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AlladinOne [14]
3 years ago
7

What is the slope of a line that contains the point (4, 3) and has a y-intercept of -5?

Mathematics
2 answers:
Zanzabum3 years ago
8 0
A point<span> on the </span>line, they have<span> given me an x-value and a </span>y<span>-value </span>for<span> this </span>line<span>: x = –1 and ... </span>y<span> = m ,x + b. </span>4<span> = (– </span>2/3<span>)(–2) + b. </span>4<span> = </span>4/3<span>+ b. </span>4<span> – </span>4/3<span> = b. </span>12/3<span> – </span>4/3<span> = b. b = </span>8/3<span>.</span>
ruslelena [56]3 years ago
3 0
The slope is -2. -5 - 3 = -8÷4 = -2.
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4x-36=-48x

subtract 4x

-36=-52x

divide by -52

x=1/2

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What are the solutions to the following system of equations? Select the correct answer below.
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3 years ago
a rocket is 1 mile above thw earth in 30 seconds and 5 miles above the earth in 2.5 minutes what is the rockets rate of change i
Veronika [31]
Rate of Change:

At 1 mile in 30 seconds.
At  5 miles in 2.5 minutes.  2.5 minutes = 2.5*60 = 150 seconds.

Rate of change =   Change in height / Change in time

                            =   (h₂-h₁)/(t₂-t₁)

                            =   (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.

                             = (1/30) miles per second or 0.0333 miles per second.


To have the answer in miles per minute.

         (1/30) miles per second = (1/30) miles/second.

60 seconds = 1minute
1 second = (1/60) minute.

(1/30) miles/second  =  (1/30) miles/(1/60)minute
                                   =   (1/30) *60 miles / minute
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8 0
3 years ago
Which of the following possibilities will NOT form a triangle? (5 points)
ruslelena [56]
<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

  • a+b > c
  • a+c > b
  • b+c > a

Refer to the triangle inequality theorem for more information.

3 0
2 years ago
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