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Novay_Z [31]
3 years ago
9

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
First, let's re-arrange to slope-intercept form.

x + 8y = 27

Subtract 'x' to both sides:

8y = -x + 27

Divide 8 to both sides:

y = -1/8x + 3.375

So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.

So the slope of the perpendicular line will be 8.

Now we can plug this into point-slope form along with the point given.

y - y1 = m(x - x1)

y - 5 = 8(x + 5)

y - 5 = 8x + 40

y = 8x + 45
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2 years ago
The sum of three consecutive even numbers is 96. What is the smallest of the three numbers
lidiya [134]
The answer is 30.

First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.


This may help:

96/3=32

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8 0
3 years ago
Can anyone help please?
katen-ka-za [31]

Answer:

  • A'(-3, 12)
  • B'(9, 6)
  • C'(-6, -6)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

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2 years ago
34.82 in expanded form
kvv77 [185]
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5 0
3 years ago
Read 2 more answers
Help please...
stealth61 [152]

Answer:

1) 80%  2)25%

Step-by-step explanation:

1)80% of $2.50 = $4.50

2)25% of $9 = $2.25

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