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:

Step-by-step explanation:

The answer is 19

Answer:

21

Step-by-step explanation:

10^2-8^2=36

square root of 36=6

height=6

6x7x1/2=21

Answer:

10x

Step-by-step explanation:

Given the expression 60x^3- 10x^2+ 30x, we are to find the GCF

First let us find the factors of each terms

60x³ = 6 * (10 * x) * x²

10x² = 1 * (10 * x) * x

30x = 3 * (10 * x)

From the three factors, you can see that 10*x is common to them all. Hence the GCF of the expression will be 10x

The answer is 1/10

This is simple division

The equation is (1/5÷2)

I did my work on a sheet of paper so i know i did this correctly

My explanation of my work:

Keep change flip is the operation used here

So you keep 1/5 ,change the division sign to multiplication and flip the 2/1 into 1/2 so the new equation is (1/5x1/2) the answer to that is 1/10  

Have an amazing day :)

-yO mAmA

[tex]s \: = \: \frac{g + a}{2} [/tex]

Answer:

A -1/2

b 3/-4

C -1/-5

Step-by-step explanation:

Answer: 12 times

Step-by-step explanation:

Answer:

true i think....

Step-by-step explanation:

like terms have the same variables  but don't need to have the same coefficients.

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

[tex]n=5170000[/tex] --- survey

[tex]p = 22.3\%[/tex] --- proportion without computer

So, the actual number is:

[tex]Number = p * n[/tex]

[tex]Number = 22.3\% * 5170000[/tex]

[tex]Number = 1152910[/tex]

[tex]Number \approx 1153000[/tex]

Hence: (B) is correct

Answer:

We have, 14% × x = 15

or, 14100 × x = 15

Multiplying both sides by 100 and dividing both sides by 14,

we have x = 15 × 10014

x = 107.14

If you are using a calculator, simply enter 15×100÷14, which will give you the answer.

Answer:

Step-by-step explanation:

Volume of the cone

Height =2 √3

Base = 2cm

Answer:

126.5

Step-by-step explanation:

The polygon is made up of a rectangle and a triangle.

rectangle: 11 cm by 8 cm

triangle: base = 11 cm; height = 7 cm

area = LW + bh/2

area = 11 cm * 8 cm + (11 cm)(7 cm)/2

area = 88 cm^2 + 77/2 cm^2

area = 88 cm^2 + 38.5 cm^2

area = 126.5 cm^2

Answer:

6 3/4

Step-by-step explanation:

3 time 2 1/4= 6 3/4

Answer:

The additional information necessary is option;

D. [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Step-by-step explanation:

From the given figure, we have;

Given that ML ≅ MP,

The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg

To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles

For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°

With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or  [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex].

Answer: 44 m

Step-by-step explanation:

Given

The area of the trapezium is [tex]A=480\ m^2[/tex]

Distance between parallel sides [tex]h=15\ m[/tex]

One of the parallel sides is [tex]20\ m[/tex]

Suppose the other parallel side is [tex]x[/tex]

The area of the trapezium is

[tex]A=\dfrac{1}{2}\times [\text{Sum of parallel sides}]\times h[/tex]

Put values

[tex]\Rightarrow 480=\dfrac{1}{2}\times [20+x]\times 15\\\\\Rightarrow 480\times 2=300+15x\\\Rightarrow 960-300=15x\\\Rightarrow x=44\ m[/tex]

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.

Answer and Step-by-step explanation:

The actual answer is 348.

4 rectangles with area 60 each, which, when added together, equals 240.

1 square with area 36.

Each triangle face is 18 each, so 72.

Add those together and the answer is 348 [tex]ft^2[/tex] :).

#teamtrees #PAW (Plant And Water)

Answer:

(x-4)(x+5)

Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)

Answer:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 2.

The greatest common factor of 18 , 24 and 40 is HCF = 2

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF be represented as H

Let the first number be represented as p

Now , the value of p = 18

Let the second number be represented as q

Now , the value of q = 24

Let the third number be represented as r

Now , the value of r = 40

And , the factors of 18 = 1, 2, 3, 6, 9 and 18

The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40

So , the HCF of 18 , 24 and 40 is the number 2

Hence , the HCF is 2

To learn more about HCF and LCM click :

https://brainly.com/question/20049151

#SPJ2

Answer:

ok

Step-by-step explanation:

Answer:

Hello! the answer is 39 and 32

Step-by-step explanation:

To find the median we need to reorder the numbers from lowest to highest:

14,15,39,42,48

The one in the middle is the median! If there happens to be an even number, take the two middle numbers add them, together and divide them by 2.

To find the mean (also know as the avergae) we need to add all the numbers together and divide by the number of values that are present:

42+15+14+48+39 = 158

158/ 5 = 31.6 or 32

Hope this helps!

Answer:

85*

Step-by-step explanation:

Its  really complicated but manage to find it

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope = m

m = y2-y1  /  x2 - x1

m = (-4) - 7  / (-6) - (-4)

m = -11 /  (-6) + 4

m = -11 / -2

m = 11/2

:)

Answer:

(√6x√20) / √3 = 2√10

Step-by-step explanation:

hello :

(√6x√20) / √3 =√2x√3 x√4x√5 / √3

because : √6 = √2x√3 and √20= √4x√5 = 2x√5

now simplify by √3 :(√6x√20) / √3 =√2x2x√5

(√6x√20) / √3 = 2√10 so : a =2 and b =10