Multiply the constants. Multiply the variables according to the rules of exponents.
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Answer:
1. 8/3
2. 1/7
3. 1/12
4. 1/27
Step-by-step explanation:
1. 3/8 * m = 1
Multiply by 8/3
8/3 * 3/8 m = 1* 8/3
m = 8/3
2. 7 * m = 1
Divide by 7
7*m /7 = 1/7
m = 1/7
3. 3 ÷m = 36
Multiply by m
3 ÷m * m = 36*m
3 = 36*m
Divide by 36
3/36 = 36*m/26
1/12 = m
4. 4/9 ÷m = 12
Multiply by m
4/9 ÷m * m = 12*m
4/9 = 12*m
Multiply by 1/12
4/9 *1/12 = 12*m * 1/12
4/12 *1/9 = m
1/3*1/9 =m
1/27
Answer:
40 yd^2
Step-by-step explanation:
Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).
