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rodikova [14]
2 years ago
15

At what point on the curve x^2 + y^2 = 9 is the tangent line vertical?

Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? <em>when it passes through the x-axis.</em>

Answer: (-3, 0), (3, 0)

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Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Salsk061 [2.6K]

The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).

Here the bird path will be a parabola with a maximum height of 20 yards.

The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)

= √(38-2)²

= 36 yards

Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

8 0
2 years ago
henley needs to calculate the base of a trapezoid, b, given the area, a, in inches. She need to rearrange the formula a=16(b+4).
yKpoI14uk [10]

Answer:

b = (a/16) - 4

Step-by-step explanation:

a = 16(b + 4)

a = 16b + 64

16b + 64 = a

16b = a - 64

16b/16 = (a/16) - 64/16

b = (a/16) - 4

3 0
2 years ago
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Find the factors of<br>y2 + 2y - 35​
baherus [9]

Answer:

(y-5)(y+7)

Step-by-step explanation:

3 0
3 years ago
Just answer no need to explain.
Bogdan [553]
Shifting to left mean adding the number from each occurrence of x from the given function.

So, shifting x³ , 3 units to left will result in:

f(x) = (x + 3)³

Shifting down means subtracting the number from the function value. 

So, shifting 2 units down will result in:

f(x) = (x + 3)³ - 2

Therefore, option A is the correct graph
8 0
2 years ago
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HELPPPP PLEASEEEEE ​
Alecsey [184]
I’m not rly sure what it means by flipping the card …. I’m assuming there’s more to this question but if it’s what I think it is the only way this equation will be true is by switching the + Symbol to - (subtraction) which would be 1-2= 3-4 since it would 1=1 making the equation true
7 0
2 years ago
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