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Kay [80]
3 years ago
15

A theme park designer wants to build a water slide with a slope of -3. The slide has to end at (120, 0). What is a possible star

ting point for the water slide?
a. (360, 0)


b. (0, 360)


c. (0, 120)


d. (400, -500)
Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

b

Step-by-step explanation:

if the slope is -3 the y intercept will be (0,360). thus that is the best answer choice.

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Olegator [25]

Answer:

Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.

Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:

−1.3x−8.9x  = -10.2x. This is equivalent to  -1.3 + (-8.9X) .

8.9x+(−1.3x)  = 7.6x This is equivalent to  -1.3x - (-8.9x) .

−8.9x+(−1.3x)  = -10.2x This is equivalent to  -1.3 + (-8.9X) .

8.9x−(−1.3x)  = 10.2x Neither

−1.3x+8.9x  = 7.6x This is equivalent to  -1.3x - (-8.9x)  .

−8.9x+1.3x = -7.6x Neither

Step-by-step explanation:

5 0
3 years ago
How do you do this question?
Lena [83]

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

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3 years ago
Newton's first law of motion applies only to objects that are already moving.<br> O True<br> O False
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Answer:

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Step-by-step explanation:

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attashe74 [19]

Answer:

y = 14/5x + 2

Step-by-step explanation:

is seems as though the y-intercept would be 2 and the slope is 2.8 which is

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Andrew needs a ladder to hang hoilday lights. His house is 24ft tall and he has a flower bef that extends 4 ft out from the side
elena-14-01-66 [18.8K]

Answer: 24.33\ ft

Step-by-step explanation:

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You must apply the Pythagorean Theorem. This is:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.

If you solve for "a", you get:

a=\sqrt{b^2+c^2}

In this case, you can identify in the figure that:

a=x\\\\b=24\ ft\\\\c=4\ ft

Therefore, knowing those values, you can substitute them into  a=\sqrt{b^2+c^2} and then you must evaluate, in order to find the value of "x".

This is:

x=\sqrt{(24\ ft)^2+(4\ ft)^2}\\\\x=24.33 ft

5 0
3 years ago
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