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Ray Of Light [21]

2 years ago

10

Can someone explain this to me?

1 answer:

Evgesh-ka [11]2 years ago

3 0

The slope of Line M (y = 2/3x - 3) is 2/3. To figure out the slope of Line N, you need to use the equation:
$m = \frac{y_2-y_1}{x_2-x_1}$

Choose any two points on the table, I chose (-2, -2) and (4, 2). Plug in and solve:
$m = \frac{2-(-2)}{4-(-2)} = \frac{2+2}{4+2} = \frac{4}{6} = \frac{2}{3}$

So, they do indeed have the same slope of 2/3. Therefore, the answer must be A.

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12. The ratio of clown fish to angelfish at a pet store is 5:4. The ratio of

777dan777 [17]

Answer:

a. There are 48 angelfish.

b. There are 36 goldfish.

Step-by-step explanation:

the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.

60:? 5x=60 x=12 12(4)=48

60:48 there are 48 angelfish

the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish

48:? 4x=48 x=12 12(3)=36

48:36 there are 36 goldfish

4 0

3 years ago

Read 2 more answers

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

Veronica wants to check her work after evaluating -108 -(-6). What steps can she follow to verify her answer

IrinaVladis [17]

Answer:

She can use a calculator

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The product of a number y and 3 is 6

Solnce55 [7]

Answer:

y = 2

Step-by-step explanation

$3y=6$

Divide both sides by 3

$\frac{3y}{3} =\frac{6}{3}$

Simplify

$y=2$

8 0

3 years ago

How many ways can four runners finish a race?<br> 4<br> 1<br> 10<br> 24

Whitepunk [10]

That's 4! (faculty), ie., 4x3x2x1 = 24.
one of four can win, then there are 3 left for second place, and so on...

5 0

3 years ago

Read 2 more answers