If the scale factor is 5, how many times larger will the scaled copy's area be?
1 answer:
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor =
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor =
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
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Answer:
The values of a and b are:
- a = 2
- b = 2
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
- a is the slope
- b is the y-intercept
From the diagram of the line graph, we can fetch the two points
- (0, 2)
- (-1, 0)
Determining the slope between (0, 2) and (-1, 0)
Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
- a = 2
- b = 2