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3 years ago

What is the slope and y intercept of the line represented by this equation below? 3x+8y=2

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

And the answer is B.

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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

x ----> the length of the longest side of ∆ABC

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

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

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

solve for x

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

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

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

x ----> the area of ∆ABC

y ----> the area of ∆DEF

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

we have

$z=\frac{1}{10}$

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

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

therefore

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

3 0

2 years ago

ASA SSS SAS AAS???HELPPP

algol [13]

Answer:

I think it's SSS

3 0

3 years ago

Read 2 more answers

Andrea and her friends love cake. Andrea has two cakes. Each of her friends are going to eat 2/3 of a cake. How many servings of

BigorU [14]

Divide 2 cakes by 2/3 serving:

2 / 2/3 = 2 x 3/2 = 6/2 = 3 servings.

7 0

3 years ago

Read 2 more answers

Can someone please check this (#4) for me?

IrinaVladis [17]

Answer:

What you are doing wrong is that you are using the formula to find the area of the entire circle rather than using the formula to find a sector of a circle. The two cases uses 2 different kind sentences of formulas.

3 0

3 years ago

What is the product of 3x(x + 4)<br> cOf

Lyrx [107]

Answer:

3x²+12x

Step-by-step explanation:

Expand the brackets

6 0

3 years ago