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Effectus [21]
3 years ago
5

Length is the measurement of _______ between two points

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0
Distance, as far as i know
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TOTAL IS $1920
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Sam has 12 black and white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black and
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I only need 12 and 17, first good response i will give brainliest please i’m desperate
Mumz [18]

Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

7 0
1 year ago
X^3 + ax^2 +2ax + 5 divided by x + 1 what is the value of a
svlad2 [7]

a

X

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x

+

1

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a

2

x

2

x

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1

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2

a

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1

5 0
3 years ago
Which two points are on the graph of y = -x + 3?
ch4aika [34]

The points (0, 3) and (4, -1) are on the graph of y = -x + 3.

I have a site that I use a lot that is perfect for problems like these. It's called Desmos.com. It's basically a free online graphing calculator that is super helpful for most problems relating to graphs.

3 0
3 years ago
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