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loris [4]
3 years ago
7

Write an equation in slope-intercept form of the line that passes through (−2, 5) and (−4, −5).

Mathematics
1 answer:
grin007 [14]3 years ago
6 0
A line that goes through (-2, 5) and (-4, -5) is y=5x+15. We can find that equation by using point slope form.
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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
What's the answer for 24
scZoUnD [109]
X= -2 or X= 3 either one works.
3 0
3 years ago
​One-third of a number is 1 more than ​one-fourth of the same number.<br> What is the number?
konstantin123 [22]

Answer:

  12

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

  x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

  x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

  x = 12 . . . . . . . . multiply by 12

7 0
3 years ago
Find the square root of the cube of 10.3
abruzzese [7]
Taking a sqrt=taking a 1/2 power, so when you take a power of a power, you multiply them. So you’re finding 10.3^(3/2).

=33.056
5 0
3 years ago
Read 2 more answers
A line goes through the points (-4,7) and (1,2) what is the equation of the line
OLga [1]

Answer:

I think it is 4, 14?

Step-by-step explanation:

6 0
3 years ago
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