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Alenkinab [10]
2 years ago
14

One line passes through the points (−1,6) and (2,0). A second line passes through the points (−5,5) and (−1,9). At what point do

the two lines intersect
Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
7 0

Answer:

(-2,8)

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

Line 1: m = (0 - 6)/(2 - -1) = -6/3 = -2

y = mx+ b => y = -2x + b => 0 = -2(2) + b => 0 = -4 + b => b = 4

y = -2x + 4

Line 2: m = (9 - 5)/(-1 - -5) = 4/4 = 1

y = mx + b => y = x + b => 9 = -1 + b => b = 10

y = x + 10

When the 2 line intersects, they will same the same (x,y)

so line 1 = line 2

-2x + 4 = x + 10

-2x - x = 10 - 4

-3x = 6

x = -2

y = -2x + 4 = -2(-2) + 4 = 8

so the lines intersect at (-2,8)

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The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct
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The functions would be:

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We can check it out.

(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
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8 0
3 years ago
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
ella [17]

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

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erik [133]

Answer:

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if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

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