Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere = , where r is the radius.
Then,
Hence, the maximum radius of the basketball that the designer can create is 3.7 in.
Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
Given
Using the point-slope form
where
In our case:
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
Subtract 3 from both sides
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
