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Citrus2011 [14]
3 years ago
14

What is the the highest common factor of 25 and 45?

Mathematics
1 answer:
serg [7]3 years ago
5 0
Five because both 45 & 25 are not divisible by 2, 3, 4, 6, 7, 8 or 9.
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Read 2 more answers
write the equation of the line that is perpendicular to the given line and that passes through the given point. y = -1/3x+5;(4,3
timama [110]

Answer:

The equation of line perpendicular to given line equation and passing through point (4,3) is y = 3 x - 9  .

Step-by-step explanation:

Given as :

The given equation of one line = y = \dfrac{-1}{3}x + 5

∵ Equation of line in slope-intercept form is written as

y = m x + c

where m is the slope of line

And c is the intercept of y

Now, Comparing given line equation with standard slope intercept line equation

∴  m = \dfrac{-1}{3}

Slope of this line = m = \dfrac{-1}{3}

Now, another line is perpendicular to the given line

For perpendicular lines , the products of slope of lines = - 1

Let the slope of another line = M

So, from perpendicular lines condition

m × M = - 1

∴ M = \dfrac{-1}{m}

I.e M = \frac{-1}{\frac{-1}{3}}

So, M = 3

∴ The slope of other line = M = 3 , and the line passing through point (4,3)

Now, Again

The equation of line in slope-intercept form

I.e y = M x + c

Now, satisfying the points on line

So, 3 = 3 × 4 + c

Or, 3 = 12 + c

∴ c = 3 - 12

i.e c = - 9

or, The other line equation = y = 3 x - 9

Hence, The equation of line perpendicular to given line equation and passing through point (4,3) is y = 3 x - 9  . Answer

5 0
2 years ago
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