Suppose we let 
, so that 
.
Also, recall the double angle identity for cosine:
So, we can rewrite and compute the integral using the substitution, as
For number 19:
"at least 150" means either 150 ≤ ? or ? ≥ 150
plus 3 so +3x
The answer would be 150 ≤ 100 + 3x
Number 20:
A is at -2.5. The inverse is the opposite so 2.5
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.
Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4
Hope this Helps! :)
Right triangle because a2<span> + b</span>2<span> = c</span><span>2</span>
Answer:
An expression that represents repeated multiplication of the same factor is called a power.
Step-by-step explanation:
The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
