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soldier1979 [14.2K]
3 years ago
12

Take a factor out of the square root:

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

1.  |y| sqrt(10)

2.  |x| sqrt(x)

3. a^2 sqrt(a)

4.  4 |y|^3 sqrt(3)

5.  1/4 *|x| sqrt(3x)

Step-by-step explanation:

1.  sqrt(10y^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(y^2) sqrt(10)

|y| sqrt(10)

We take the absolute  value of y because -y*-y = y^2 and the principle square root is y

2.  sqrt(x^3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(x^2) sqrt(x)

|x| sqrt(x)

3. sqrt(a^5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(a^4) sqrt(a)

a^2 sqrt(a)

4.  sqrt(16 y^7)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(y^6)sqrt(y)

4 |y|^3 sqrt(3)

5.  sqrt(3/16x^3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(1/16) sqrt(x^2)sqrt(3x)

1/4 *|x| sqrt(3x)

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Shalnov [3]
The answer is ZBM.

Have a lovely day!
6 0
4 years ago
What value of t is a solution to this equation?<br><img src="https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B2%7D%20-16%3D-18" id="TexF
klemol [59]

Answer:

t= -4

Step-by-step explanation:

t/2-16= -18

first add 16 to both sides

t/2-16+16= -18+16

t/2= -2

now multiply both sides by 2

(t/2)2=-2(2)

t= -4

answer check:

substitute the variable for -4

-4/2-16= -18

-4/2= -2

-2-16= -18

-18= -18

3 0
3 years ago
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11111nata11111 [884]
Area equals 86.7 cm squared
4 0
3 years ago
Find the distance between the two points. (round to the nearest hundredths)
4vir4ik [10]

Answer:

d = 5.10

Step-by-step explanation:

The distance between two points is given by

d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 )  where ( x1,y1) and ( x2,y2) are the two points

d = sqrt( ( 5-6)^2 + (8-3)^2 )  

d = sqrt( ( -1)^2 + (5)^2 )  

d = sqrt(  1+25)

d = sqrt(26)

d = 5.099019514

Rounding to the nearest hundredth

d = 5.10

6 0
4 years ago
Read 2 more answers
A line has a slope of 4 and passes through the point (2, 6). What is the equation in slope-intercept form?
Marrrta [24]

Answer:

y=4x-2

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept.

y-6=4(x-2)

y-6=4x-8

y=4x-8+6

y=4x-2

8 0
4 years ago
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