Answer:
Answer E. is correct
Step-by-step explanation:
b = 3 * c --> c = 1/3 * b
c + 3 = 1/3 * b + 3 --> E.
Answer:
The slope of the linear equation will be 60 and the point on the line will be (6,1250).
R - 1250 = 60(y - 6)
Step-by-step explanation:
An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.
Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).
Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be
R - 1250 = 60(y - 6) (Answer)
Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
Answer:
#7: Vertex is (2,-6)
y-intercept is (0,6)
#8: Vertex is (-2,-29)
y-intercept is (0,-9)
#9: Vertex is (-1,1)
y-intercept is (0,-5)
#10: Vertex is (2,20)
y-intercept is (0,-8)
Step-by-step explanation:
Graphs are in the picture below
Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.