Answer:
x-values
independent variable
Step-by-step explanation:
x (the independent variable) is the domain
y (the dependent variable) is the range
Answer: 153
Step-by-step explanation:
area of rectangle= 16 x 3= 48
area of trapezium= 1/2(a+b)h
=1/2(16+5)x 10
=105
105+48= <u>153 in^2</u>
Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer:
They're not parallel, because 4x and 12x are not the same slope
Answer:
The correct answer would be -2x + y = -10
Step-by-step explanation:
To do this, start with point-slope form and input the known values.
y - y1 = m(x - x1)
y + 2 = 2(x - 4)
Now distribute and solve for the constant.
y + 2 = 2(x - 4)
y + 2 = 2x - 8
-2x + y + 2 = -8
-2x + y = -10
