The coordinate for the image of point H( -1, -5) under a 90° clockwise rotation about the origin is, (- 5, 1)
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinate of the point H( -1, -5)
Now, The rule for the 90° clockwise rotation about the origin is,
(x, y) = (y, - x)
Hence, The coordinate for the image of point H( -1, -5) under a 90° clockwise rotation about the origin is,
(- 1, - 5) = (- 5, 1)
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The slopes of the two lines are opposite reciprocals.
B.
One line must have a positive slope.
C.
The y-intercepts are the same.
D.
One line must have a negative slope.
Side a = 4 + Side b
Side c = 2(Side b)
Perimeter of triangle = 28 cm
Length of each side
Assume;
Side b = q
Side a = 4 + q
Side c = 2q
So,
Perimeter of triangle = 28 cm
q + 4 + q + 2q = 28
4q = 24
q = 6
Side a = 10 cm
Side b = 6 cm
Side c = 12 cm
In this Mathematics problem, you're searching for two numbers that, when multiplied, equal 3969 and, when added, equal 126. By factoring 3969, we find that the numbers 63 and 63 meet both criteria.
This Mathematics problem falls under factoring in Algebra. You are trying to find two numbers that multiply to 3969 (the product) and add up to 126 (the sum). The numbers you're looking for are 63 and 63. Let's see why.
First, factor 3969. The factors of 3969 are 1, 3, 9, 27, 81, 147, 441, 1323, and 3969. Looking at these factors, we see that only 63 and 63 multiply together to give 3969.
Now, check if they also add up to 126. Indeed, 63 + 63 equals 126, confirming that these are the two numbers you're looking for.
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Answer: -2,2
Step-by-step explanation: