The answer is y=- 7/6x+8
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Answer:
Option C. −4≤t≤−3
Step-by-step explanation:
we have

This is the equation of a vertical parabola written in vertex form
The parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (-3,5)
The function is increasing in the interval [-3,∞)
The function is decreasing in the interval (-∞,-3]
The function will have a negative average rate when the function will be decreasing
therefore
the answer is option C
Answer: 30.5 cm²
To get the the area of the rectangle all we have to do is:
Rectangle Area = 6 × 8 = 48 cm²
Same thing to the circle, multiply the radius and pi:
Circle Area = 3.14 x 5² = 78.5 cm²
We have to subtract the two areas to find the shaded area.
78.5 - 48 = 30.5 cm²
I hope this helps!
Answer:
h=404.89
Step-by-step explanation:
We are looking for side h, which is opposite of the observer. We know that the side adjacent to the observer is 500 feet. We also know that the angle from the observer to the bird is 39°. Because we have these values, SOH CAH TOA tells us that we should use tangent, opposite over adjacent.
We can set up our equation as follows:
tan(39°)=h/500
We can then solve for h:
500*tan(39°)=h
h=404.89
Answer:
1/8
Step-by-step explanation:
<u>Solving in steps:</u>
- x(8x - 8y)⁻¹ + y(8y - 8x)⁻¹ =
- x/8(x-y) +y/8*(-(x-y))
- x/8(x-y) - y/8(x-y) =
- (x -y)/8(x-y) =
- 1/8
Answer is 1/8