Answer:
The coordinates of point B are: (29,-15)
Option D is correct option.
Step-by-step explanation:
Endpoint of diameter of a circle = A(5,7)
Centre of circle = P(17,-4)
We need to find coordinates of other endpoint of diameter of a circle i.e. B
The formula used is: ![Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=Midpoint%3D%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
We are given coordinates of centre (midpoint) P(17,-4)
and A (5,7) x₁=5, y₁=7
We need to find Point B i.e. (x₂,y₂)
Putting values and finding point B
![Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15](https://tex.z-dn.net/?f=Midpoint%3D%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29%5C%5C%2817%2C-4%29%3D%28%5Cfrac%7B5%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7B7%2By_2%7D%7B2%7D%29%5C%5CWe%5C%3Acan%5C%3Awrite%3A%5C%5C17%3D%5Cfrac%7B5%2Bx_2%7D%7B2%7D%5C%3Aand%5C%3A%20-4%3D%5Cfrac%7B7%2By_2%7D%7B2%7D%5C%5C17%5Ctimes%202%3D5%2Bx_2%5C%3Aand%5C%3A%20-4%5Ctimes%202%3D7%2By_2%5C%5C34%3D5%2Bx_2%5C%3Aand%5C%3A%20-8%3D7%2By_2%5C%5C34-5%3Dx_2%5C%3Aand%5C%3A%20-8-7%3Dy_2%5C%5Cx_2%3D29%5C%3Aand%5C%3A%20y_2%3D-15)
so, we get: x₂ = 29 ,y₂ = -15
The coordinates of point B are: (29,-15)
Option D is correct option.
Answer:
<u><em>(5/2, 7/2)</em></u>
Step-by-step explanation:
<u><em>(-2,4) , (x2 , y2)=(7,3)</em></u>
<u><em>=(7-2, 3+4)</em></u>
<u><em> 2 2</em></u>
<u><em>=(5/2, 7/2)</em></u>
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6
The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so
y = (x - 2)(x - 6) ← expand using Foil
y = x² - 8x + 12 → B
Answer:
44 minutes
Step-by-step explanation:
25.00-21.48=3.52
this means she used $3.52
which is 352 cents.
Each minute is 8 cents so 352/8 = 44