Given points (0, 1) and (-7, 5):
Let (x1, y1) = (0, 1)
(x2, y2) = (-7, 5)
First, solve for the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (5 - 1) / (-7 - 0)
m = 4/-7 = -4/7
Now that we have our slope, m = -4/7, we can plug this in, along with one of the given points, (0, 1), into the point-slope form:
y - y1 = m(x - x1)
y - 1 = -4/7(x - 0) ← This is the point-slope form
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Reflection across the x-axis and then translation 5 units left.
Answer:
d= 4,-1
Step-by-step explanation:
The length of the radius (r) to the nearest tenth is 13.2
<h3>What is Pythagoras theorem?</h3>
The theorem states that the square of the longest side is equal to the sum of the square of other two sides.
In order to determine the radius of the circle, we will use the theorem above to have:
AO² = AB² +r²
Given
AB = 15
AO = 20
Substitute
20² = 15² +r²
r² = 400 - 225
r² = 175
r = 13.2
Hence the length of the radius (r) to the nearest tenth is 13.2
Learn more on Pythagorean theorem here: brainly.com/question/343682
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