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Sholpan [36]
3 years ago
14

Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

(x+1)^2+(y-1)^2=53

Step-by-step explanation:

The standard form for the equation of a circle is (x-h)^2+(y-k)^2=r^2, where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is:

\sqrt{(1-(-1))^2+(1-(-6))^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}

Therefore, the equation of this circle is:

(x+1)^2+(y-1)^2=53

Hope this helps!

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(1/8 + 3/12) x (1 1/6-1/2)
aivan3 [116]

Answer:

1/2

Step-by-step explanation:

(1/8+3/12)×(11/6-1/2)

Using bodmas

Deal with the bracket first and it should start with the addition

1/8+3/12

Lcm of the two is 96

12+24/96

=36/96

Then move to the next bracket

11/6-1/2

Lcm is 6

11-3/6

=8/6

Bring the two answers together

36/96×8/6

=1/2

5 0
3 years ago
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Shtirlitz [24]

Answer:

180-140=50 180-90-50= 40 m=40

3 0
2 years ago
Step by step factoring: x^2-11xy+30y^2
oee [108]
Do you need it explained or just the answer

5 0
3 years ago
In Ms. Dole's class, students received grades of 87, 72, 99, 93, and 84 on yesterday's quiz. What was the mean of the quiz grade
Naddika [18.5K]
Hello!

The mean is the average of the numbers

To find the average you add them all up and divide the sum by the amount of numbers added

87 + 72 + 99 + 93 + 84 = 435

Divide the sum by the amount of numbers added

435 / 5 = 87

The answer is 87

Hope this helps!
4 0
3 years ago
Read 2 more answers
Joseph's uncle wants to put shingles on the outside walls and solar panel the roof of his barn shown at the right. It costs $2.5
sp2606 [1]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the measurement of the roof is 5 m by 9 m on  both sides. Hence:

Area of roof = 2 (5 * 9) = 90 m²

Since solar panels cost $4.00 per square meter, therefore:

Cost of solar panels = $4.00 per square meter * 90 m² = $360

The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²

The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²

Area of each side wall of barn = 9 m * 7 m = 63 m²

Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²

Cost of shingles = $2.50 for each square meter * 246 m² = $615

Total cost of project = $615 + $360 = $975

5 0
3 years ago
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