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Brut [27]
2 years ago
10

23, 529/23

Mathematics
1 answer:
allsm [11]2 years ago
7 0

Answer:

The given expression for the division is 23,529/23

Evaluating the expression using mental math gives;

23,529/23 = (23,000 + 230 + 230 + 23 × 3)/23 = 1000 + 10 + 10 + 3 = 1,023

Evaluating the expression using the division algorithm states as follows;

When an integer a is divided by another integer n, then we can find the numbers q and r such that a = b·q + r and a/b = q + r/b, where, b > 0, and 0 ≤ r ≤ b

Where;

q = The quotient

r = The reminder

Therefore, we have;

23,529 = 23×q + r

Given that 23 × 1029 = 25,529, we have

23,529 = 23 × 1029 + 0

Therefore, q = 1029, and r = 0

Step-by-step explanation:

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3 years ago
Find an equation of the line. Write the equation using function notation.
Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

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Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

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m_1 = \frac{1}{4}\\

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As we know that produt of slopes of two perpendicular lines is -1

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The slope intercept form of line is given by:

y = m_2x+b

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y = -4x+b

to find the value of b, putting (3,-3) in equation

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Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

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Step-by-step explanation:

f(x) = 2x - 1

f(10) = 2(10) - 1

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