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-Dominant- [34]3 years ago

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What values of b satisfy 3(2b + 3)2 = 36?

KiRa [710]

the correct question is

What values of b satisfy 3(2b+3)^2 = 36

we have

$3(2b+3)^2 = 36$

Divide both sides by $3$

$(2b+3)^2 = 12$

take the square root of both sides

$( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3$

$b1=\frac{\sqrt{12}}{2} -\frac{3}{2}$

$b1=\sqrt{3} -\frac{3}{2}$

$b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}$

$b2=-\sqrt{3} -\frac{3}{2}$

therefore

the answer is

the values of b are

$b1=\sqrt{3} -\frac{3}{2}$

$b2=-\sqrt{3} -\frac{3}{2}$

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3 years ago

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The perimeter of a rectangle is equal to 10. If the length is halved and the width is doubled, the new perimeter is increased by

monitta

Step-by-step explanation:

Let's call x the lenght and y the height. The perimeter will be:

p = 2x + 2y = 10

When the lenght is halved and the height double we'll have:

p = x + 4y = 14

These 2 equations form a system of equations2 that can be solved and give as result:

y = 3

x = 2

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2 years ago

The distance between the points (-1, -6) and (-19, -6) is units

Vladimir [108]

Answer:

Step-by-step explanation:

$\sqrt{ {( - 9 - - 1)}^{2} + {( - 6 - - 6)}^{2} }$

$\sqrt{ {( - 18)}^{2} }$

$\sqrt{324}$

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2 years ago

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some

sergiy2304 [10]

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3 years ago

4x^2-20=5 solve by using the square root property

riadik2000 [5.3K]

Step-by-step explanation:

4x^2 - 20 = 5

4x^2 -25 = 0

4x^2 = 25

2x = 5, or -5

x = 5/2 , or -5/2

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3 years ago