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Nataliya [291]
4 years ago
5

Is 2.5 greater or less than 1,950

Mathematics
1 answer:
OverLord2011 [107]4 years ago
8 0

Answer:

2.5 is less than 1,950.

Step-by-step explanation:

The decimal place is at the end of 1,950.

The decimal place is in the middle of the 2 and the 5.

Since 2.5 decimal place is closer, that means 2.5 has a lower value than 1,950.0.

You can subtract both values.

1,950 - 2.5 = 1,947.50, if it’s greater than 0, it means it has a lower value.

0 < 1,947.50.

Therefore, 2.5 < 1,950

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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x
Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

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Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

y-y_1=m\left(x-x_1\right)

substituting the values m = 1/6 and the point (6, -2)

y-\left(-2\right)=\frac{1}{6}\left(x-6\right)

y+2=\frac{1}{6}\left(x-6\right)

subtract 2 from both sides

y+2-2=\frac{1}{6}\left(x-6\right)-2

y=\frac{1}{6}x-3

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

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