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Jet001 [13]
3 years ago
6

Plz help plz dont skip

Mathematics
1 answer:
marin [14]3 years ago
3 0

Option D: y-7=2(x+1) is the equation of line in point - slope form

Explanation:

Given that the slope is m=2 and the point (-1,7)

We need to determine the equation of the line in point - slope form.

The point - slope form can be determined using the formula,

y-y_1=m(x-x_1)

Let us substitute the point (-1,7) and the slope m=2 in the above formula.

Thus, we have,

y-7=2(x-(-1))

Simplifying the terms, we get,

y-7=2(x+1)

Thus, the equation of the line in point - slope form is y-7=2(x+1)

Therefore, Option D is the correct answer.

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∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

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y ----> the length of the longest side of ∆DEF

so

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substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

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Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

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z^{2}=\frac{x}{y}

we have

z=\frac{1}{10}

so

z^2=(\frac{1}{10})^2

z^2=\frac{1}{100}

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

3 0
2 years ago
36.
nalin [4]

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

8 0
2 years ago
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Answer:

This may be a bit confusing but the answer is,  x= -1/2 + 1/2 √2 or x= -1/2 + -1/2 √2    I Hope This Helps You!!!! sorry if it doesn't!



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