Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
The numbers 8, 15, 17 are a Pythagorean Triple, so we know the radius of the circle is 17. Filling in the given information in the standard equation of a circle, we get ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
(x +8)^2 +(y -15)^2 = 289 . . . . . circle with center (-8, 15) and radius 17
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Once you have identified the center (h, k)=(-8, 15) and a point you want the circle to go through (x, y)=(0, 0), evaluate the equation for the circle to find the square of the radius:
(0 +8)^2 +(0 -15)^2 = r^2 = 64+225 = 289
Answer:
Number 3 is C. 6.3
Step-by-step explanation:
Answer:
The x-coordinate of Q is 5
Step-by-step explanation:
* Lets revise the division of the line segment
- If point (x , y) divides a line segment internally whose endpoints are
(x1 , y1) and (x2 , y2) at the ratio m1 : m2 from (x1 , y1), then:
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* Lets solve the problem
∵ Point R divides PQ in the ratio 1 : 3
∴ R is (x , y)
∴ P is (x1 , y1) and Q is (x2 , y2)
∴ m1 = 1 and m2 = 3
∵ x-coordinate of R is -1 and the x-coordinate of P is -3
∴ x = -1
∴ x1 = -3
- Use the rule above
∵
- By cross multiplication
∴ (-1) (4) = -9 + x2
∴ -4 = -9 + x2 ⇒ add 9 to both sides
∴ 5 = x2
* The x-coordinate of Q is 5
Answer:
96.97$ increase 17731.97 new price
Step-by-step explanation: