The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
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How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
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8 goes with 3/5: 10 goes with n (n being the number of cups)

Use cross products and we get 8n = 6
Now divide by 8
<u>8n</u> = <u>6
</u><u />8 8
n= 6/8 or 3/4 of a cup of flour.
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually

since we know a and b are the same length (sides of a square are congruent) we would have

We know that c is 14 so

Answer:
The circumfrence is 14
Step-by-step explanation: