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Dmitriy789 [7]
3 years ago
12

Rewrite this radicand as two factors, one of which is a perfect square.

Mathematics
2 answers:
seropon [69]3 years ago
5 0

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

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

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

Ilia_Sergeevich [38]3 years ago
3 0
The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)
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Find the slope of the line through each pair of points.
Elenna [48]

hello here is a solution



4 0
3 years ago
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Vladimir79 [104]

Answer:

The equation best represents the line is:

  • y = 3x-1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Taking the two points

  • (0, -1)
  • (1, 2)

Determining the slope between the points (0, -1) and (1, 2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)

m=\frac{2-\left(-1\right)}{1-0}

Refine

m=3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the point (0, -1)

It means at x = 0, y = -1

Thus, the y-intercept b = -1

now substituting b = -1 and m = 3 in the slope-intercept form

y = mx+b

y = 3x + (-1)

y = 3x-1

Therefore, the equation best represents the line is:

  • y = 3x-1
5 0
3 years ago
Find the distance between each pair points (-5,3) , (-4,-5)?
tester [92]

The distance formula is d=√(x2-x1)² + (y2-y1)²

So... d =8.06226

Hope this helps

7 0
3 years ago
Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)
raketka [301]

Answer:

- 11x - 2

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 1 - 13x - 3 ← collect like terms

= - 11x - 2

3 0
3 years ago
Read 2 more answers
The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How
Luden [163]

Answer:

27 gallons

Step-by-step explanation:

Our equation is: \frac{2x}{9} +12 = \frac{2x}{3}

What do we need to find: x

We need to first find x, so lets find x first.

12 =  \frac{2x}{3}  -  \frac{2x}{9}

=> 12 = \frac{6x}{9} - \frac{2x}{9}

=> 12 = \frac{4x}{9}

=> x = 27

Lets go back to our equation.

\frac{2(27)}{9} +12 = \frac{2(27)}{3}

We are going to simplify this before solving this. We are going to get:\frac{54}{9} +12 = \frac{54}{3}

=> 18 = 18

Therefore, we found x and we checked that our x value is correct. Now, we need to find how many gallons can the container can hold.

\frac{3x}{3} = a                                                           [a = gallons can the container hold]

=> x = a

Basically that means the container can hold 27 gallons of water.

Please give me brainliest if this is helpful ;D

4 0
3 years ago
Read 2 more answers
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