<h2>
Answer:</h2>
First we must find the opposite-reciprocal of the original slope.
current slope: 
new slope: 
Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.
The y-intercept is 
.
Now, we can write the formula for the new line.
Slope-intercept form: 
Point-slope form: 
F(x) = x - 2sinx
To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.
1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi and
x = -pi/3 + 2*n*pi
Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
13. You add the 8 and the 5
Well first you substitute -3 for y and then subtract 12 from both sides of the equation and it should look like -15=-3x. Then divide 3 on both sides and you should end up getting 5=x.
Answer:
B x = sqrt(41)
Step-by-step explanation:
Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.
The base of each smaller right triangle is 4 units long (8/2 = 4).
The vertical leg is 5.
Use the Pythagorean theorem to find x.
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
16 + 25 = x^2
x^2 = 41
x = sqrt(41)
Answer: B x = sqrt(41)
