Answer:
B
Step-by-step explanation:
the slope of a line is a measure of its rate of change
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
calculate the slope of the function represented in the table using the slope formula
m =
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = =
=
the y- intercept is on the y- axis where x = 0
from the table the point (0, - 4 ) has x = 0 , then c = - 4
Thus the 2 functions have the same y- intercepts but different rates of change , that is option B
Answer:
45.8
Step-by-step explanation:
We need to find the surface area for this entire figure!
We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.
The 3 triangles building up the pyramid are all equal to each other.
To find the area of a triangle, use
Round to the nearest tenth: 45.75 -> 45.8
Answer:
2.3 degrees.
Step-by-step explanation:
Please find the attachment.
We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.
Let us convert 500 yards to feet.
1 yard= 3 feet.
500 yards= 3*500 feet= 1500 feet.
We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.
Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.
Therefore, the airplane must ascend 2.3 degrees to clear the pole.
