You get everything you need from factoring the last expression:
The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with
Plug in everything you know and solve for :
Find the area of the shaded region please.
1 answer:
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Answer:
<h2>3.6°</h2>Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
Answer:
Step-by-step explanation:
When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
E (8,4) ⟶ E' (-8,4)
F (-16,-8) ⟶ F' (16,-8)
G (24,-16) ⟶ G' (-24,-16)
The figure EFG and its reflection E'F'G' are shown in the diagram below.
