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marshall27 [118]
3 years ago
6

Lol pls help... only 10.2

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

3) (0,-4) (4,0) (0,4) (-4,0) 4) (-2.5, 2.5) (5.5) (5.-3)

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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
The equation of a line is 8x+2y=10. Calculate the slope of the line.
emmainna [20.7K]

Answer:

that is the solution to the question

6 0
4 years ago
636 rounded to the nearest ten and hundred
PSYCHO15rus [73]
600 hope this helps




....
6 0
3 years ago
Read 2 more answers
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7 0
3 years ago
The price of a gym membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 10x + 1
monitta
15; it represents the one-time sign-up fee

The y-intercept can be found either on the graph where the line intercepts the y-axis, or b in the equation y=mx+b.

It represents the fee because it will be charged even if the number of months (x) is zero. 10 is the monthly fee because it is multiplied by x, the number of months.
8 0
3 years ago
Read 2 more answers
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