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3 years ago

Convert from standard form to Slope intercept form: -2x + 5y = -15

2 answers:

7 0

The slope intercept form is y = mx + b.

The first thing we have to do here is move the term with the x variable over to the right side of the equation.

-2x + 5y = -15 And we do that by adding 2x to both sides of the equation.

5y = 2x - 15

We then have to get y alone. So we divide 5 on both sides.

The answer is y = 2/5x - 3

irinina [24]3 years ago

3 0

Y= 2/5x - 3
*Hope this helped!!!

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Please help me with this ASAP Don’t ANSWER With links please ****

Lemur [1.5K]

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

$10^2=(6)^2+h^2$

$100=36+h^2$

$100-36=h^2$

$64=h^2$

Taking square root on both sides, we get

$\sqrt{64}=h$

$8=h$

The lateral area of a cone is:

$A_L=\pi rl$

$A_L=\pi (6)(8)$

$A_L=48\pi$

The surface area of a cone is:

$A_S=\pi rl+\pi r^2$

$A_S=\pi (6)(8)+\pi (6)^2$

$A_S=48\pi +36\pi$

$A_S=84\pi$

Volume of cone is:

$V=\dfrac{1}{3}\pi r^2h$

$V=\dfrac{1}{3}\pi (6)^2(8)$

$V=\dfrac{288}{3}\pi$

$V=96\pi$

Therefore, the lateral area of a cone is $48\pi$ sq. units, the surface area of a cone is $84\pi$ sq. units and the volume of the cone is $96\pi$ cubic units.

7 0

3 years ago

Find the area of the circle and the sector.

Georgia [21]

Area of a circle is PI x r^2:

Area of circle = 3.14 x 13^2 = 530.66 square meters.

To find the area of the sector multiply the area of the circle by the fraction of the sector

Area of sector = 530.66 x 150/360 = 221.108 square meters ( Round the answer as needed).

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3 years ago

Owen ate three-eighths of a pizza for lunch. For dinner, he ate two-thirds of what was left from lunch. How much of the whole

Step2247 [10]

Answer: 5/12 of the whole pizza

So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12

8 0

3 years ago

What is the length of one side of a cube that has a surface area of 1,734 square mm?

jarptica [38.1K]

Answer:

a = 17

Step-by-step explanation:

1,734 = 6a^2

1,734/6 = 6a^2/6

$\sqrt{289}$ = $\sqrt{a^2}$