Well D=8.5C so divide 68 by 8.5 (answer is 8)
32, i believe is the answer
1)421x=6
x=70
2)x+6(6x)=420
x+36x=420
37x=420
x=11
3)x-6x=420
5x=420
x=84
4)x+6x=420
7x=420
x=60
ANSWER
9.5
EXPLANATION
To find the distance between home and work, we have to use the formula:
![D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have that home is at point (3, -3) and work is at point (0, 6).
Therefore:
(x1, y1) = (3, -3)
(x2, y2) = (0, 6)
Therefore, we have that:
![\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%280-3%29%5E2%2B%286-%28-3%29%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%286%2B3%29%5E2%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%289%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B9%5Ctext%7B%20%2B%2081%7D%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B90%7D%20%5C%5C%20D%5Ctext%7B%20%3D%209.5%7D%20%5Cend%7Bgathered%7D)
The answer is 9.5
Answer:
The found values are:
A = 1/3
B = -8/3
Step-by-step explanation:
We know that general equation is given by:
y = mx + c
where m is the slope and c is a constant.
x + 3y = -5
y = -(1/3)x - 1/3(5)
Slop of the equation is -(1/3). As parallel line have same slope, substitute it in the first equation:
Ax + By = 3
By = -Ax - 3
By = (1/3)x - 3
Hence, A = 1/3
Substitute point (-7,2) into the equation:
B(2) = (1/3)(-7) -3
B(2) = -7/3 - 3
B(2) = -16/3
B = -16/6
B = -8/3
