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stepladder [879]
3 years ago
7

Catherine used the two points and the right triangle shown to find the slope of the line Catherine found the slope to be 1/10. I

s she correct? Explain using complete sentences.

Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

Catherine is not correct (see the explanation)

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

the two points from the graph are

(4,40) and (7,70)

substitute the values in the formula

m=\frac{70-40}{7-4}\\m=\frac{30}{3}\\m=10

therefore

Catherine is not correct

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2)<br> 3<br> 3 cm<br> 9 cm<br> Find area
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27cm^2

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Solve the system by substitution.<br> y = -3x + 4<br> y = -7x<br> Submit Answer
iVinArrow [24]

Answer:

{y,x} = {7,-1}

Step-by-step explanation:

(-7x) + 3x = 4

- 4x = 4

 4x = - 4

x = - 1

   y = -7x

   x = -1

   y = -7(-1) = 7

5 0
3 years ago
Find the area of the shape shown below. Please answer.
dimulka [17.4K]

Answer:

32

Step-by-step explanation:

2x2=4/2=2  small triangle, 2x2=4 small square, 6x2/2=6 med. triangle, 6+2+2=10x4=40/2=20

2+4+6+20=32

3 0
3 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Vitek1552 [10]

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

3 0
3 years ago
Read 2 more answers
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