Ask question

Ask question

All categories

2 years ago

15

the length of a rectangle is 4a + 5, the width of the same rectangle is 2a -3 if the perimeter of the rectangle is 76 what is th

e value of a?

1 answer:

viktelen [127]1 year ago

7 0

Answer:

Here

perimeter=76

length =4a+5

breadth=2a-3

we know,

perimeter=2(length+breadth)

76=2(4a+5+2a-3)

76=2(7a+2)

76=14a+4

76-4=14a

72=14a

72÷14=a

a=5.14

You might be interested in

Convert 8.132132132 … to a rational expression in the form of a over b, where b ≠ 0.

Deffense [45]

$8.13213213213232....=8+\sum_{i=1}^{\infty}\frac{132}{10^{3i}}=8+\frac{\frac{132}{10^3}}{1-\frac{1}{10^3}}=8+\frac{132}{999}=\frac{8124}{999}$

7 0

3 years ago

Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

6 0

3 years ago

Read 2 more answers

Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0

ivann1987 [24]

Answer:

I think -4

Step-by-step explanation:

4 0

2 years ago

A factory makes a triangular rug the rug is an isosceles triangle

miskamm [114]

A isoceles triangle has two equal sides

7 0

3 years ago

Julia takes out a loan to buy a new car. She borrows £8000 over 5 years at a simple interest rate of 10%.

Bumek [7]

Answer:

here,

principle(p)=£8000

time(t)=5 years

rate(r)=10%

now,

Interest=PTR/100

=8000 x 5 x 10/100

=£4000

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers