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3 years ago

What is an equation that is a parabola with a vertex at(-1,-1)

1 answer:

5 0

The equation for a parabola is y = ((x - a)^2) + b. There is a shift one to the left (we’ll call that a) and one shift down (we’ll call that b) for the point (-1,-1). Shifts to the left and right are replaced with a and shifts up and down are replaced with b. y = ( x - (-1))^2 - 1. Simplify: y = (( x + 1)^2) - 1

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A steady wind blows a kite due west. the kite's height above ground from horizontal position x = 0 to x = 120 ft is given by y =

professor190 [17]

The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is
$distance= \int\limits^{120}_{0} {\sqrt{1+(\frac{1}{20}(x-50))^{2}} \, dx$

It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is
$\frac{x-50}{40} \sqrt{(x-50)^{2}+400} +10 arcsinh(\frac{x-50}{20})$
This evaluates to
$\frac{1}{2}(25 \sqrt{29} +35 \sqrt{53}) +10(arcsinh( \frac{5}{2}) +arcsinh( \frac{7}{2})) \approx 230.8$ feet

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3 years ago

You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?

nevsk [136]

So i believe the answer is d) 1/9

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3 years ago

Y = f(x) = 2^x

Virty [35]

Answer:

The value of f(x) when x=-1 is 0.5

Therefore $f(-1)=0.5$

Step-by-step explanation:

Given that y=f(x)= $2^x$

to find the f(x) when x=-1 :

That is to find f(-1)

Put x=-1 in the given function f(x)= $2^x$

$f(-1)=2^{-1}$

$=\frac{1}{2}$

$=0.5$

Therefore $f(-1)=0.5$

The value of f(x) when x=-1 is 0.5

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4 years ago

The inequality x + 2y2 3 is satisfied by point (1, 1).<br> True<br> False

Stolb23 [73]

Answer: true

Step-by-step explanation: because i learned last year in my accelerated math class about this and we did a quizlet on it and it had a question like that on the quiz.

8 0

3 years ago

Read 2 more answers

Qhat is 4c - 11 - 5c + 17 what are the coefficients

Oksi-84 [34.3K]

Answer:

4 and 5

Step-by-step explanation:

4 and 5 are the co efficients of c

5 0

3 years ago

What is an equation that is a parabola with a vertex at(-1,-1)​

What is an equation that is a parabola with a vertex at(-1,-1)