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Alexus [3.1K]
3 years ago
7

What is the distance between the points (-3, 1) and (1, 3)?

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

4.47

Step-by-step explanation:

a^2+b^2=c^2

2^2+4^2=c^2

4+16=c^2

20=C^2

\sqrt{20}= \sqrt{c^2}

4.47=c

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The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many se
Masja [62]

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, s = 709 feet

Initial velocity of the bucket, u = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

g or 32.1741 ft/sec^{2}

Let the time taken is t seconds.

Formula for distance is given as:

s = ut+\dfrac{1}{2}at^2

Putting all the values:

709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}

6 0
3 years ago
a gymnasium is 88 feet long and 76 wide on a blueprint the gymnasium is 5.5 inches long what is the width of the gymnasium on th
attashe74 [19]

First we would need to find the portion of the gymnasium to the blueprint to do that please do this:

88/5.5 = 16

The length divided by the blueprint's length

Since we know that the gymnasium is 16 times the blueprint, to find the width divide 16 to 76:

76/16 = 4.75

The width divided by the 16 times

The width of the blueprint is 4.75 inches

6 0
3 years ago
Read 2 more answers
Find the value <br>f(x)=6x<br>f(2)=[?]
kap26 [50]
If f(x) = 6x , then f(2) = 6(2) or f(2) = 12... simply substitute the argument in for the variable in your expression on the right.
5 0
3 years ago
What is the correlation for a linear model of this data rounded to the nearest hundredth
GaryK [48]
I think it's a positive correlation because both the x and y values are increasing
4 0
3 years ago
The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.
Elena-2011 [213]

9514 1404 393

Answer:

  • zeros: t = 1, t = -1/2
  • no: the domain of the function is t ≥ 0
  • 8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

7 0
3 years ago
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