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dybincka [34]
3 years ago
12

Simplify. Remove all perfect squares from inside the square root.

"TexFormula1" title="\sqrt{63}" alt="\sqrt{63}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

3 \sqrt{7}

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

\sqrt{3 \times 3 \times 7}

2) Group the same prime factors into pairs.

\sqrt{(3 \times 3) \times 7}

3) Rewrite each pair in exponent form.

\sqrt{ {3}^{2} \times 7 }

3) Use this rule

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

3 \sqrt{7}

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Based upon the answer choices, the answer is A;

A Straight line passing through the origin.

I hope this answer has assisted you.


3 0
3 years ago
Read 2 more answers
Will give crown will post more
marta [7]

Answer:

2, 7, 27, 42

Step-by-step explanation:

y = 5*1 -3 =2

y = 5*2 -3 =7

y = 5*6 -3 = 27

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4 0
2 years ago
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5. Graph the given system of linear inequalities on the coordinate plane below. (2 points)sy <-3x - 4< 21-15NA11 2 3 4 5 6
xxTIMURxx [149]

ANSWERS

(5) Graph:

(6) Solutions: (-1, -5) and (-2, -7)

Not solutions: (1, 1) and (-4, -3)

EXPLANATION

(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.

The first inequality is y < -3x-4,

The second inequality is y < 2x - 1,

The graph of the system is the area shared by both graphs,

(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.

On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions

8 0
1 year ago
Rearrange the equation a=1/4b to make b the subject
Ivanshal [37]

Answer:

b=4a

Step-by-step explanation:

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