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Paul [167]
3 years ago
7

Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

y=-2/3*x+1/3

Step-by-step explanation:

-6x+4y=-12

put into y=mx+b line equation

4y=6x-12

y=(6/4)x-(12/4)

y=(3/2)x-4

slope is 3/2

to find perpendiular line slope take the negative inverse.

-(2/3) = slope of perpendicular line

use line equation and solve for y-intercept (b)

3=(-2/3)*(-4)+b

3=8/3+b

b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.

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The graph shows the attendance at a hockey game, and the rate at which the fans enter and exit the
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The answer is below

Step-by-step explanation:

From the graph, we can see that both segment 1 and segment 2 are positive slopes (as the time increases, the number of people increases)

Segment 1 is more steep than segment 2 (the number of people increases in segment 1 more than segment 2). This means that the number of people entering the arena in segment 1 was higher than the rate of people entering the arena in segment 2.

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Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
vovikov84 [41]

Answer: C, E, F

Step-by-step explanation:

  1. Plug in the "x" and "y" values from the ordered pairs into the equation.
  2. For A: 3 = \frac{1(5)}{5} → 3 ≠ 1 → A is eliminated.
  3. For B: 5 = \frac{1(1)}{5} → 5 ≠ \frac{1}{5} → B is eliminated.
  4. For C: 2 = \frac{1(10)}{5} → 2 = 2 → C satisfies the equation.
  5. For D: 10 = \frac{1(4)}{5}→ 10 ≠ \frac{4}{5} → D is eliminated.
  6. For E: -1 = \frac{1(-5)}{5}→ -1 = -1 → E satisfies the equation.
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the pet shop owner told Jean to fill her new fish tank 3/4 full with water jean filled it 9/12 full.what fraction of the tank do
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3/4=9/12

3/4
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The table represents an exponential function.
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Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

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The multiplicative rate of change, b is 2/3.

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3 years ago
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