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3 years ago

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Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

A) 5x-7y=42

Step-by-step explanation:

We know that 5 x 7 = 35 then add 7 = 42

We divide 5 and 7 by 5/7

5/ 5/7 = 0.1

7/ 5/7 = 0.2

We find 0.1 = 1/10 and we know that 1/10 of 35 is 3.5

We find 0.2 = 2/10 and we know that 2/10 of 35 is 7 so the answer 7 matches.

We then use 7 for y and keep 5 for x.

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A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0

2 years ago

Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)

kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0

2 years ago

How do I uses these

andrezito [222]

Answer:

um i dont know

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The diagram shows a square divided into strips of equal width. Three strips are black and two are grey. What fraction of the per

astra-53 [7]

2/5 at the top nd bottom, but 0/5 on the sides. So 2/5 + 0/5= 1/5

8 0

2 years ago

(m 5/6) (m1/6) ^7 = m^x

nadezda [96]

Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

3 0

2 years ago