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Llana [10]
4 years ago
12

A line with a slope of 1 passes through the points (5,w) and (-7,-9). what is the value of w?

Mathematics
1 answer:
sladkih [1.3K]4 years ago
3 0
Slope = difference in y / difference in x
Slope = (w --9) / (5 --7)
Slope = (w +9) / (5 + 7)
12 * slope = w +9
w = 12*slope -9 and since slope = 1,
w = 12 -9
w = 3



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AleksAgata [21]

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

<u>Function 1:</u>

<u></u>-2x+5y = 10<u></u>

Adding 2x on both sides

<u></u>-2x+5y+2x = 2x+10\\5y = 2x+10<u></u>

Dividing both sides by 5

<u></u>\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2<u></u>

Let m1 be rate of change of function 1:

<u></u>m_1 = \frac{2}{5}<u></u>

<u></u>

<u>Function 2:</u>

<u></u>-6x+3y = 18<u></u>

Adding 6x on both sides

<u></u>-6x+3y+6x = 6x+18\\3y = 6x+18<u></u>

Dividing both sides by 3

<u></u>\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6<u></u>

Let m2 be the slope of function 2

<u></u>m_2 = 2<u></u>

As we can see that

<u></u>m_2>m_1<u></u>

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

7 0
3 years ago
Jared mows several lawns in his neighborhood and is paid a different amount per lawn. He decided to make a graph of how much mon
Tresset [83]

Answer: the false statement is c

Step-by-step explanation:

The graph of the amount earned for number of lawns mowed versus number of lawns mowed is sketched in the attached photo.

From the graph,

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b) The slope of the line can be used to estimate how much money Jared earns per lawn

d) Jared graphed the number of lawns mowed on the x-axis

The false statement is

c) Jared earns on average 14 dollars per lawn

7 0
3 years ago
HELP ASAP,, WILL GIVE BRAINLIEST​
madreJ [45]

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

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a + 130° = 180° ( subtract 130° from both sides )

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a and b are adjacent angles and sum to 180° , so

a + b = 180°

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Then sum the angles in the top triangle, that is

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8 0
3 years ago
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liq [111]

Answer:

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Step-by-step explanation:

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Collect the like terms

x^2 + (6x + 5x) + 30

Simplify

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Answer:

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