same precision and accuracy.
The area of a rectangular window is 3816 cm
If the length of the window is 72 cm, what is its width
Answer: The width of the rectangular window is 53 cm.
Step-by-step explanation:
We know that the area of a rectangle is given by the formula:
Area = Length x Width
Substituting the given values, we have:
3816 cm² = 72 cm x Width
To solve for the width, we can divide both sides by 72 cm:
Width = 3816 cm² ÷ 72 cm
Width = 53 cm
Therefore, the width of the rectangular window is 53 cm.
y intercepts of f((x)=x^{2}+2x-3
Answer:
The y-intercept is -3
Written as a point it is (0, -3)
Step-by-step explanation:
To find the y-intercept, let x = 0
(and to find x-intercepts, let y = 0)
So let's let x = 0
f(x) = x^2 + 2x - 3
y = x^2 + 2x - 3
y = 0^2 + 2(0) - 3
y = -3
This means the y-intercept is -3. The graph crosses the y-axis at -3. This is the point (0, -3).
HELP PLEASE NO LINKS!
Answer:
c. 60
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the angle between one of the existing sides and the extension is equal to the sum of the two non-adjacent angles in the triangle. One can apply this theorem here by stating the following,
101 = 41 + x
Use inverse operations to solve for parameter (x),
101 = 41 + x
-41 -41
60 = x
The shapes below are drawn on a centimetre grid. Show that the triangle and the square have the same area.
Both figures have an area of 4 units squared, so yea, the area is the same.
How to find the areas?The area of a square of side length S is equal to S squared, for the square, we can see that:
S = 2 units.
Then the area is:
A = (2 units)² = 4 square units.
For the triangle, we know that the area is equal to:
A = B*H/2
Where B = base, H = height.
We can see that:
B = 2 units.
H = 4 units.
Then:
A = (2 units)*(4 units)/2= 4 square units.
So yea, both have the same area.
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what is 20 x 3-4 + 80 / 988 + 444444 x 343
At Parkes Elementary School, there are 7 fourth‐grade classes with 19 students in each class. On Friday, 26 fourth‐graders brought lunch from home and the rest of the students bought lunch in the cafeteria. How many fourth-graders bought lunch in the cafeteria on Friday?
The number of fourth graders who bought lunch in the cafeteria is given by the equation A = 107 students
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of classes of fourth graders = 7 classes
The number of students in each class = 19 students
So , the total number of fourth graders = 7 x 19 = 133 students
And ,
The number of students who brought lunch from home = 26 students
Now , the number of students who bought lunch from cafeteria A = total number of fourth graders - number of students who brought lunch from home
Substituting the values in the equation , we get
The number of students who bought lunch from cafeteria A = 133 - 26
On simplifying the equation , we get
The number of students who bought lunch from cafeteria A = 107 students
Therefore , the value of A is 107
Hence , the number of students is 107 students
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What is Jana’s unit rate if she rides 15 miles in 50 minutes?
Show your work.
The unit rate of Jana's ride is 0.3 Miles per minutes
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
The unit rate of Jane's ride is
= 15miles/50minutes
= 0.3miles per minute
therefore the unit rate of Jane's ride is 0.3 miles per minute.
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Use the graphs of f and g to evaluate g(f(2))
I have added the photo of the graphs.
When I answered it the first two times I put -2 and then for the second time I put 4 and I got both of them wrong
Answer:
1
Step-by-step explanation:
We have g(f(2))
Working from the inside out, we start with f(2)
So we go to the f(x) graph and find where X is 2. We get to the point (2, -2). f(2) is pretty much asking for the Y value at 2. On this graph the y value is -2
Now that we know f(2) is -2, we can plug that into g(f(2)), giving us g(-2)
Now we can go to the other graph, g(x) and find where X is -2.
That's where we find the point (-2,1)
Like last time, g(2) is asking for that Y value at that point of -2. On this graph, it's 1
Now we can conclude g(f(2)) = 1
Using the graph of g, we can see that g(4) is approximately 3. So, g(f(2)) = 3.
