<img src="https://tex.z-dn.net/?f=%5Csqrt%2812-8x%29%3Dx-3" id="TexFormula1" title="\sqrt(12-8x)=x-3" alt="\sqrt(12-8x)=x-3" ali

All categories

Delvig [45]

3 years ago

gn="absmiddle" class="latex-formula">

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Step-by-step explanation:

$\sqrt{12-8x} =x-3\\$

square both sides

$12-8x=(x-3)^2$

expand

$12-8x=x^2-6x+9$

simplify

0=x^2+2x-3

Factor

0=(x+3)(x-1)

the possible values for x are -3 and 1

Hope that helps :)

You might be interested in

RATING BRAINLIEST Which of the following demonstrates the Distributive Property?

ra1l [238]

Answer:

D: 4(2a+3)=8a+3

Step-by-step explanation:

4x2a = 8a and 4x3 = 12

4 0

2 years ago

Read 2 more answers

GEOMETRY:

iragen [17]

Answer:

See explanation

Step-by-step explanation:

∠POR is congruent to ∠VOE because they are vertical angles

∠PRV is congruent to ∠RVE because alternate interior angles are congruent when the lines are parallel.

VO is congruent to OR which is given

Therefore, ΔPRO is congruent to ΔEVO by the angle-side-angle theorem

So, PR is congruent to VE because corresponding parts of congruent triangles are congruent

6 0

3 years ago

Find the value of x.

tester [92]

Answer:

The value of x is 5x that the value of X in my oppion.

Step-by-step explanation:

8 0

2 years ago

The expression that is equal to -10(4x – 5).

notka56 [123]

The best answer to your question would have to be -40x - 50

4 0

3 years ago

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the

shepuryov [24]

The area of a shape is the amount of space it can occupy.

The surface area of the larger prism is 4 times the surface area of the smaller prism.

Let the dimension of one side of the smaller prism be: l and w

Let the dimension of one side of the bigger prism be: L and W

So, we have:

$L = 2l$

$W =2w$

The area of these corresponding sides are:

$A_1 =l \times w$ ---- the first

$A_1 = lw$

While, the area of the second is:

$A_2 =2l\times 2w\\$

$A_2 =4lw$

The ratio of these two sides are:

$Ratio = A_1 : A_4$

This gives

$Ratio = lw : 4lw$

Cancel out common terms

$Ratio = 1 : 4$

Express as fractions

$Ratio = \frac 14$

Also, we have:

$Ratio = \frac{Small}{Large}$

This gives

$\frac{Small}{Large} = \frac 14$

Cross multiply

$Large = 4 \tiimes Small$

$Large = 4\4Small$

Hence, option (c) is true