which of the following differential equations have x^2-4y^2=8 as a solution?
a) dy/dx = 4xy
b) dy/dx = 4x/y
c) y dy/dx = x/4
d) dy/dx = -x/4y

Answer:

15

Step-by-step explanation:

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

c² = 225

[tex]\sqrt{c^2} =\sqrt{225}[/tex]

c = 15

weekly = 15 week = 10

[tex]10 \times 15 = 150 + 70 = 220[/tex]

Justin will have $220 amount in his account

Answer:

188.24  (rounded)--- 188.2

Step-by-step explanation:

You want to first find the area of all the the different shapes you have...

you have 2 semicircles   A=  πr²/2    (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)

you have a rectangle A= b*h

you have a triangle A = b*h/2

Semicircles:  A= πr²   =     (3.14) 4²   =  (3.14*16)           =      50.24

rectangle:  A = b*h     =      12*8              =      96

Triangle:   A = b*h/2         =   12 * 7/2         =      84/2        =       42

then you add them up

50.24 + 96 + 42

= 188.24

Answer:

50

Step-by-step explanation:

Angle 1 is inside a triangle. Angles in a triangle add up to 180.

Angle 1 = 180 - 90 - 40 = 50.

Angle 2 is on a straight line (180 degrees), shared with angle 1. Therefore, angle 2 is 180 - Angle 1 = 130. Angle 3 and 4 can be calculated the same way Angle 2 was calculated (1=3, 2=4).

Angle 5 is 180 - 90 - Angle 3 which is 180-90-50 which is 40.

Angle 6 is 180 - Angle 5 = 180 - 40 = 140.

Angle 8 is the same as Angle 6

Finally, Angle 7 is 180-90 = 90.

Hope that helped!

Answer:

282

Step-by-step explanation:

56+21 = 78

360-78

Step-by-step explanation:

the sum of all interior angles in triangle is 180°

180-(56+21)=103°

the third angle is 103°

Answer:

Volume: 30

SA: 62

LA: 42

Step-by-step explanation:

Volume: V=l*w*h= 3*2*5= 30

SA: 2(lw+lh+wh)= 62

LA= 2h(l+w)= 42

Answer:

multiply each side for the answer

Step-by-step explanation:

:> hope you pass!

Answer:

x = 7.55

Step-by-step explanation:

Pythagorean Formula:

a² + b² = c²

Given:

a = x

b = 8

c = 11

Work:

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121-64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.55

Answer: i hope these is the answer 900

Step-by-step explanation:

Answer:

900 trucks expected.

Step-by-step explanation:

3600/12 = 300

3 * 300 = 900

9 * 300 = 2700

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

16x - 4y = - 20 ( subtract 16x from both sides )

- 4y = - 16x - 20 ( divide terms by - 4 )

y = 4x + 5 ← in slope- intercept form

The equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction.

The slope of a straight line between two points says [tex](x_1,y_1),(x_2,y_2)[/tex] and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘[tex]m[/tex]’.

As we know that, the equation of a line in slope- intercept form is

[tex]y = mx + c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

So,

[tex]16x - 4y = - 20\\\\-4y=-20-16x\\\\-4y=-(16x+20)\\\\4y=16x+20\\\\y=\frac{16x}{4}+\frac{20}{4}\\\\y=4x+5[/tex]

Hence, the equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

To know more about the slope of line

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Answer and Step-by-step explanation:

We need to solve for m, and we do that by adding together the measure of angles SWT and TWV, and then equal them to 90.

36 + 6m + 6 = 90

Add 36 to 6.

42 + 6m = 90

Now, subtract 42 from both sides.

6m = 48

Now, divide each side by 6 to get m.

m = 8

So, we get the value of m to be 8.

#teamtrees #PAW (Plant And Water)

Answer:

44.1°C

Step-by-step explanation:

This tetratomic vapor condenses to liquid white phosphorus which freezes at 44.1°C to solid white phosphorus, a soft, waxy, colorless material.

Answer:

Three

Step-by-step explanation:

So to count the number of faces, you look for how many flat sides the the figure  has. Looking at the shape, you see that it has a face on top, on the bottom, to the left and to the right, on the front and at the back.

The given figure has five faces, option D is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a triangular prism

A triangular prism is a three-dimensional geometric shape that has two congruent triangular bases and three rectangular faces connecting them. Since each triangular base has one face, there are two faces that are triangular.

Additionally, there are three rectangular faces that connect the triangular bases.

Therefore, a triangular prism has five faces in total.

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Answer:

what triangle???

Step-by-step explanation:

Answer:

this so hard

Step-by-step explanation:

Answer:

Seismic waves carry energy from an earthquake away from the focus, through Earth's interior, and across the surface. ... Surface waves- when S and P waves reach the surface they become surface waves. Surface waves move slower than P and S waves but they can produce severe ground movements.

Step-by-step explanation:

can i has brainliest

Answer:

I think it is epicenter

Step-by-step explanation:

Answer:

x is 2....

Hope it helps!!!

Answer:

2880

Step-by-step explanation:

volume formula: l×w×h

multiply all and you get 2880

Answer:

The answer is 20 feet and/or 34560 inches

Answer:

$10.5 per dozen.

Step-by-step explanation:

$3.50 x 3 = $10.5

4 = 3.50 4 x 3 = 12 = $10.5

Answer:

-224t

This is all you had to do and hear is the annswer

Answer: 8.21, 8.7, 8.84, 9.1

Step-by-step explanation:

Answer:

y    0.4

x    0.3

Step-by-step explanation:

Answer:

Area of sector = 132.78 cm² (Approx.)

Step-by-step explanation:

Given:

Angle created by sector = 90°

Diameter of circle = 13 centimeters

Find:

Area of sector

Computation:

Radius of sector = Diameter of circle / 2

Radius of sector = 13 / 2

Radius of sector = 6.5 centimeters

Area of sector = [θ/360]πr²

Area of sector = [90/360][22/7][13]²

Area of sector = [1/4][22/7][169]

Area of sector = [0.25][3.1428][169]

Area of sector = 132.78 cm² (Approx.)

Explanation: The power rule tells us that when we have a power taken to another power, we keep the base the same and we multiply the exponents.

So we have p¹⁰ which is our final answer.

Answer:

m∠B = 49.4°

Step-by-step explanation:

Use the law of cosines to get side c, and then the law of sines to get angle B

[tex]c^{2} = a^{2} + b^{2} - 2ab cos C\\ = 4^{2} + 5.8^{2} - 2(4)(5.8) cos 99\\ = 16 + 33.64 + 7.25855\\ = 56.25855\\c = \sqrt{56.25855} = 7.543[/tex]

sin C/c = sin B/b

sin 99/7.543 = sin B/5.8

sin B = 5.8 sin 99/7.543

        =  .75945

m∠B = arcsin .75945 = 49.4°

Answer:

3√3ut³

Step-by-step explanation:

3√3ut³ is the correct answer

Answer:

C. (x - 3)² = 1

Step-by-step explanation:

Given;

x² - 6x  + 8 = 0

Using completing the square method, the equation above is solved as follows;

x² - 6x  = - 8

Half the coefficient of 'x' (-6), square the result and add it to both sides of the equation;

Half of coefficient of x (-6) = ¹/₂ (-6)  = -3

x² + (-3)² = -8 + (-3)²

(x - 3)² = -8 + 9

(x - 3)² = 1

Thus, the correct option is 'C'

C. (x - 3)² = 1