Answer:
The slope m of a line is one of the elements in the equation of a line when written in the "slope and intercept" form: y = mx+b.
Step-by-step explanation:
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Answer:
Step-by-step explanation:
Problem 2a
The total number of ways that he can deal with his room
is 3 * 2 * 3 = 18
Problem 2b
P(green, plaid, track) = 1/3*1/2*1/3 = 1/18
Problem 2C
The bedspread and the poster don't change. The word or in probability is a real stinker. In this case it means that there are 2 choices of paint color.
The only choice that won't work is if he chooses hospital white instead of green or blue. So he has a 2/3 chance of choosing one of the two colors he wants.
The probability then becomes P(bedspread,Poster, color) = 1/2 * 1/3 * 2/3 =
2/18
The two numbers must add up to 1. 1-0.54=0.46
