Answer:
b = 58
Step-by-step explanation:
Complementary angles add to 90 degrees.
a+b = 90
32+b = 90
Subtract 32 from each side
32+b-32 = 90-32
b = 58
Answer:
refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Answer:
1/5 is the fraction of 20%.
Answer:
A) 
B) 
Step-by-step explanation:
A)
So we have the integral:
First, remove the constant multiple:
Use the power rule, where:
Therefore:
Simplify:
And multiply:
And, finally, plus C:
B)
We have the integral:
To solve, we can use u-substitute.
Let u equal 5-x. Then:
So:
Move the negative outside:
Power rule:
Add:
Substitute back 5-x:
Constant of integration:
And we're done!
Answer:
a) Line M
b)Line M
c)y=1/2x+2
Step-by-step explanation:
a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)
b) Line M has a greater slope since its line is steeper
c) Use the formula y=mx+b
Use the points ( 0,1) and (-4,-1)
m(slope)= y2-y1/x2-x1
m= (-1-1)/(-4-0)
m=-2/-4
m=1/2
substitute
(0)=1/2(-4)+b
2=b(y-intercept)
y=1/2x+2
