Answer:
-0.62
Step-by-step explanation:
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A, the first one only, this parabola only has a minimum and no maximum. the other statements are also just false
Option B is the correct answer.
ΔWVS ≅ ΔWUT
Solution:
Given STUV is a rectangle.
To prove that ΔWVS ≅ ΔWUT:
Step 1: Given STUV is a rectangle.
Step 2: All the angles in the rectangle are right angles.
So that, ∠V = ∠U = 90°
Step 3: ∠V ≅ ∠U (Angle)
Step 4: All rectangles are parallelograms.
Therefore STUV is a parallelogram.
Step 5: In parallelogram opposite sides are congruent.
Therefore, SV ≅ TU (Side)
Step 6: Given WV ≅ WU (Side)
Step 7: From step 3, step 5 and step 6
ΔWVS ≅ ΔWUT by SAS congruence rule.
Option B is the correct answer.
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
