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iris [78.8K]
3 years ago
11

What is the equation of the line perpendicular to y=2/3x+1 that passes through the point (12, -6)?

Mathematics
1 answer:
bixtya [17]3 years ago
5 0

Answer:

y= -3/2x + 12

Step-by-step explanation:

When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).

Slope originally=2/3

New slope= -3/2

Next we will use the point slope equation

y-y1=m(x-x1)

y1=y value

m=slope

x1=x value

y--6= -3/2(x-12)  Since you have y minus negative 6 you get to change it to y+6

y+6= -3/2(x-12)  Now distribute your slope to both terms inside the parenthesis.

y+6= -3/2(x) -3/2(-12)

y+6= -3/2x +18    Finally subtract 6 from both sides.

  -6             -6

y= -3/2x + 12

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The store sells walnuts for $2.95 per pound. Corey bought 2.4 pounds of walnuts. Before tax, how much will the walnuts cost?
stepladder [879]

Answer:

$7.18

Step-by-step explanation:

Multiply the number of pounds bought by the cost of one pound.

 (2.4 pounds)($2.99 per pound) = $7.176 ≅ $7.18

7 0
2 years ago
Read 2 more answers
Pls help in a middle of an exam
KIM [24]

Answer:

\frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

Step-by-step explanation:

\frac{2x}{4x^2-9} + \frac{3}{2x^2+x-3} can be simplified to:
\frac{2x}{(2x-3)(2x+3)}+\frac{3}{(2x+3)(x-1)}

Make them have common denominators so:
\frac{(2x)(x-1) +3(2x-3)}{(2x-3)(2x+3)(x-1)}

Simplify:
\frac{2x^2-2x+6x-9}{(2x-3)(2x+3)(x-1)} = \frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

I don't think you can simplify that fraction further so that's the answer.

3 0
2 years ago
A person standing in the ground throws a ball onto a flat rooftop. The ball rolls around for several seconds. Then the ball fall
natali 33 [55]

Answer:

  • Graph D

Step-by-step explanation:

According to the question, the correct graph is D.

It's not A because, the ball is thrown after some pause and the ball doesn't roll on the roof, falls immediately.

It's not B or C because the ball goes up after reaching the roof but should fall down.

6 0
2 years ago
In 1963, the United States Postal Service started using ZIP (Zone Improvement Plan) codes. Each ZIP code is a sequence of five d
bija089 [108]
Here is how you find the number of possible U.S Zip codes. 
<span>Take note of this: There are 10 1 digit numbers: 0,1,2,3,4,5,6,7,8,9.
</span>And we have 5 slots. So in each slot, there can be 10 possible numbers. 
So let's put 10 in each blank slot. 
10, 10, 10, 10, 10.
Therefore, the final answer would be 100,000. There are 100,000 possibilities of different U.S zip codes. Hope this answer helps.
5 0
3 years ago
Cuál es el perímetro del triángulo amarillo?​
Maslowich

Answer:

a/2 + b unidades

Step-by-step explanation:

Mi primera lengua es ingles (tienes paciencia por favor). Se da que la parte inferior es a/2 unidades. La parte anaranjada tiene un lado que es b/2, entonces todos los lados son b/2 tambien. Entonces el lado del derecho es b/2. La izquierda es b/2 tambien ( se da eso). Entonces el perimetro del triangulo amarillo es a/2 + b/2 + b/2 = a/2 + b unidades.

5 0
3 years ago
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