Answer:
The distance is 32
Step-by-step explanation:
One way is to subtract -12 and 20, which equals 32.
Another way is to add 12 and 20 since distance on a number line is always positive, which equals 32.
Answer:
z=3
Step-by-step explanation:
4(z+6)-11=25
add 11 to both sides
4(z+6)-11+11=25+11
simplify
4(z+6)=36
divide each side by 4
(4(z+6))/4=36/4
Simplify
z+6=9
subtract 6 from each side
z+6-6=9-6
simplify
z=3
Answer: I have the pictures attached
Step-by-step explanation:
In order to graph this, we have to get it into this equation: y = mx + b, where m = slope and b = y intercept.
y = 3/2x - 4 is already in this form.
2y + 4 = 2 + 3x is not, so we have to isolate y
2y + 4 - 4 = 2 + 3x - 4
2y = -2 + 3x
2y/2 = -2/2 + 3x/2
y = -1 + 3/2x
y = 3/2x - 1
Okay, now graph it knowing your y intercepts and your slopes.
First solve for theta in 'x' equation:

Substitute into 'y' equation:

Simplify by rewriting cos in terms of sine.
Using pythagorean identity:


Simplify using inverse function property:
