Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract 
both sides
Divide by 
both sides
the slope of the given line is
Step 2
Find the equation of the line that passes through the point 
and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
we have
substitute in the equation
or 
therefore
<u>the answer is</u>
or
Answer:15 meters higher
Step-by-step explanation: 30-30+15
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18
Answer:
As the slope is -2, so the rate of change of the function is:
- rate of change of function = -2
Step-by-step explanation:
The slope is basically the rate of change of a function.
Let us take the two points from the graph
Taking the slope between two points to determine the rate of change of a function
As the slope is -2, so the rate of change of the function is:
- rate of change of function = -2
The intersection of the parabola with the x-axis is the solution of this equation. Accordingly, if the parabola does not intersect with the x-axis, there will be no solutions
Answer: C
