The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed.

What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?


Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

Answer:

1. given

2. vertical angles theorem(1st occurrence)

3. vertical angles theorem(2nd occurrence)

4. Converse of the alternative interior angles theorem

5. Transitive property of congruence

hope this helps

have a good day :)

Step-by-step explanation:

Answers:

========================================================

Explanation:

Answer:

Step-by-step explanation:

90 = 10x+30

60 = 10x

6 = x

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible

3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Answer:

41.6 degrees (i think, sorry if it's not.)

Step-by-step explanation:

if the amount of time from 12:00 pm to 7:00 pm was 7 hours, you're going to need to take into account that you need to lower 50 degrees 7 times by 1.2 degrees. (50 - 1.2 times 7)

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

so, sp is Rs 63000.

hope it helps.

Answer:

Did you attach a screenshot of the question? If so, we cannot see it

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Answer:it's A

Step-by-step explanation:

Answer:

d=7

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

ow sorry i can't understand:( btw thank you for using brainly:))

Answer:

285.25

Step-by-step explanation:

Basically we multiply them as normal numbers so,

815*35 = 28525

Then we take the amount of spots each number had to the RIGHT of the decimal point

81.5 = 1

3.5 = 1

1+1= 2

So: 28525. move to the left 2 times to get 285.25

Answer:

[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]

Step-by-step explanation:

We are given the square root function below:

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.

From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.

Hence,

[tex] \large{y = \sqrt{x - a} }[/tex]

And thus, the domain is

[tex] \large \boxed{x \geqslant a}[/tex]

Since if x < a, the output would become an imaginary number.

From the given function,

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

From the form of sqrt(x-a) where domain is a-term which is 2.

Since a = 2, and thus

[tex] \large \boxed{x \geqslant 2}[/tex]

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

Answer:

1 foot = 0.333333 yards

Explanation:

In order to find the conversion for feet to yards for any other rational number, multiply the foot variable by the 0.333333 yard variable.

Example:

3 · 0.333333 = 0.999999  , aka , three feet of rope equals nine tenths repeating

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

Answer:

400

Step-by-step explanation:

12.50times 32