set 2x-3 equal to 0 and solve for x
x=3/2
set x+5 equal to 0 and solve for x
x=-5
the solution is the result of 2x-3=0 and x+5=0
x=3/2,-5
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Answer: adjacent and complimentary
Step-by-step explanation:
adjacent because they are next to each other and complimentary because they together make 90 degrees
Answer: 84 ft^2
Step-by-step explanation:
The whole prism can be divided into 5 surfaces.
Two triangles and 3 rectangles.
Find the area of each of the 5 shapes and add them together.
The triangle has a base of 4 and a height of 3.
Area of triangle 1: A= 4*3 * 1/2
A = 6
Area of triangle 2: A = 4*3 * 1/2
A = 6
Area of rectangle 1 : A= 4*6
A = 24
Area of rectangle 2; A = 3*6
A = 18
Area of rectangle 3: A= 5 *6
A = 30
Now add the areas together
6 + 6 + 24 + 18 + 30 + = 84 ft^2
Answer:
Step-by-step explanation:
We have the compound inequality:
Let's solve each of them individually first:
We have:
Divide both sides by 2:
Add 1 to both sides:
We have:
Subtract from both sides:
Divide both sides by -4:
Hence, our solution set is:
Answer:
30.3m^2
Step-by-step explanation:
I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.
Next I broke apart the the shape into a rectangle and a triangle for simplicity sake. So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.
The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.
Finally you add up all three area's that you found 8+16+6.3=30.3
