Answer:
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Step-by-step explanation:
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Dilation can also be referred to as scale factor
6cm × 2.25 = 13.5 cm
9 cm × 2.25 = 20.25 cm
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Answer:
Period of the given harmonic function is 1.
Step-by-step explanation:
In any harmonic function which is in the form of y = asin(bx+c) + d , we know
Period of this function will be represented as P = 
Therefore for the given function d = 5 sin (2πt) we know the value of B is 2π.
So the period will be P = 
The answer is period = 1
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer:
The answer is
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Step-by-step explanation:
The slope of a line given two points can be found by using the formula
<h3>
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where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-7, 1), and (-4, -3)
The slope is
<h3>
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We have the final answer as
<h3>
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Hope this helps you
