Answer:
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
Convert mixed number to an improper fraction
substitute
Simplify
Convert to mixed number
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The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula.
We will use these endpoints to find the center.
Midpoint =
=
=
= (- 1, 1)
This is the center.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in our given information now.
(x + 1)² + (y - 1)² = 6²
(x + 1)² + (y - 1)² = 36 is your equation.
We will use these endpoints to find the center.
Midpoint =
=
=
= (- 1, 1)
This is the center.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in our given information now.
(x + 1)² + (y - 1)² = 6²
(x + 1)² + (y - 1)² = 36 is your equation.
Answer:
The equation of the line in slope-intercept form is:
y = -1/6x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the points on the line graph
- (0, 4)
- (6, 3)
Determining the slope between (0, 4) and (6, 3)
- (x₁, y₁) = (0, 4)
- (x₂, y₂) = (6, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [6 - 0]
= -1 / 6
Thus, the slope of the line = m = -1/6
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 = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = -1/6 in the slope-intercept form
y = mx + b
y = -1/6x + 4
Therefore, the equation of the line in slope-intercept form is:
y = -1/6x + 4