Write the slope intercept form of the equation of each line y+5=-4/5(x-4)

Mathematics

1 answer:

Leona [35]3 years ago

8 0

Answer:

y=-4/5x+3.2-5

Step-by-step explanation:

Start by multiplying -4/5 by everything in the Perenthises, These> ()

Which gives you y+5=-4/5+3.2

Then you rearange the equation to where y is alone, so move the five to the other side of the equal sign (Remember: When changing sides, the signs always change)

Then you'll get the slope intercept form: y=-4/5x+3.2-5

Hope I helped!

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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are

Sveta_85 [38]

Answer:

$\huge\boxed{1000 \ \text{cm}^3}$

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be $a^{\frac{3}{2}}$ , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

$100^{\frac{3}{2}}$

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - $100^{\frac{3}{2}}$ becomes $\sqrt{100^3}$

$100^3=1000000$

$\sqrt{1000000}=1000$

Therefore, the volume of this cube will be $1000 \ \text{cm}^3$

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be $s^2$ , where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is $s^3$ .