<u>Given</u>:
Given that TUV is a right triangle with measure of ∠V=90°
The measure of ∠U = 55°, and the length of VT is 82 feet.
We need to determine the length of TU.
<u>Length of TU:</u>
The length of TU can be determined using the trigonometric ratio.
Thus, we have;
where , opp = VT and hyp = TU
Thus, we have;
Substituting the values, we have;
Simplifying, we have;
Thus, the length of TU is 100.1 feet.
Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :
Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Answer:
see below for a graph
Step-by-step explanation:
The equation is in slope-intercept form, so right away you know one point is the y-intercept: (0, -4).
Another point can be found using the slope, which is 3/2, to go 2 units to the right and 3 units up. (Slope = rise/run, so rise = 3 and run = 2 match the slope.)
