Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
o 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm

i think it's a integer

Answer:

x = -5.5 or -5 1/2

Step-by-step explanation:

Solution :

We have been given a parametric curve :

x = sin t , y = cos t , 0 < t < π

In order to determine concavity of the given parametric curve, we need to evaluate its second derivative first.

Therefore,

[tex]$\frac{dx}{dt} = \cos t, \ \frac{dy}{dt}= - \sin t$[/tex]

[tex]$\therefore \frac{dy}{dx}= \frac{- \sin t}{\cos t}$[/tex]

        [tex]$=- \tan t$[/tex]

Taking double derivatives of the above equation:

[tex]$\frac{d^2y}{dx^2}= - \frac{d}{dx}(\tan t) $[/tex]

      [tex]$= - \sec^2 t \frac{dt}{dx}$[/tex]

     [tex]$= - \sec^2 t \left(\frac{1}{\cos t}\right)$[/tex]

    [tex]$= - \sec^3 t$[/tex]

For the concave up, we have

[tex]$\frac{d^2y}{dx^2} > 0$[/tex]

[tex]$\Rightarrow - \sec^3 t > 0$[/tex]

∴ [tex]$t \ \epsilon \left( \frac{\pi }{2}, \pi \right)$[/tex]

For the concave down, we have

[tex]$\frac{d^2y}{dx^2} < 0$[/tex]

[tex]$\Rightarrow - \sec^3 t < 0$[/tex]

[tex]$t \ \epsilon \left( 0,\frac{\pi }{2} \right)$[/tex]

Answer:

26[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The required product of expression  5 × 5 1/3 is given as 80/3 or 26 1/3.

Given that, to determine the product of 5 x 5 1/3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
= 5 × 5 1/3,
= 5 × 5 + 1 / 3
= 5 × 16 / 3
= [5 × 16]
= 80 / 3
= 26 1 /3

Thus, The required product of 5 × 5 1/3 is given as 80/3 or 26 1/3.

Learn more about simplification here:

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Answer:

1/2

Step-by-step explanation:

it is

Answer:

[tex]x=-25[/tex]

(None of the answer choices you've provided match the correct answer.)

Step-by-step explanation:

Given:

[tex]-4x=100[/tex]

To find the solution (what [tex]x[/tex] equals), we must divide both sides of the equation by the coefficient of

[tex]x=25[/tex]

Therefore, the solution of [tex]-4x=100[/tex] is [tex]x=-25[/tex].

-

We can check our work by substituting the solved value of [tex]x[/tex] into the given equation:

[tex]-4x=100[/tex]

[tex]-4(-25)=100[/tex]

[tex]100=100[/tex]

Since both sides of the equation are equal to each other, our solution is correct!

The solution to the equation -4x = 100 is x = -25.

The correct option is x = -25.

A pair of algebraic equations with the equal symbol (=) in the center and the same value is referred to as an equation.

To solve for x, we need to isolate x on one side of the equation.

-4x = 100

We can isolate x by dividing both sides of the equation by -4:

x = -100 / 4

x = -25

Therefore, the solution to the equation -4x = 100 is x = -25.

To learn more about the equation;

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Answer:

112.5 minutes

Step-by-step explanation:

Working together, Daniel and Donnie can clean the llama pen in 50 minutes. On his own, Daniel can clean the pen in 90 minutes.

Let the number of minutes it takes Donnie to clean his Ilama pen be represented by: x

Hence, we have the expression:

1/90 + 1/x = 1/50

The Lowest Common Denominator for the left hand side = 90x

Hence:

x + 90/90x = 1/50

Cross Multiply

50(x + 90) = 90x

50x + 4500 = 90x

Collect like terms

4500 = 90x - 50x

4500 = 40x

Divide both sides by 40

x = 4500/40

x = 112.5 minutes

Therefore, it takes Donnie 112.5 minutes to clean the llama pen on his own.

i cant see anything but dashes..

Answer:

2.50+1.75y=x

Step-by-step explanation:

it depends on how much games you play

Answer:

the common denominator for the first question is 36

So 36, to get that you multiply 4 by 9 and 9 by 4.

you’d get

3 4/36 + 2 9/36

you’d get 5 13/36

That bai scaly answers both parts

Answer:

5 13/36 or 193/36 depending on what the computer wants you to answer.

Step-by-step explanation:

For Part A:

Put in 5 13/36 as your answer after you find out or 193/36.

For Part B:

Multiply the first fraction by 4 and the second fraction by 9 to get 36 for each denominator.  Transform the whole numbers by multiplying 36 to each number and adding it to the numerator, you would get 193 as your top numerator as a result, if you are converting to whole numbers then convert it to 5 13/36.

