Answer:
88cm^2
Step-by-step explanation:
Area of the rectangle: base x height
Area of parallelogram: base x height
Area of the shaded part: area of rectangle -area of parallelogram:
12x10-4x8=120-32=88
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
1.) 
2.) 
3.) 
4.) 
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
- When you move up, the number will be positive
. If you move down, the number will be negative 
. - If you move to the right, the number will be positive
. If you move to the left, the number will be negative 
.
