Given:
The equation of line p is

Line p and q are parallel.
To find:
The equation of line q.
Solution:
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
The equation of line p is

The slope of the line is
.
We know that the slopes of parallel lines are equal.
Line p and q are parallel. So,
Slope of line q = 
Line q passes through (6,-4) with slope
, so the equation of the line is

Where, m is the slope.




Therefore, the equation of line q is
.
Answer:
The second ramp needs to have 25°.
Step-by-step explanation:
Required ramp angle for driving the car from the ground = 35°.
First ramp angle = 15°
Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°
The 20° ramp angle will make the total ramp angle to be equal to 35°.
That is 15° + 20° = 35°
Answer:
ok
Step-by-step explanation:
Answer:
q = log4 / log0.53
q = -2.189
Step-by-step explanation:
(0.53)^q = 4
Taking log of both sides!
q log 0.53 = log 4
q = log 4 / log 0.53
q = 0.602 / -0.275
q = - 2.189
This can be checked to confirm correctness.
Substituting q = -2.189
(0.53)^ -2.189 = 1/ 0.249
= 4.01 Proved!
(Note that the "1" is because of the negative sign)
Perimeter is legnth +legnth + width + width or
P=2L+2W
L=2W
subsitute L=2W for L in P=2L+2W
P=2(2W)+2W
P=4W+2W
P=6W
we know that Perimiter=30 so
30=6W
divide both sides by 6
5=Width
subsitute W=5 for W in L=2W
L=2(5)
L=10
to check
10=2(10)+2(5)
30=20+10
30=30
checks
Legnght=10
Width=5