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ad-work [718]
3 years ago
12

Simplify -3d^8(-4d^-14). Assume d =/ 0​

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

\frac{12}{d^6}

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Which angles are corresponding angles?
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3 years ago
Solve.<br> y=x - 7<br> 5+2y=7
lesantik [10]

Answer:

\huge\boxed{x=8;\ y=1\to(8;\ 1)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}

\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}

8 0
3 years ago
Read 2 more answers
Find the slope of a line parallel to y=(2/5)x + (4/5)
Tcecarenko [31]

Answer:

So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:

y = mx+b

The slope will be m. Your question is written in the form. 2/5 = m.

The slope is 2/5

The y-intercept is 4/5

6 0
3 years ago
Read 2 more answers
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