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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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Henry counted units to find the distance between two points. For which pair of points could he have done this? Select all that a
zimovet [89]

Answer: point

(5, 3) and (9, 3) (2, 3) and (7, 3)

Step-by-step explanation:

When all the coordinate are plotted on a graph, point (5, 3) and (9, 3) , & point (2, 3) and (7, 3) are found to be in a straight line. So Henry will count some units to find the distance between two points of the coordinate given above.

6 0
3 years ago
Read 2 more answers
if <img src="https://tex.z-dn.net/?f=h%28x%29%3D4x%5E%7B2%7D%20-16" id="TexFormula1" title="h(x)=4x^{2} -16" alt="h(x)=4x^{2} -1
Elan Coil [88]
Answer: h(x) = (2x - 14)^2 - 19

This will take the vertex from (0,-16), the original equation, to (7,-19), the new equation. This demonstrates the x-value increasing by 7, moving right on the coordinate plane, as well as the y-value decreasing by -3, going down on the coordinate plane.
6 0
3 years ago
Find the selling price of the following item.<br> Original price of an iPod: $350<br> Discount 20%
Nata [24]

Answer: 280 dollars

Step-by-step explanation:

if the IPOD is 350,

10% out of 350 is 350/10=35

20% is 35*2=70

the price will be 350-70=280

4 0
2 years ago
An open box is formed from a rectangular piece of cardboard, whose length is 3 inches more than it's width, by cutting 3 inch sq
Feliz [49]
3+264-2=265 inches

Hope this helps!!!!

:) :) :)
4 0
3 years ago
Write the expanded from of h(3k-12.4)
rewona [7]

Answer:

3kh - 12.4h

Step-by-step explanation:

h(3k-12.4)

= h(3k) - h(12.4)

= 3kh - 12.4h

7 0
2 years ago
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