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Marizza181 [45]
3 years ago
13

PLEASE HELP! ASAP

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Her dad = 36

Sarah = 5

After 31 years sarah = 36

And her dad = 67

Answered by Gauthmath must click thanks and mark brainliest

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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>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:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

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:

brainly.com/question/17206319

#SPJ1

5 0
2 years ago
A recipe that makes 8 servings calls for 3/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of fl
Blababa [14]
8 goes with 3/5: 10 goes with n     (n being the number of cups)

\frac{8}{3/5}  =  \frac{10}{n}

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.
8 0
3 years ago
A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Vilka [71]

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

a^{2} +b^{2} =c^{2}

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

a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}

We know that c is 14 so

2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999

5 0
2 years ago
Solve the problem attached in the image
EleoNora [17]

Answer:

no te entiendo

yo también la busco

4 0
3 years ago
Read 2 more answers
Find the circumference of the circle. Use 3.14 for pi
IgorLugansk [536]

Answer:

The circumfrence is 14

Step-by-step explanation:

6 0
3 years ago
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