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olasank [31]
3 years ago
5

Pls don’t have much time

Mathematics
2 answers:
Vsevolod [243]3 years ago
5 0

Answer:

the answer is b

Step-by-step explanation:

35 occurs the most on the graph meaning that it's the mode

Elina [12.6K]3 years ago
5 0
The correct answer is b
35
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Find the distance from point A(−14, 5) to the line −x+2y = 14.
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Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

-x+2y= 14

And the point is:

A = (x_1,y_1) = (-14,5)

The standard form of equation of line is:

Ax+By+C = 0

Converting the given equation into standard form

-x+2y-14=0

The distance of a point (x1,y1) from a line is given by the formula:

d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

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