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3 years ago

The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?

Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

Step-by-step explanation:

volume of the rectangular prism is obtained from the following equation :

rectangular prism base area × rectangular prism height

so the volume is : 256 × h

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Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

First we will solve the radical equation (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because when we first squared both sides of the equation in the first part of the problem we missed one value for x (remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

6 0

2 years ago

FOR 100 POINTS!!!!!!!!!!! Solve the equation. 3(4x + 4) = 2(5x + 9) - 12

Tatiana [17]

Answer:

Step-by-step explanation:

Isolate x on one side of the equation.

DISTRIBUTIVE PROPERTY

A(B+C)=AB+AC

A(B-C)=AB-AC

3(4x+4) (First, expand.)

3*4x=12x

3*4=12

12x+12

2(5x+9)-12

2*5x=10x

2*9=18

10x+18

18-12=6

12x+12=10x+6

12x+12-12=10x+6-12 (Subtract 12 from both sides.)

6-12 (Solve.)

12-6=6

12x=10x-6

12x-10x=10x-6-10x (Subtract 10x from both sides.)

12x-10x (Solve.)

12x-10x=2x

2x=-6

2x/2=-6/2 (Then, divide by 2 from both sides.)

-6/2 (Solve.)

-6/2=-3

x=-3

As a result, the final answer is x=-3.

6 0

3 years ago

Read 2 more answers

What is the value of x, when 10(x + 2) = 5(x + 8)?

Studentka2010 [4]

The correct answer to this question is B

5 0

3 years ago

Which one greater 8.20 or 8.2

nata0808 [166]

Neither because the 0 in 20 has no value so u dont count it.there equal

6 0

2 years ago

Read 2 more answers

Can someone please find the value of X for these two questions?

german

12.
50/3
14.
60/11
hope this help, if you need futher help pm me

4 0

3 years ago