Answer:

he is right its A

Step-by-step explanation:

Answer:

y = -8x/2 - 5

Step-by-step explanation:

slope is -8/2 and the y intercept is -5

Answer:

[tex]\boxed{f\left(\frac{3}{4} \right) = \frac{7}{4}}[/tex]

.

Step-by-step explanation:

[tex]f(x) = 2x + \frac{1}{4}[/tex]

.

[tex]f\left(\frac{3}{4} \right) = 2(\frac{3}{4} ) + \frac{1}{4}[/tex]

[tex]f\left(\frac{3}{4} \right) = \frac{6}{4} + \frac{1}{4}[/tex]

[tex]f\left(\frac{3}{4} \right) = \frac{6 + 1}{4}[/tex]

[tex]f\left(\frac{3}{4} \right) = \frac{7}{4}[/tex]

Answer:

33

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Since 5 people share 1/4 gallon, this can be converted into 1/4 times 1/5. This gives 1/20 for everbody. Sheila gives hers to Maria, which means Maria now has 1/20 plus 1/20, which is 2/20, which can be simplified to 1/10.

Answer: inequalities are x + y ≤ 13 and 4x + 7y ≥ 65

Step-by-step explanation:

Given: Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week.

We have to write and graph the system of inequalities to represent this situation.

Let she babysits for x hours per week

and she works as a tutor for y hours per week

Then given she is allowed to work for 13 hours per week.

this inequality is stated as x + y ≤ 13

Mary babysits for $4 per hour if she babysits for x hours then she get 4x

She also works as a tutor for $7 per hour if she teach for y hours then she get 7y

also, she wants to make at least $65 dollars.

Then, this inequality is represented as 4x + 7y ≥ 65

(sorry if im wrong)

:(

Answer:

1

Step-by-step explanation:

Assuming your graph has a line with a starting and ending point, and more than two points, the relative minimum is the lowest part of your line where it changes direction. It is the point where the function changes from increasing to decreasing. The opposite is true for the relative maximum.

b and f are relative maximums. a c e g are neither.

Answer:

Step-by-step explanation:

Substitute z for -1

Negative times negative=positive because the two signs are cancelled out.

-52 * -1 = 52

Answer:

it would take a total of 22.52 years

Answer:

40 years

Step-by-step explanation:

Answer:

The bus was traveling faster.

Step-by-step explanation:

Remember; Distance = Speed * Time, or D = S * T

Steps for each problem;

- set up the equation

-substitute in the given values

- solve

Car; Distance = Speed * Time

225 = Speed * 15

15 mps = Speed

Bus; Distance = Speed * Time

500 = Speed * 25

20mps = Speed

Car ... Bus

15 < 20

The bus was traveling faster.

Answer:

Step-by-step explanation:

9x - 4 + 5x + 16 = 180

14x + 12 = 180

14x = 168

x = 12

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

We know that [tex]\ell\parallel m[/tex].

Then by the properties of a transversal cutting a pair of parallel lines, we can write:

[tex](9x-4)+(5x+16)=180[/tex]

The property used here is the Consecutive Angles Property. The two consecutive angles are supplementary.

Now, we can solve for x. Rearrange:

[tex](9x+5x)+(-4+16)=180[/tex]

Combine like terms:

[tex]14x+12=180[/tex]

Subtract 12 from both sides:

[tex]14x=168[/tex]

Divide both sides by 14:

[tex]x=12[/tex]

So, the value of x is 12.

Answer:

B. vertex

Step-by-step explanation:

Vertex, Vertices. each endpoint of a side of a polygon. Convex. a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon.

Also can u pls mark me brainliest

Answer:

the second one is 504 that is all I know sorry

Answer:

#1      45√ 5      

#2  504

#3  X1=-15, X2=1

Step-by-step explanation:

9 √5^2 x 5

9 √5^2  √5

9 x 5 √5

45 √5

The order of the factors does not matter.

So (a-b)(a+b) is the same as (a+b)(a-b)

This is known as the difference of squares factoring rule.

You can FOIL out (a-b)(a+b) and you'd get a^2+ab-ab-b^2. Note how the ab terms cancel leaving us with a^2-b^2. This confirms we have the correct factorization.

Step-by-step explanation:

When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.

Plz Mark me as brainlist

Answer:

D

Step-by-step explanation:

edg2021 i got it right

Answer:

It's easy

Step-by-step explanation:

(-12x)÷(-12) 6x

➡ (-12x) ÷ (-2)

= -12x /(-2)

= 6x

__________________________

Answer:

modulus just changed negative to positive so 5 minus 3 = 2