Which is equivalent to (3 + 2i)(3 + 2i)

What is the square root of 5x^2 = 300

vesna_86 [32]

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Step-by-step explanation:

We need to find the square root of 5x^2 = 300

Writing in mathematical form:

$5x^2=300$

Divide both sides by 5

$\frac{5x^2}{5}=\frac{300}{5}$

$x^2=60$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{60}$

$x=\pm (\sqrt{2\times 2\times 3\times 5})$

$x=\pm (\sqrt{2^2 \times 3\times 5})$

$x=\pm (2\sqrt{3\times 5})$

$x=\pm (2\sqrt{15})$

$x=2\sqrt{15},\,\,x=-2\sqrt{15}$

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Keywords: Square root

Learn more about square root at:

#learnwithBrainly

7 0

3 years ago

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 14 square centimet

stiv31 [10]

Answer:

I am not sure the answer but I can say this from my experiences, to know the shapes and sizes, you may measure like I usually do.

Step-by-step explanation:

I am not sure

7 0

3 years ago

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A giraffe can travel 800 feet in 20 seconds. Write a direct variation equation for the distance traveled any time | Please expla

Diano4ka-milaya [45]

The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft

Hope this helps!

8 0

2 years ago

Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; t

Ne4ueva [31]

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

3 0

2 years ago

WILL MARK BRAINLIEST!!!

statuscvo [17]

Answer:

First Equation = X= −2 /3 =y

Second Equation = 2y+32

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers