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Allushta [10]
2 years ago
10

Please show me how you got this answer

mula1" title="\sqrt{18a^2}*4\sqrt{3a^2}" alt="\sqrt{18a^2}*4\sqrt{3a^2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Kryger [21]2 years ago
5 0

Answer:

Step-by-step explanation:

Comment

18 factors into 2 * 3 * 3

Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.

The same rule applies to the two 3s that factor 18.

What you get is

3a√2 * 4*a*√3

Answer 12a^2 √2 * √3

Answer: 12a^2 * √6

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4 0
2 years ago
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What value for C will make the expression a perfect square trinomial x2-7x+c
Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

(x-a)^{2}=x^{2}-2ax+a^{2}

In this problem we have

x^{2}-7x+c

so

equate the equations

x^{2}-7x+c=x^{2}-2ax+a^{2}

we have

the following equations

-7x=-2ax -----> equation A

and

c=a^{2} -----> equation B

<u>Solve the equation A</u>

-7x=-2ax

7=2a

a=3.5

<u>Solve the equation B</u>

c=a^{2}

c=3.5^{2}=12.25

therefore

(x-3.5)^{2}=x^{2}-7x+12.25

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7 0
3 years ago
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Solve the system of linear equations by elimination 2x+7y=1 2x-4y=12
pishuonlain [190]

\left\{\begin{array}{ccc}2x+7y=1\\2x-4y=12&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+7y=1\\-2x+4y=-12\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad11y=-11\qquad\text{divide both sides by 11}\\.\qquad\qquad \boxed{y=-1}\\\\\text{Put the value of y to the first equation:}\\\\2x+7(-1)=1\\2x-7=1\qquad\text{add 7 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\Answer:\ \boxed{x=4\ and\ y=-1\to(4,\ -1)}

3 0
4 years ago
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