Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
A
So, first we look at the equations
y= (x+3)^2+4 changes to
y= (x+1)^2+ 6
So, the first one is saying that we start at (-3,4)
(since when in the parentheses, it's opposite) and the second one is saying start at (-1,6), so it moved on the x-axis 2 units to the right and on the y-axis, it moved 2 units up
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = 
= 
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine = 
= 
= 
So,
=
= 
Sin90 = 1
sinB = 
B = 
()
B = 57.5°
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