Answer:
Half of the base multiple by the height
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Answer:
10 ft by 12 ft
Step-by-step explanation:
This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.
48 = x * (x+2)
This represents the area of the doghouse as the product of the width and length of the doghouse.
48 = x^2 + 2x
Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.
0 = x^2 + 2x - 48
Now, we factor to find what x equals.
0 = (x-6) * (x+8)
From here, we can use each of the terms in parentheses to solve for x.
0 = x-6
x = 6
0 = x+8
0 = -8
Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.
Answer:
1 11/24
Step-by-step explanation:
30/48+40/48=70/48=1 11/24
Answer:
Your answer is 24.
Step-by-step explanation:
The data set is 22,23,23,23,24,24,25,26,26,26,28
The median of this set is 24
The mean is 24.54
The mode is 23,26
The range is 6
