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igomit [66]
3 years ago
5

Find the center and radius of a circle if the segment between the points (-2, 10) and (-14, -6) is a diameter.

Mathematics
1 answer:
kaheart [24]3 years ago
7 0
The center can be found using the midpoint formula: M=[(x1+x2)/2], [(y1+y2)/2]. For us, that looks like this: M = [(-2-14)/2], [(10-6)/2] which gives us M = (-8, 2). Now you have your center. To find the radius, use that midpoint (or center) and an endpoint to find out the distance between them (use the distance formula for that). The distance between those 2 coordinates is 10. So your center is (-8,2) and your radius is 10
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Hannah went swimming after she woke up. It took Hannah 15 minutes to get ready to go swimming. She swam for 30 minutes and then
saul85 [17]

Find the total minutes:

15 + 30 + 25 + 35 = 105 minutes

This is equal to 1 hour and 45 minutes

Subtract 1 hour and 45 minutes from 9:30

She woke up at 7:45 am

4 0
3 years ago
1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
Scrat [10]

Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

 

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

 

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

 

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

 

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

8 0
3 years ago
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tresset_1 [31]

Answer:

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Step-by-step explanation:

combine like terms

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zhuklara [117]

Answer: The expression simplified is 14.9d+3.6h-17.

Step-by-step explanation:

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