Select the three models that represent 45%.
1 answer:
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Answer:
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
Step-by-step explanation:
First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.
Our initial matrix to multiply:
Moved to the origin:
Multiplied by four:
This gives us the points of
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
which are our answers.
The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 8
c = 34
^^^Plug these numbers into the theorem
solve for x
+ 64 = 1156
Subtract 64 to both sides
= 1092
Take the square root of both sides
x = √1092
This can be simplified to:
2√273
or
x ≈ 33.045...
The ladder reached roughly 33.05 ft up the wall of the building
Hope this helped!
~Just a girl in love with Shawn Mendes
