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Sholpan [36]
1 year ago
5

Helppp!

Mathematics
1 answer:
lilavasa [31]1 year ago
5 0

Answer:

It's the the 4th one. 6.3.3

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The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
a = 400 yd^2</span>

4 0
3 years ago
Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
Margaret [11]

Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

The auxiliary equation will give us;

m²-8m = 0

m(m-8) = 0

m = 0 and m-8 = 0

m1 = 0 and m2 = 8

Since the value of the roots are real and different, the complementary solution (yc) will give us

yc = Ae^m1x + Be^m2x

yc = Ae^0+Be^8x

yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

Substituting the differentials into the general DE to get the constants we have;

0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

y = A+Be^8x-x/8

3 0
3 years ago
PLEASE HELP ASAP FOR BRAINLIEST<br><br> Solve the following one step equation.<br><br> -6 = b/18
FromTheMoon [43]
Answer is -1/3

you would divide both sides by 18 to get the variable on its own and that would leave you with -6/18 and so you have to simplify it by dividing the numerator and denominator by the greatest common factor (6) to get your remaining simplified fraction of -1/3
5 0
3 years ago
Which function is graphed? ​
Gennadij [26K]

Answer:

x-intercept=(-1,0) y-intercept =(0,-3)

Step-by-step explanation:

6 0
2 years ago
How do you solve st+3t=6
bonufazy [111]
You will factor out the common factor of t if you are solving for t. you will then divide both sides by (s+3) to make t the subject of the formula. for this question you can only get t in terms of s.
so:
st+3t=6
t(s+3)/(s+3)=6/(s+3)
t=6/(s+3)

if you are required to solve for s then you are going to subtract 3t from both sides. you can factorise 6-3t .you will then divide both sides by t to isolate s.for this question you can only get s in terms of t.so:

st+3t-3t=6-3t
st/t=2(3-t)/t
s=2(3-t)/t
4 0
3 years ago
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