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vlabodo [156]
3 years ago
5

If the endpoints of the diameter of a circle are (−8, 0) and (−12, 2), what is the standard form equation of the circle?

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0
A(-8,0)  B(-12,12)the center is w((-8-12)/2 , (0+12)/2)....(midel [ AB]w(-10 ,6)the ridus is : r = AB/2AB = √(-12+8)²+(12-0)² = √16+144 =√160/2an equation in standard form equation of the circle :(x+10)²+(y-6)² =  (√160/2)²=160/4 = 40

madreJ [45]3 years ago
7 0
The midpoint of a diameter is the centre of the circle.

The centre is important for finding the equation.

Midpoint = (-10, 1)

The radius is also important

I will include it in the image

Equation of circle (x +10)^2 + (y -2)^2 = 5

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I need help with 1-3 i don’t understand that problems and its already over due
Nina [5.8K]

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40).  That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95).  That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

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The maximum width is 22 feet.

7 0
3 years ago
Can someone tell me the answer to this plz
Tpy6a [65]
M8 =43.
Reason:
134+ M8 =180(degrees). This is because angles on a straight line =180 (degrees)

180-134=M8
Therefore:
M<8 =180-134= 43 (degrees)

Hope this helps and makes sense.

Please mark as a brainliest (crowns)
4 0
2 years ago
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Oksana_A [137]

Answer:

y=0 when x=-1

Step-by-step explanation:

We look at the chart to see that there is a value for y when x equals negative 1.

According to the chart, y equals 0 when x=-1.

Therefore, the answer is 0.

4 0
3 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

Sum of a number can be written as x or in this case as b because it is an unknown number.

b is multipled by 8 so 8b

"and 27" indicates an addition so therefore, 8b + 27

"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.

However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.

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6 0
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3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha
agasfer [191]

Answer:

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