All categories

3 years ago

Solve the system of equations.

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Answer:

x=0 y=4

Step-by-step explanation:

12x−5y=−20

y=x+4

substitute y in the first equation with x+4 (the second equation gives you the value of y straight away)

12x-5*(x+4)=-20

12x-5x-20=-20

7x=0

x=0

use this value of x in the second equation

y=0 + 4 = 4

You might be interested in

△ABC ≅ △BAD. Points C and D are placed on different sides of line AB. Make a guess about how lines AC and BD relate. Explain.

Hunter-Best [27]

Answer:

See below

Step-by-step explanation:

It looks like

AB⟂CD
AB and CD bisect each other.

3 0

3 years ago

What is 82×68 this is very hard

zubka84 [21]

Answer:

5576

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate

professor190 [17]

9514 1404 393

Answer:

3.4%

Step-by-step explanation:

The total amount due is ...

A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

33829.50 = 28500(1 +66/12r)

1.187 = 1 +5.5r . . . . . divide by 28500, simplify

0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0

3 years ago

This is VERY URGENT, so 50 points if you answer correctly!

mariarad [96]

Answer:

The circumference is 31.43 cm

The ratio of the circumference to the diameter is equal to 3:1

Step-by-step explanation:

Thed formular for the circumference of a circle is 2 $\pi$ r or $\pi$ d

where d = diameter and r = radius

if d = 10 cm, and $\pi$ = 3.143, then circumference of the circle can be given as

3.143*10 = 31.43 cm

The ratio of the circumference to the diameter can be given as 31.43:10

and that can be given as 3.143:1

or 3:1, for the nearest whole number

3 0

3 years ago