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3 years ago

Write the equation of a line in point slope form that is PARALLEL 5x + 2y = 1 that passes through the point (- 2, - 3) .

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

Answer:

y = -5/2x - 13

Step-by-step explanation:

First, we have to find the slope of the original equation

Subtract 5x from both sides

5x + 2y = 1

- 5x - 5x

2y = -5x + 1

Divide both sides by 2

2y/2 = (-5x + 1)/2

y = -5/2x + 1/2

The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation

y = -5/2x + b

Plug in the given x and y

-3 = -5/2(-2) + b

-3 = 10 + b

Subtract 10 from both sides

-3 = 10 + b

- 10 - 10

b = -13

This makes our equation: y = -5/2x - 13

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One of the largest pumpkins ever grown weighed about 3/4 ton.How many pounds did the pumpkin weigh?

atroni [7]

1500 pounds since a ton I 2000 just multiply it by 3/4

6 0

3 years ago

A box company is designing a new rectangular gift container. The marketing department has designed a box with a width 2 inches s

Sladkaya [172]

Volume of the box= 56 cubic inches
let x is the length, then
width =2 inches shorter than its length = x - 2
height = 3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
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3 0

3 years ago

The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sa

Kamila [148]

Answer:

$159.95

Step-by-step explanation:

Let price of trumphet be defined by $x$

price of clarinet = $139.95

Number of clarinets sold = 19

Earning through clarinets' sale = $19*139.95 = 2659.05$

Total earning of store = $4578.45

Earning through trumphets' sale = $4578.45 - 2659.05 = 1919.40$

price of one trumohet = $\frac{1919.40}{12} = 159.95$

price of clarinet = $159.95

7 0

3 years ago

(5x-4) (3x+2) multiply

ivolga24 [154]

Answer:

15x^2-2x-8

Step-by-step explanation:

i did it on a paper just don't want to write cause its going to be to much to write hope this helps good luck

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -

raketka [301]

The first step to solving this equation is to change the signs on both sides of the equation
y = - $\frac{2}{5}$ x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = - $\frac{2}{5}$ x + 3, x ∈ R
Let me know if you have any further questions
:)

5 0

3 years ago