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Inessa05 [86]
3 years ago
10

What is the slope of the line through (6,9)(6,9)(, 6, comma, 9, )and (7,1)(7,1)(, 7, comma, 1, )?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

the slope of the given line is -8

Step-by-step explanation:

(6,9) and (7,1)

To find the slope of the given line we use formula

slope = \frac{y_2-y_1}{x_2-x_1}

the value of x1 is 6 and y1 is 9

the value x2 is 7 and y2 is 1

plug in the value in the slope formula

slope = \frac{1-9}{7-6}=\frac{-8}{1}=-8

the slope of the given line is -8

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Benjamin’s and David’s ages add up to 36 years. The sum of twice their respective ages also add up to 72 years. Find their ages
nydimaria [60]
Answer:Benjamin’s age = 30 and David’s age = 6

Explanation:

Let x be the age of Benjamin
Let y be the age of David

x + y = 36

And 2x + 2y = 72

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30 + 6 = 36
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5 0
2 years ago
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Solve number 25 pls i dont know how to put it into an equation
Allushta [10]

Answer:

Equation to solve is x+x+120=180

Solution to equation: x=30

Step-by-step explanation:

The angles in a triangle have a sum 180 degrees.

You know one angle is 120 degrees.

If you assume another angle has a measurement of x degrees, then the remaining angle has a measurement of x degrees.  We know this because congruent means they will have the same measurement.

So we have this equation to solve:

x+x+120=180

Combine like terms:

2x+120=180

Subtract 120 on both sides:

2x=180-120

Simplify:

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x=60/2

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8 0
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Find the lengths of the segments with variable expressions
nlexa [21]

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

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EF = 7 units

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BC = 2(7) - 3 = 11 units

5 0
2 years ago
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