The slope of the perpendicular line is -1/m.
it passes through the point (a,c) therefore:-
y - c = -1/m(x - a)
y = -1/m x + a/m + c answer
Parallel line:-
c = m(a) + b
b = c - ma
y = mx + c - ma Answer
First we need a point (x,y) : (A, 7)
<span>Now slope (from f'(A)) = 15 </span>
<span>Next, the equation (using point slope formula) </span>
<span>y - 7 = 15 (x -A) </span>
<span>y = 15 (x - A) + 7 </span>
<span>Now in the x spot we put 'A-.01' </span>
<span>y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85
hope this helps</span>
It's linear
If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)
The formula for linear functions is y=mx +b
In this case b is 7
M=7-5/0+1
M=2
Now you just write the function down, it would be
F(x) =2x + 7
<span>[x^2/36} + [y^2/9] = 1</span>
Answer:
sine 23 = x/21
Multiply both sides by 21
21 x sine 23 = x
Now, use a calculator and find the answer of the 21 times the sine of 23:
x = -17.7706284876