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Alekssandra [29.7K]
2 years ago
5

Which equation represents the vertical line passing through (14,-16)?.

Mathematics
1 answer:
Anarel [89]2 years ago
6 0

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

<u>Given the following data:</u>

  • Points (x, y) = (14, -16)

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

y=mx+b

<u>Where:</u>

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Read more: brainly.com/question/2707920

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Step-by-step explanation:

You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.

4 0
3 years ago
Mompoint bought a jacket on sale for 40% off at a department store. The original price was $180. Mompoint must also pay an 8% sa
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2 years ago
Guest ages at a ski mountain resort typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5
ValentinkaMS [17]

Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.

, where \overline{x} = Sample mean

z* = Critical value.

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

\overline{x}=36.4

\sigma=14.5

n= 40

We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)

∴ a 99 percent confidence interval for µ, the true mean age of guests  = (30.49 years, 42.31 years)

7 0
3 years ago
If a plank which is 10 feet long is cut into
Firlakuza [10]

Answer:

If a plank which is 10 feet long is cut into two pieces and if one piece is x feet long,

Then the other piece will be (10 – x) feet long.

Here the value of the one piece is given as ‘x’ value

so the represent of the length of the other part will be (10 – x ) feet

know more about “ratio” here:

brainly.com/question/12024093

#SPJ9

3 0
1 year ago
(20) points and brianliest) Write the equation of a line which contains the point (4,3) and (2,5). Remember you must first find
lions [1.4K]
Slope formula
y2-y1/x2-x1
5-3/2-4
2/-2
-1 = slope

y=-1x+b
5=-1(2)+b
5=-2+b
b=7

Your answer:
y= -1x + 7
3 0
3 years ago
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