Answer:
y = 3/2 x - 11
Step-by-step explanation:
y = -2/3 x + 5; slope = -2/3
Perpendicular line, slope is reciprocal and opposite so slope of the line that is perpendicular to the y = -2/3 x + 5 is 3/2
Passes through (8,1)
Equation
y -1 = 3/2 (x - 8)
y - 1 = 3/2 x - 12
y = 3/2 x - 11
Answer:
-4 - 17x
Step-by-step explanation:
Anything enclosed in parentheses must be done first if possible. (3x + 2) is inside two sets of parentheses, but nothing can be done with 3x + 2.
Multiplication must be done next. [6(3x+2)-x] becomes 18x + 12 - x, or
17x + 12.
Now we have 4 - 17x - 12 + 4. Combining like terms through addition and subtraction, we get 4 - 12 + 4 - 17x, or -4 - 17x.
Answer:
x = 27
Step-by-step explanation:
Length = 6x
Width = 1/3(6x) = 2x
Height = 1/2(6x) = 3x
6x × 2x × 3x = 36
972/36x = 27
x = 27
Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
