Answer:
The answer to your question is: y = -2/3 x + 18
Step-by-step explanation:
Data
Point = (-9, 12)
line y = 3/2x -1/2 perpendicular
Process
The line must be perpendicular to the line given. Then,
slope is the line given = 3/2, we change it because the lines must be perpendicular ,
New slope M = -2/3
New line y-y1 = m(x - x1)
y - 12 = -2/3 (x + 9) Substitution
3( y - 12) = -2(x + 9)
3y - 36 = -2x - 18 Simplify
3y = -2x - 18 + 36
3y = -2x + 18
y = -2/3 x+ 18 Result
Answer:
y = 312x + 2
Step-by-step explanation:
According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).
(x, y)
(0, 2) ---> y-intercept (b)
Now that we have found the y-intercept, we will now find the slope by using its formula.
Slope formula:-
m = y2 - y1 / x2 - x1
Pick two random (x, y). I will pick the first and last pairs.
(0, 2) and (4, 1250)
Now plug these two pairs in the formula.
m = y2 - y1 / x2 - x1
m = 1250 - 2 / 4 - 0
m = 1248 / 4
m = 312
This means that the slope (m) is 312. Now put that in y = mx + b form.
y = mx + b
y = 312x + 2
Both of the forms are the same. Hope this helps, thank you :) !!
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
If period of

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To find the period of sine function

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