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4 years ago

13

jeff lives 12 miles east of stan jeff lives 16 miles north of wei what is the shortest distance stan and wei can live from eacho

ther

1 answer:

murzikaleks [220]4 years ago

8 0

The shortest distance would be from both cause they are bath the same length

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Give me a correct answer, My answer probably wrong.

Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. $dy$ with the $y$ term and $dx$ with the $x$ term).

$\frac{dy}{dx}=\frac{x-1}{3y^2}$

$3y^2dy=x-1dx$

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

$y^3=\frac{1}{2}x^2-x+C$

Then here, we just solve for $y$ and we have our general solution.

$y=\sqrt[3]{\frac{1}{2}x^2-x+C}$

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0

3 years ago

Zane received a quote to move his belongings to his new house. The estimate from

erik [133]

9514 1404 393

Answer:

packing: $50 per hour
loading: $75 per hour
packing LCM: 12; loading LCM: 15

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

6P +5L = 675

4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

__

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

2(6P +5L) -3(4P +3L) = 2(675) -3(425)

12P +10L -12P -9L = 1350 -1275

L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

5(4P +3L) -3(6P +5L) = 5(425) -3(675)

20P +15L -18P -15L = 2125 -2025

2P = 100 . . . . simplify

P = 50 . . . . . . divide by 2

The hourly rates are ...

$50 per hour for packing

$75 per hour for loading

7 0

3 years ago

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Peggy is cutting a 20 foot roll of ribbon into 2 inch strips for her mother. If Peggy has already cut 42 pieces, how many more p

weeeeeb [17]

1 foot = 12 inches
20 feet = 20 x 12 =240 in.
42 x 2= 84 in.
240 - 84 = 156 in. already cut
240 - 156 = 84 in
84/2 = 41 pieces are left to be cut

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4 years ago

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Which equation can be used to find the unknown length, a, in this triangle?

konstantin123 [22]

You can use the equation, a^2 + b^2 = c^2

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4 years ago

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A town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the

emmasim [6.3K]

6,900 ft squared. The equation to find the area of a triangle is " a=1/2b×h"
a= area b=base and h=height

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4 years ago

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