Are the expression 8a^2-4b+7a^2 and 5(3a^2-2b)+6b equivalent

1 answer:

7 0

8a² - 4b + 7a² and 5(3a² - 2b) + 6

First, simplify the expressions.

1) 8a² - 4b + 7a²

Add like terms.

15a² - 4b

2) 5(3a² - 2b) + 6

Distribute 5 by multiplying the number to each terms inside the parenthesis.

15a² - 10b + 6

15a² - 4b ≠ 15a² - 10b + 6

Solution: The expressions are not equivalent.

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Find the slope-intercept form of the equation that passes through the points (3, -4) and (1, 2)

quester [9]

Answer:

y = -3x + 5

Step-by-step explanation:

(y2-y1)/(x2-x1)

Plug coordinates into that

Then plug one of the coordinates into y = -3x+b to get b

3 0

3 years ago

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

Original Equation :
$\frac{-3}{v} = -6$

New Equation {Added Multiply Both Sides by V} :
$\frac{-3}{v} v=-6v$

Solution {New Equation Solved} :
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

Old Equation :
$-3 = -6v$

New Equation {Switched} :
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

Old Equation :
$-6v = -3$

New Equation {Added Divide Both Sides by V} :
$\frac{-6v}{v} = \frac{-3}{v}$

Solution {New Equation Solved} :
$v = \frac{1}{2}$

So, this means that in the equation $\frac{-3}{v} =-6$ , $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

3 0

3 years ago

Find radius of a hemisphere given volume of 144 cm³

marysya [2.9K]

Answer:

The radius is 4.097396898

Step-by-step explanation:

A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume

V = 1/2 ( 4/3 pi r^3)

= 2/3 pi r^3

144 = 2/3 pi r^3

Multiply each side by 3/2