28 as a prime factorization

Mathematics

1 answer:

olasank [31]2 years ago

8 0

Answer:

2*2*7

Step-by-step explanation:

First do a number that can multiply up to 28

28=2*14

so keep the 2 , because it is a prime number, but 14 isn't so prime factorize it

2*14=2*2*7

2*2*7 is your answer because they all prime factors

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Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)

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The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to $y = -5x - 4$ is $\mathbf{y -5 = \frac{1}{5} (x - 15)}$

Recall:

The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).

Given:

the point the line passes through: (15, 5)
the line it is perpendicular to: y = -5x - 4

Find the slope (m):

The slope value will be the negative reciprocal of the slope value of y = -5x - 4.

The slope of y = -5x - 4 is -5.

Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.

Write the equation in point-slope form by substituting m = 1/2 and (a, b) = (15, 5) into y - b = m(x - a)

Thus:

$y -5 = \frac{1}{5} (x - 15)$

Therefore, the equation for the line that passes through (15, 5) and is perpendicular to $y = -5x - 4$ is $\mathbf{y -5 = \frac{1}{5} (x - 15)}$

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Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find th

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Answer:

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Step-by-step explanation:

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