Answer:
P'(7 , -11)
Step-by-step explanation:
what this tells us
(x,y) → ( x+3, y−2)
Is that the value of x of the new point is going to take (x + 3) with respect to the value of x of the other point.
Is that the value of y of the new point is going to take (y - 2) with respect to the value of y of the other point.
P (4,−9)
x = 4
y = -9
P'( x+3, y−2)
x + 3 =
4 + 3 = 7
y - 2 =
-9 - 2 = -11
P'(7 , -11)
Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
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Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
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Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
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Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
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Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
A is the correct answer because it is the only one that shows the angles that add up to 180 degrees on a line since a supplementary angle is on the line and will add up to 180. D would be correct if angles 6,4,and7 were placed together as those angles together wake a line but no, this means A is the correct answer
Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then
By using the property
We know that
Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,
Hence, the length of vectors u and v must have the same length.
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
