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.
Your answer is 3 2/3 ; 11/3
You had to count the number of wholes, 3, then add the thirds which was 2/3. This is because the rectangle is cut into We the, but can be simplified tothirds. Now, in the diagram, 2 out of the 3 rows are colored meaning 2/3 are colired. Thus, 3 wholes are colored and 2/3 . When you add them, you get 3 2/3. To make it improper, simply multiple 3 by the denominator and add the numerator. 3×3+2=11. Oh the. whole thing over 3.
Answer:
Percentage change=140%
Step-by-step explanation:
The expression for the percentage change is as follows;
C={(F-I)/I}×100
where;
F=final quantity
I=initial quantity
C=percentage change
In our case;
C=unknown
F=24 gallons
I=10 gallons
replacing;
percentage change={(24-10)/10}×100
percentage change=(14/10)×100
percentage change=140%
Answer:
She used 87 minutes last month
Step-by-step explanation:
Step 1: Express the total monthly phone bill
The total monthly phone bill can be expressed as follows;
A=F+(R×M)
where;
A=total monthly phone bill
F=fixed income per month
R=additional rate per minute
M=total number of minutes
In our case;
A=$123.75
F=$102 per month
R=$0.25 per minute
M=m
replacing;
123.75=102+(0.25 of m)
123.75=102+(0.25×m)
123.75=102+0.25 m
123.75-102=0.25 m
0.25 m=21.75
m=21.75/0.25
m=87 minutes
She used 87 minutes last month