She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
Answer:
4
Step-by-step explanation:
We'll begin by calculating the slope of the equation. This is illustrated below:
y = 4/3x + 1
Comparing the above equation with:
y = mx + c
The slope (m) of line is 4/3.
Next, we shall determine the slope of the equation perpendicular to:
y = 4/3x + 1
This is illustrated below:
When two lines are perpendicular, their slope are related as:
m2 = – 1/m1
From the above, m1 = 4/3
m2 = –1 ÷ 4/3
m2 = –1 × 3/4
m2 = – 3/4
Next, we shall determine the equation passing through (4, 1). This is illustrated below:
y – y1 = m(x – x1)
y1 = 1
x1 = 4
m = – 3/4
y – y1 = m(x – x1)
y – 1 = –3/4 (x – 4)
y – 1 = –3/4x + 3
y = –3/4x + 3 + 1
y = –3/4x + 4
Comparing:
y = –3/4x + 4 with y = mx + c
The y-intercept, c is 4.
Answer:
p = 1.2
Step-by-step explanation:
Bring 3.9 to the other side of the equation.
-10.9p = -13.08
p = 1.2
Answer:
y=1/4x-2
Step-by-step explanation:
y=4x+8
INV
x=4y+8
(x-8)/4=y
y=1/4x-2