All categories

2 years ago

A roadside assistance company gets millions of requests per year, with about a quarter of the requests in

Mathematics

1 answer:

lana [24]2 years ago

3 0

300 a summer plz I think

You might be interested in

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

1 year ago

What statement about dilation and rotation is true

sergiy2304 [10]

Rotation turns dilation shrinks

5 0

2 years ago

Solve using the elimination method. 5r-2s=21 & 2r+5s=20

cestrela7 [59]

I hope this is correct. I solved it using the addition elimination method. The answer is s= 2, and r= 5. I hope that was helpful.

5 0

2 years ago

Here’s a polygon:

kozerog [31]

Answer

IJKL & EFGH

<h3>Step-by-step explanation:</h3><h3>IJKL & EFGH are similar because they are the same.</h3>

7 0

2 years ago

Special right triangles 45-45-90 & 30-60-90 formula!!<br> finding missing side lengths

nordsb [41]

The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.

When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck

4 0

2 years ago