Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows
the correct relationship between ΔABC and ΔA″B″C″?
1 answer:
Answer:
Step-by-step explanation:
Given the information:
- A'B'C' reflection over x = −1
- dilation by a scale factor of 4 from the origin
<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
=
We choose C.
Hope it will find you well.
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(a) Calculate the vertical distance between the eagle and the seahorse.
Answer a: 11.38 meters is the vertical distance between them.
(b) Describe Adrian's position from the sea level.
Answer b: Adrian is 1.13m below the sea level.
Step-by-step explanation:
(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.
The vertical distance between the eagle and the seahorse is the difference between their positions:
Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters
Answer a) 11.38 meters is the vertical distance between them.
(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:
Middle = 11.38m/2 = 5.69m
Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:
4.56m - 5.69m = -1.13m
Answer b: Adrian is 1.13m below the sea level.
<h2><em>Spymore</em></h2>
The given equation is
And we have to solve for y.
Solving for y, means isolating y . And to isolate y, we need to get rid of 4 that is with y .
It means we have to separate 4 from y, and for separation , we have to perform division. That is, we have to divide both sides by 4, and that will be the next step .
So out of the four options, correct option is the last option .