The answer is 76. 2(-3)=-6 -6(-6)=36. 5 times the absolute value of 8 is 40. 36+40=76
Answer:

As a decimal = 0.05 (nearest hundredth)
Step-by-step explanation:

First pick:

As the case is NOT replaced, second pick:

As the case is NOT replaced, third pick:

Therefore,

Answer as a decimal = 0.05 (nearest hundredth)
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).
First, we find the midpoint M using the midpoint formula:

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if
m and
n are the slopes of 2 parallel lines, then
mn=-1.
The slope of WX is

.
Thus, the slope n of the perpendicular line is

.
The equation of the line with slope

containing the point M(0, -1) is given by:




Answer: 5x-3y-3=0
Answer:
The equation is y= 0,65 x
If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately pays (y) is the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.
The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).
Step-by-step explanation:
The price without discount (or without the coupon) is x.
The price with discount (or with coupon) is y.
y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.