X^2 + 9x -10 = (x -1)(x +10) = (x +(-1)) (x + 10)
p = -1 and q = 10
answer is A.
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
Step-by-step explanation:
1:4
1:2
5:1
Answer:
Step-by-step explanation:
The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.
For example:
Find the slope of the line joining the points (3, 5) and (-2, 1)
The slope = (5 - 1) / (3 - (-2))
= 4/(3+2)
= 4/5.
NOTE:
You would get the same result if you reversed the values
- that is (1 - 5)/(-2 - 3
= -4/-5
= 4/5.
The important thing to remember is to use <em>corresponding </em>values in the calculation.
