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arsen [322]
3 years ago
14

Write this algebraic expression in words 5(n-4)+7

Mathematics
2 answers:
OLEGan [10]3 years ago
8 0

Answer:

Five times the difference of n and four plus seven

Step-by-step explanation:

Five times the difference of n and four plus seven

ZanzabumX [31]3 years ago
7 0

Answer:

five multiplied by the difference of N and four plus seven

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Determine which lines are parallel
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Step-by-step explanation:

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Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
What is the value for the missing angle ??
allsm [11]
Answer: 9 inches.
Do the pythagorean theorem to find your answer.
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12 = b
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a^2 + 12^2 = 15^2
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a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
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