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4 years ago

Find the sum. (n+8)+(n−12) =

2 answers:

4 0

Your answer is:
2n-4

Step by step:
(n+8)+(n-12)
Rewrite and remove the parentheses

n+8+n-12
Calculate

Therefore your solution is:
2n-4

Andrej [43]4 years ago

4 0

n=2

Reorder terms:

(8+n)+(n-12)=0

Remover first parentheses :

8+n+(n-12)=0

Reorder (again):

8-12+n+n=0

Simplify:

-4+2n=0

Add 4 to both sides:

2n=4

Divide and you’re done!

n=2

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Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. What is the stand

vekshin1

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
vertex~(-3,4)\quad 
\begin{cases}
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\end{cases}\implies \stackrel{f(x)}{y}=a[x-(-3)]^2+4
\\\\\\
y=a(x+3)^2+4
\\\\\\
\textit{we also know that }(-1,0)\quad 
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3 years ago

Which of the following is a ray shown in the drawing?

slavikrds [6]

Answer:

So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer

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3 years ago

The measure of the angle's supplement is 60

Sever21 [200]

Answer:

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°

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3 years ago

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4 years ago

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Goshia [24]

Answer:

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Step-by-step explanation:

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3 years ago