Answer:
The slope is -2/9
Step-by-step explanation:
9y + 2x = 54
Solve for y to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
9y + 2x -2x = -2x+54
9y = -2x+54
Divide by 9
9y/9 = -2x/9 + 54/9
y = -2/9 x +6
The slope is -2/9
Parallel lines have the same slope
Answer:
53
Step-by-step explanation:
4ft x 12 = 48 in
48 in+ 5 in= 53
Answer:
12
+ 29x - 14
Step-by-step explanation:
(3x+2)(4x-7)
Multiply out 3x first then 2
(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)
12
- (- 21x) + 8x + ( -14)
12
+ 21x + 8x - 14 Combine like terms
12
+ 29x - 14
-4 (2x - 3) > -28
Divide by -4 on both sides. Since we're dividing by a negative, we need to switch the sign.
2x - 3 < 7
Add 3 to both sides
2x < 10
Divide by 2 on both sides
x < 5
Answer:
Area of the dilation = 10.8 square inches
Step-by-step explanation:
Given the original dimension
Length = 12inches
Width = 10inches
If they are dilated by a factor of 0.3
New length = 0.3 * 12 = 3.6in
New width = 0.3 * 10 = 3in
Area of the dilation = 3.6 * 3
Area of the dilation = 10.8 square inches