Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
Answer:
Reflection over y-axis (-x,y)
Step-by-step explanation:
Reflection over y-axis (-x,y)
A (-2 , 4) , A'( 2,4)
<em>you can check the rest.</em>
Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
Answer:
1/3
Step-by-step explanation:
7-9=-2
2-8=-6
2/6 is 1/3 when simplified
