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Mkey [24]
3 years ago
7

What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

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In which quadrant is the number –14 – 5i located on the complex plane?
AlekseyPX
On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.

Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.

Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.
4 0
3 years ago
Layla has 4 pounds of birdseed seeds. each day she feeds the robins 1/6 pounds of seedS. for how many days can she feed the Robb
Nataly [62]

Answer:

24

Step-by-step explanation:

since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).

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8 0
3 years ago
PLEASE HELP
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

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6 0
3 years ago
What is the circumference of 11mm circle
Andrews [41]

Answer:

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4 0
3 years ago
3x=5x-9 pls help ?!!?!?!?!?!?!?!?!??!!?1/
lbvjy [14]

Answer: x = 4.5

Step-by-step explanation:

1) Reorder the terms:

3x = -9 + 5x

2) Solving

3x = -9 + 5x

3) Solving for variable 'x'.

4) Move all terms containing x to the left, all other terms to the right.

5) Add '-5x' to each side of the equation.

3x + -5x = -9 + 5x + -5x

6) Combine like terms: 3x + -5x = -2x

-2x = -9 + 5x + -5x

7) Combine like terms: 5x + -5x = 0

-2x = -9 + 0

-2x = -9

8) Divide each side by '-2'.

x = 4.5

9) Simplifying

x = 4.5

6 0
3 years ago
Read 2 more answers
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