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Aleonysh [2.5K]
3 years ago
7

Keith is thirteen years older then nephew William. In four years Keith will be twice as old as William. How old is William now?

Mathematics
1 answer:
marin [14]3 years ago
7 0
He is 26 years old because 13 + 13 = 26

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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
11 months ago
Could someone help me please
mash [69]

Answer:

  28

Step-by-step explanation:

The number is proportional the central angle in the chart. 360° represents all 72 of the people, so 140° (the size of the Oblivion sector) will represent ...

  (140°/360°)×(72 people) = 28 people

6 0
3 years ago
Fill in the missing numbers to complete the pattern:<br><br> 5.81, ,5.91,5.96, ,6.06
zimovet [89]
You’re going to be adding by .05

so the first one would be 5.86 and the second one would be 6.01

hopefully this helps!
4 0
3 years ago
Which best explain |-4|=4
Roman55 [17]

Answer:

your finding the absolute value, I  I  this means absolute value which means if its negative it automatically is its own number you get rid of the negative sign if it's positive just keep it because it's already in it's normal number.

For example: I -4 I = 4

For example: I -5 I = 5

For example: I 3/4 I = 3/4

For example: I 3 I = 3

For example: I 4 I = 4

5 0
2 years ago
What is one characteristic of a cosine function
Helen [10]
They are periodic functions with a period of 2π. The domain of each function is (−∞,∞) and the range is [−1,1]
8 0
3 years ago
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