What is the graph?
A graph is a visual representation of data or information, often used in mathematics and science to depict relationships between variables. Graphs can take many forms, including line graphs, bar graphs, scatter plots, and pie charts.
To evaluate g(f(2)), we need to first find the value of f(2) using the graph of f. From the graph, we can see that f(2) is approximately 4. So, g(f(2)) = g(4).
Then, using the graph of g, we can see that g(4) is approximately 3. So, g(f(2)) = 3.
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PLEASE HELP!!! WILL BRAINLIEST!!!
This is the answer for youuu!
Give me the brainlest hehee
7,1
14,2
21,3
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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3.4( x + 7) - 2.1 = 35.5
Step-by-step explanation:
This is an equation, where we need to find the value of x.
To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8
Now we have the equation:
3.4x + 23.8 - 2.1 = 35.5
Next, we can add 2.1 to both sides of the equation:
3.4x + 23.8 = 37.6
Then, we can subtract 23.8 from both sides of the equation:
3.4x = 13.8
Finally, we can divide both sides of the equation by 3.4 to find the value of x:
x = 4
Therefore, the value of x that solves the equation is 4.
Which Inequality is shown on the accompanying graph (image included)
If you can, pls explain :’)
Answer:
4. x ≥ -1
Step-by-step explanation:
The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.
Therefore, we can say x is greater than or equal to -1.
This is represented as:
x ≥ -1
what are the zeros of f(x)=(x-2)(3x+1)
\( 2,- \frac{1}{3} \)
Answer:
( x-2) ( 3x+1)
3x^2 + x - 6x - 2
x( 3x + 1 ) -2( 3x + 1 )
( 3x + 1 ) ( x - 2 )
either
3x + 1 = 0
3x = -1
x = -1/3
or
x - 2 = 0
x = 2
( -1/3 , 2 )
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
09:30 to 17:00 minus 30 minutes
How many hours is that ?
Answer:
7 hours
Step-by-step explanation:
9 : 30 to 17:00 = 7 hours 30 minutes
Minus 30 minutes = 7 hours
a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
Here's how we can do a combination of 8 digits: The first step is to choose a digit at random (from 0 to 9 include, 0 could be the first digit). This process is repeated seven more times. Please answer the following question: 1- What is the probability that every digit is different?
The probability that every digit is different
\( \frac{10}{7} \)
How to find the probability?Probability is a method of determining how likely something is to happen. Many things are difficult to forecast with absolute certainty.
Probability means the wide variety of approaches of reaching success. If the whole variety of possible results are there.
given that
here take the combination of 8 digits.
The first step is to choose a digit at random (from 0 to 9 include, 0 could be the first digit)
This process is repeated seven more times.
so, the total possible outcomes be 7.
the number of favourable outcomes that every digit is different be 10 .
then
\(probability = \frac{number \: of \: favourable \: outcomes}{total \: outcomes} \)
\(probability = \frac{10}{7} \)
so ,the probability that every digit is different is 10/7
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Write the equation in standard form. y - 2 = -2(x - 9)
I believe that the answer is y=-2x +20. please correct me if I am wrong.
Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown. If he pulls a marble out of each bag, what is the probability that he will pull out a blue marble from each bag
Answer: 0.1
Step-by-step explanation:
Given
Bag-I has 2 blue,3 orange, 5 red
Bag-II has 4 Pink,10 blue, 6 brown
No of ways of choosing a blue marble from bag-I
\(\Rightarrow ^2C_1\)
Total no of ways of choosing a marble from bag-I
\(\Rightarrow ^{10}C_1\)
No of ways of choosing a blue marble from bag-II
\(\Rightarrow ^{10}C_1\)
Total no of ways of choosing a marble from bag-II
\(\Rightarrow ^{20}C_1\)
The probability that he will pull out a blue marble from each bag is
\(\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}\)
\(\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}\)