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seropon [69]
3 years ago
12

Which expression is equivalent to the given expression? (-6ab)2

Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Answer:

B. 36a^2b^2

Step-by-step explanation:

1. Apply exponent rule: (-a)^n = a^n, if n is even

(-6ab)^2 = (6ab)^2

(6ab)^2

2. Apply exponent rule: (a × b)^n = a^nb^n

(6ab)^2 = 6^2a^2b^2

6^2a^2b^2

3. 6^2 = 36

36a^2b^2

In other words, your answer is B.

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7/8 x 1/4 =
7/32
7/32 would be the simplest form, unless they want a decimal.
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3 years ago
3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3
ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right

(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right

\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right

4 0
3 years ago
Angle BAC measures 56. What is the measure of angle BDC?
goldfiish [28.3K]

Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.

4 0
3 years ago
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Harrizon [31]

Answer:

14 1/4

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

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If f(x) = (x - 2) = x3 + 2x - 4 + 13<br> what is f(2)?
leva [86]

Answer:

f(2)=21

Step-by-step explanation:

f(2)=2^3+2*2-4+13=8+4-4+13=8+13=21

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3 years ago
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