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Vanyuwa [196]
3 years ago
14

PLEASE SOLVE I DESPERATELY NEED HELP!!! Solve the system of equations by graphing.

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:

The steps will be :

1. Draw both equations into the graph.

2. Look for the coordinates where they intersect(curve and line crosses each other). So the coordinates will be (-2,0) and (3,5).

3. The x-value of the coordinates will the solution to the equations.

4. Therefore, the answer will be -2 and 3.

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Xelga [282]

Answer:

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

Step-by-step explanation:

We want to prove algebraically that:

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We use the relations

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

and

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

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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

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

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