Answer:
Step-by-step explanation:
The y-intercept is where the line itersects the y-axis, which is the dark vertical line. This is -8 represented as the constant in the equation.
To find the slope, find the rise over run. Every time the line goes over 1 it goes down 6, so the slope would be -6.
The area of the circle = π r² = π (d/2)²
Where r is the radius of the circle
And d is the diameter of the circle
d = 2r OR r = d/2
given d = 10 in ∴ r = d/2 = 10/2 = 5 in
∴ The area of the circle = π r² = π * 5² = 25π ≈ 78.54 in²
The correct answer is the fourth option 78.54
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very important note:
There is a mistake in the dimension of the answers.
The dimension of the given diameter is inch , while the dimensions of the answers is square cm.
If it is required to find the area in square cm
∵ 1 inch = 2.54 cm
∴ r = d/2 = 10/2 = 5 in = 5 * 2.54 cm = 12.7 cm
∴ Area = π r² = π * (12.7)² = 161.29π ≈ 506.7 square cm
Step-by-step explanation:
The Ratio is given as 100:1
Which means In 1 minute you travelled 100 steps
Therefore,
- In 2 minutes you will travel = 2×100 = 200 steps
- In 3 minutes you will travel = 3×100 = 300 steps
- In 4 minutes you will travel = 4×100 = 400 steps
Using translation concepts, it is found that the transformation is a reflection over the y-axis.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:
(x,y) -> (-x,y).
Meaning that the transformation is a reflection over the y-axis.
For O and B, the rules are given as follows:
- O: (0,0) -> (-0,0) = (0,0).
- B: (0,4) -> (-0, 4) = (0,4).
Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.
More can be learned about translation concepts at brainly.com/question/4521517
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