Answer:
A) y = 1/3x + 4
B) y = 1/2x - 9
Step-by-step explanation:
A) In order to find this, we must first solve the initial equation for y to get the slope.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.
y - y1 = m(x - x1)
y - 5 = 1/3(x - 3)
y - 5 = 1/3x - 1
y = 1/3x + 4
B) To find this line, we again have to find the slope of the initial equation by solving for y.
2x + y = -4
y = -2x - 4
Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.
y - y1 = m(x - x1)
y - - 8 = 1/2(x - 2)
y + 8 = 1/2x - 1
y = 1/2x - 9
Answer:
3 and 5
Step-by-step explanation:
use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.
Distribute the -4. Then combine like terms.
24 - 4(5y - 6z) + 3y - 7z =
= 24 - 20y + 24z + 3y - 7z
= - 20y + 3y + 24z - 7z + 24
= -17y + 17z + 24
The answer is 1.92 x 10^6
Answer:
12+35x3.14
Step-by-step explanation: