Answer:
Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)
Step-by-step explanation:
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
we know that
Vertical angles are congruent angles
that means
substitute the given values
(7x – 27)=(3x + 29)
solve for x
7x-3x=29+27
4x=56
x=14
part b)
We know that
Supplementary angles are angles that their sum is equal to 180 degrees
so
A+B=180
substitute the given values
5x+25+x+17=180
solve for x
6x+42=180
6x=180-42
6x=138
x=23
Find the measure of Angle A
