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MAVERICK [17]
3 years ago
15

A line passes through (2, −1)(2, −1) and (4, 5)(4, 5).

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0
<span><span><span><span>1. <span> Find the slope and y-intercept for the equation 2y = -6x + 8.</span></span><span>First solve for "y =":     <span> y</span> = -3x + 4
Remember the form:     <span>y </span>= mx + b
Answer:  the slope (m) is -3
                the y-intercept (b) is 4</span></span><span><span>3.  Given that the slope of a line is -3 and the line passes through the point (-2,4), write the equation of the line. </span><span>The slope:  m = -3
The point (x<span>1 </span>,y1) = (-2,4)
Remember the form:  y - y1 = m ( x - x1)
Substitute:                 <span>y </span>- 4 = -3 (x - (-2))
ANS.                       <span> y</span> - 4 = -3 ( x + 2)   

If asked to express the answer in "y =" form:             y - 4 = -3<span>x </span>- 6
                          y = -3x - 2 </span>
</span></span><span><span><span>2.  <span>Find the equation of the line whose slope is 4 and the coordinates of the y-intercept are (0,2).</span></span><span>In this problem m = 4 and b = 2.
Remember the form:  y = <span>mx </span>+ <span>b </span>and that<span> b</span>is where the line crosses the<span> y-</span>axis.
Substitute:          <span> y = 4x + 2    </span></span> </span><span><span>4.  Find the slope of the line that passes through the points (-3,5) and (-5,-8).</span><span>First, find the slope:    

Use either point:  (-3,5)
Remember the form:  <span>y </span>- y1 = m ( x - x1)
Substitute:  y - 5 = 6.5 ( x - (-3))
                  <span>y </span>- 5 = 6.5 (x + 3)  Ans.</span> 
</span></span></span>
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Step-by-step explanation:

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2) √-4 . √-3 . √-3

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Answer:

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C) no values of x

Step-by-step explanation:

1) slope of m: (3-2)/(10-8) = ½

m(x) = ½x + c

2 = ½(8) + c

c = -2

m(x) = ½x - 2

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h(4) = (4-2)²/2 = 4/2 = 2

h(4)-m(16) = 2-6 = -4

B) y-intercept of:

*h(x) = ½(0-2)² = 2

*m(x) = -2

from the equation found before

2 - (-2) = 4 units apart

C) m(x) = (x-4)/2

m(x) > h(x)

(x-4)/2 > ½(x-2)²

x-4 > x²-4x+4

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3 An open cone has a vertical angle measuring 40°
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Answer:

13.41 cm

Step-by-step explanation:

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Where

Radius will be the base of the triangle

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Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

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