Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
Answer: Find the greatest common factor, and put in parentheses outside of the expression
Step-by-step explanation:
The greatest common factor is the largest number that all terms are divisible by. Here is an example: 4x+8y+12 In this example the greatest common factor is 4. So, first we divide the expression by 4 and put it in parentheses, giving us (x+2y+3). However, (x+2y+3) does not equal 4x+8y+12. We need to put the 4 we divided by in front of the parentheses, giving us 4(x+2y+3), which does equal 4x+8y+12. Hope this helps
Each domain of the points can only have one unique range
Which point doesn’t have multiply ranges for a x value?
Solution: A
Answer:
3rd and 5th one
Step-by-step explanation:
As we did in the previous problem, we need to remove the parenthesis using distributive property so as to be able to combine like terms.
The first paranthesis is positive, so nothing changes as we remove it:
8 j^3 + 9 j^2 + 6 j + 8 - (j^2 + 8)
before removing the second parenthesis, we realize it is preceded by the negative sign of the indicated subtraction. Then as we remove the parenthesis, we flip the signs of all terms inside it:
8 j^3 + 9 j^2 + 6 j + 8 - j^2 - 8
now we combine like terms + 8 and - 8, rendering a zero "0". and we also combine the terms that contain j^2 : 9 j^2 - j^2 = 8 j^2.
Therefore, our final expression becomes:
8 j^3 + 8 j^2 + 6 j
