Ask question

Ask question

All categories

skelet666 [1.2K]

3 years ago

8

The length of a rectangle is 9.7cm more then 4 times the width. If the perimeter of the rectangle is 91.4cm, what are the dimens

ions. Show your work

1 answer:

Ksju [112]3 years ago

4 0

The dimensions are Width of the rectangle = 7.2 cm
Length of the rectangle = 4x + 9.7
= 28.8 + 9.7
= 38.5 cm. thats all

You might be interested in

I need help! If you could explain that would help alot

Shkiper50 [21]

Answer:

x = 3. (Refresh if you cannot see the explanation.)

Step-by-step explanation:

$\frac{4x+6}{3} = \frac{x+9}{2}\\\text{Cross multiply.}\\2(4x+6)=3(x+9)\\\text{Distribute.}\\8x+12=3x+27\\\text{Subtract 3x from both sides.}\\5x+12=27\\\text{Subtract 12 from both sides.}\\5x=15\\\text{Divide both sides by 15.}\\x=3\\\\\text{Proof:}\\\\\frac{4x+6}{3}=\frac{x+9}{2}\\\text{Substitute variable.}\\\frac{4(3)+6}{3}=\frac{3+9}{2}\\\text{Simplify numerators.}\\\frac{18}{3}=\frac{12}{2}\\\text{Divide both sides.}\\6=6$

8 0

2 years ago

Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal

sashaice [31]

Answer:

Step-by-step explanation:

a)

$\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx$

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = $\int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}$

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

$\frac{1}{1-p} ((ln2)^{1-p} -1)$

and converges for p ≠1

b) $\int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C$

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

7 0

3 years ago

The space inside a circle is the _ of the circle.

n200080 [17]

Answer:

The space inside a circle is the area of the circle.

The border of the circle is the circumference of the circle.

8 0

2 years ago

Read 2 more answers

Determine the equation for the parabola graphed below.

stiks02 [169]

The generic equation of a parabola is:
f (x) = ax ^ 2 + bx + c
To verify the equation of the parabola you need three points:
f (x) = ax ^ 2 + bx + c
We choose the points:
(x, y) = (- 1,7)
7 = a (-1) ^ 2 + b (-1) + c
7 = a - b + c
(x, y) = (0,5)
5 = a (0) ^ 2 + b (0) + c
5 = c
(x, y) = (- 2,5)
5 = a (-2) ^ 2 + b (-2) + c
5 = 4a - 2b + c
We solve:
c = 5
5 = 4a - 2b + 5
7 = a - b + 5
Rewriting
b = 2a
a-b = 2
Substituting:
a-2a = 2
a = -2
b = -4
The equation of the parabola is:
f (x) = - 2x ^ 2 -4x + 5

3 0

2 years ago

Write the decimal as a fraction in simplest form.

goblinko [34]

your Answer is going to be 13/25

6 0

2 years ago