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Lynna [10]
3 years ago
12

Which of the following is true when constructing a line graph?

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Find the midpoint between A and C.
Sloan [31]

Answer:

<h2>(0.5, 0.5)</h2>

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

From the graph we have the points A(-2, 4) and C(3, -3).

Substitute:

M_{AC}(x,\ y)\\\\x=\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\y=\dfrac{4+(-3)}{2}=\dfrac{1}{2}=0.5

6 0
3 years ago
Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 855 people, 47 people had he
Mrrafil [7]
<span>The point estimate of the proportion of people who wear hearing aids if, in a random sample of 855 people, 47 people had hearing aids is , p=47/855 p= 0.054 thus the point of estimation p= 0.054</span>
5 0
3 years ago
Using compatible number to estimate the quotient 2116÷7
DerKrebs [107]

Answer:

302

Step-by-step explanation:

7 goes into 21 3 times, so the first digit of the quotient is 3.  There's no remainder.  Bringing down the second "1," we find this indivisible by 7, and so bring down the 6.Thus, Remember that 7 goes into 14 2 times.  Thus, a good estimate would be 302.

3 0
3 years ago
I NEED HELP I DONT UNDERSTAND
wel

Answer:

i have no idea, Im very much sorry

Step-by-step explanation:

3 0
2 years ago
The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
3 years ago
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