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3 years ago

Help please I need it asap

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Answer:

<2 ~= < 4 - Vertical Angles Theorem

<2 ~= <8 - Alternate Exterior Angles

<4 ~= <8 - Corresponding Angles Theorem

line I || line m - Transitive Property

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Find the solution to the differential equation dx/dy+y/3=0 subject to the initial conditions y(0)=12.

ycow [4]

$\dfrac{\mathrm dx}{\mathrm dy}+\dfrac y3=0\iff\mathrm dx=-\dfrac y3\,\mathrm dy$
$\implies\displaystyle\int\mathrm dx=-\frac13\int\mathrm y\,dy$
$\implies x=-\dfrac16y^2+C$

Given that $y(0)=12$ , we have

$0=-\dfrac16(12)^2+C\implies C=24$

So the particular solution to the initial value problem is

$x=-\dfrac16y^2+24\iff y^2=144-6x$

8 0

2 years ago

7th grade girl!<br><br> *(urgent, please help! )*

GenaCL600 [577]

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

7 0

3 years ago

I need an answer...............................

navik [9.2K]

Answer:

8 i think

Step-by-step explanation:

4 0

2 years ago

the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large

Dmitriy789 [7]

Answer:

The volume of the similar prism is $336\ cm^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

$z^{3}=\frac{x}{y}$

In this problem we have

$z=2$ -----> the scale factor

$y=42\ cm^{3}$

substitute and solve for x

$x=42(2^{3})=336\ cm^{3}$

3 0

2 years ago

Graph the following equations on the graphs below. <br> ( GRAPHING PAPER NEEDED, NOT A WEBSITE )

kodGreya [7K]

First, you want to identify the slopes and y-int.

Equation 1 = y = -2x + 2

Slope = -2

y-int. = 2 or (0,2)

Equationt 2 = y = 2x + 3

Slope = 2

Y-int. = 3 or (0,3)

To graph, first plot the y-intercepts. Then do the slopes.

Slope = -2

Down 2 over 1 (to the right)

Slope = 2

Up 2 over 1 (to the right)

Then just connect the dots in a line!

5 0

2 years ago