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salantis [7]
3 years ago
9

What is the equation of the circle if the endpoints of the diameter are (9,-4) and (-3,8)?

Mathematics
1 answer:
katovenus [111]3 years ago
8 0

Answer:

(x-3)² + (y+2)² = 72

Step-by-step explanation:

center is halfway between (9,-4) and (-3,8).

average of x-coordinates = (9-3)/2 = 3

average of y-coordinates = (-4+8)/2 = -2

center: (3,-2)

length of diameter = √[(9-(-3))²+(-4-8)²] = √288 = 12√2

radius = 6√2

(x-3)² + (y+2)² = (6√2)² = 72

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-3 1/3-5 2/3 - (-2 1/3)
Leni [432]

Answer:

-20/3

The exact form is -20/3

The decimal form is -6.6 repeating

The mixed number form is -6 2/3

Hope this helps!

<u><em>PLEASE, </em></u>consider brainliest. I only have 3 left and then my rank will go up.

8 0
3 years ago
Solve the following equation. Show your work.<br><br> 2(x-4) = 5(x+1)
baherus [9]
2x-8=5x+5
5x-2x=-8-5
3x=-13
x=-13/3,
or 
x=-4 1/3
4 0
4 years ago
Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2
xenn [34]

Answer:

(3, 2)

Step-by-step explanation:

3x-y=7

2x-2y=2

------------

y=3x-7

substitute this equation to 2x-2y=2

first, simplify 2x-2y=2 into x-y=1.

-----------------------------------------------------

x-(3x-7)=1

x-3x+7=1

-2x+7=1

-2x=1-7

-2x=-6

x=-6/-2=3

y=3(3)-7=9-7=2

Answer: x=3, y=2.

7 0
4 years ago
find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Inessa [10]

Answer:

y = 1/2x + 1

Step-by-step explanation:

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

8 0
3 years ago
A food truck operator is parked in a lot at the corner of two streets. She wants to be equidistant from both streets. Should she
alekssr [168]

Answer:

Angle bisector

Step-by-step explanation:

median isn't applicable in this case as the roads from the streets are inclined at an angle.

altitude refers to height which is also not applicable

The perpendicular bisector is the locust of points equidistant from two points,

in this question the street are not seen as points but as lines which forms an angle and the bisection of this angle forms a locus where she can park her car. If she parks her car anywhere on the angular bisector of the two streets, she would be at equal distance from both streets.

7 0
4 years ago
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