Answer:
Scale factor = 1.82 units.
Step-by-step explanation:
We have been given that side length OQ of our prei-mage is 9.4 units and side length OQ' after dilation is 17.1 units. Since our pre-image (original image) is smaller than our new image, so our scale factor (r) will be greater than 1.
Since we know that in a dilation, the sides of the pre-image and the corresponding sides of the image are proportional, so we will use proportion to find a scale factor our given side lengths as:
Upon multiplying both sides of our equation by OQ we will get,
Upon rounding our answer to nearest hundredths place we will get,
Since side length OQ' is 1.82 times side length OQ, therefore, our scale factor (r) will be 1.82 units.
Answer:
Step-by-step explanation:
Hello,
Imaginary term must be the same so
-2ab=-12
2ab = 12
ab = 12/2 = 6
So the product of a and b is 6
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
80 cm²
Step-by-step explanation:
Let's break down the composite shape into two parts. (Image attached)
- Let "a" represent the area of the smaller square.
- Let "b" represent the area of the bigger square
⇒ The side length of "a" is 4 cm.
⇒ The side length of "b" is 8 cm.
First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (4)² = Area of "a"
⇒ (4)(4) = Area of "a"
⇒ 16 cm² = Area of "a"
Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (8)² = Area of "b"
⇒ (8)(8) = Area of "b"
⇒ 64 cm² = Area of "b"
Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.
⇒ Area of composite shape = Area of "a" + Area of "b"
⇒ Area of composite shape = 16 + 64
⇒ Area of composite shape = 80 cm²
(x^2-y^2)+(2x+2y)= (x+y).(x-y) +2.(x+y) = (x+y).(x-y+2)
