6x - 9 = 15 linear equations
2 answers:
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Answer:
Option B
Step-by-step explanation:
It's clear from the graph attached,
ΔABC has been dilated and shifted downwards.
Length of segment AB = 2 units
Length of segment DE = 4 units
Scale factor by which the dilation has been done =
Scale factor =
=
= 2
Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.
Lets consider a point B(0, 0) from the given graph and analyze the transformations done.
If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,
B(0, 0) → E(0 + h, 0 + k)
Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.
Therefore, (0 + h) = 0 ⇒ h = 0
0 + k = -10
k = -10
Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)
Option B is the correct option.
Answer:
See below
Step-by-step explanation:
I am not sure about number 22. I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)
This solution to this problem is predicated on the fact that the circumference is just: . A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
So, solving for both the radius and the diameter gives us:
So, the length of thes traight path that goes through the center of the guardain is just , and we can use the radius for the next part of the problem.
The area of a circle is , which means we can just plug in the radius and find our area:
So, we have found our area() and the problem is done.