The answer is A hope this would help you
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
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:1 1/15
Step-by-step explanation:2 2/3 minus 1 9/15 is 1 /15 because I said so.