Tools -
Question 6
The graph of a function includes the points (4, 5) and (21, 39).
What is the rate of change of the function?
А 34
B
0.5
С
2
O O
D
17

Answer:

-√2

Step-by-step explanation:

C on Edg

Answer: - square root 2

Step-by-step explanation: c on edge

Answer:

4-6x=y2

Step-by-step explanation:

Answer:

The answer is 578.57

Step-by-step explanation:

your welcome

Answer:

[tex]\sin\,\theta =-\frac{\sqrt{21} }{5}[/tex]

[tex]\tan\,\theta =\frac{\sqrt{21} }{2}[/tex]

[tex]\sec\,\theta = \frac{-5}{2}[/tex]

[tex]cosec\,\theta =\frac{-5}{\sqrt{21} }[/tex]

[tex]\cot\,\theta =\frac{2}{\sqrt{21} }[/tex]

Step-by-step explanation:

[tex]\cos\theta =\frac{-2}{5}<0\\sin\theta <0[/tex]

As both [tex]sin\,\theta<0,\,\cos\,\theta <0[/tex],

[tex]\theta[/tex] lies in the third quadrant.

In the third quadrant,

[tex]\sin\theta<0,\,\cos\,\theta <0\,,\,\sec\,\theta<0,\,cosec\theta<0,\,tan\,\theta>0,\,cot\,\theta>0[/tex]

[tex]\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}[/tex]

[tex]\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}[/tex]

[tex]\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}[/tex]

[tex]\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }[/tex]

[tex]\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }[/tex]

Answer:

X - 3 = 5

Step-by-step explanation:

X decreased by 3 means X-3.

If X - 3 is 5, then it can be written as X - 3 = 5

Answer: 8

Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.

Answer:

20.x≤8

Step-by-step explanation:

20.X+5≤13

x≤13-5

x≤8

Answer:

3x + 5y + 2

Step-by-step explanation:

Given:

4x + 5y - ( x - 2 )

Find:

Subtract value

Computation:

4x + 5y - ( x - 2 )

4x + 5y - x + 2

3x + 5y + 2

Answer:

x=5

Step-by-step explanation:

Hello There!

The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180

so we can create an equation to solve for x

180=80+20x

step 1 subtract 80 from each side

80 - 80 cancels out

180-80=100

100=20x

step 2 divide each side by 20

100/20=5

20x/20=x

we´re left with x=5

Answer:

what do we have to do in this?????

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

Answer:

Step-by-step explanation:

2 angles are added to result in = 180°

therefore

180 = 97 - 3x + 69 + 5x

180 = 166 + 2x

2x = 180 - 166

2x = 14

x = 14 ÷ 2

The value of x = 7

______________

#IndonesianPride

- kexcvi

Answer:

2

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

f(-3) = 4(-3) - 7 = -12 - 7 = -19

g(4) = -7(4) + 4 = -28 + 4 = -24

-19 + (-24) = -43

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

https://brainly.com/question/28170201

#SPJ7

Your question is confusing. The image of the question is attached below.

Answer:

5/11

Step-by-step explanation:

I hope this helps a bit.

Answer:

The answer is below

Step-by-step explanation:

Two triangles are similar if the ratio of their corresponding sides are in the same proportion.

1. ΔWXY is isosceles with legs WX and WY      (given)

2. ΔWVZ is isosceles with legs WV and WZ     (given)

3. WX =  WY, WV = WZ  (definition of an isosceles triangle)

4. [tex]\frac{WX}{WY}=1\\\\[/tex]

[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)

5. (WZ)(WX) = (WY)(WZ)       (multiplication property)

6. (WZ)(WX) = (WY)(WV)  (substitution property).

7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex]      (property of proportion)

8. ∠W = ∠W (reflexive property)

9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)

Answer:

♣:  

✔ WX = WY; WV = WZ

♦:  

✔ substitution property

♠:  

✔ SAS similarity theorem

Step-by-step explanation:

just took it :)

Answer : b: How many push-ups can a sixth grade girl do? and d:What are the weights of the sixth grade boys?

Answer:

How much do sixth grade boys weigh?

 How many push-ups can a sixth grade girl do?

Step-by-step explanation:

A statistical question is one that has a variable answer.

Determine which questions are statistical questions and can be answered with the data gathered in the fitness test.

The questions "How many sixth grade students are there?" and "What is the shortest height of the sixth grade students?" can be answered with the data gathered in the fitness test. However, they do not have variable answers, so they are not statistical questions.

The questions "What are the heights of the eighth grade girls?" and "How many chin-ups can a sixth grade boy do?" do have variable answers, so they are statistical questions. However, these questions cannot be answered with the data gathered in the fitness test.

The questions "How much do sixth grade boys weigh?" and "How many push-ups can a sixth grade girl do?" do have variable answers, so they are also statistical questions. These questions can be answered with the data gathered in the fitness test.

Hope I helped.

Answer:

Fraction: 10 and 5/8

Step-by-step explanation:

17 × 5/8

85/8

Answer:[tex]10\frac{5}{8}[/tex] or 10.625

Step-by-step explanation:

First of all, note that 17 is the same as 17/1 since 17 divided by 1 is 17. Therefore, start by setting up the problem like this:

[tex]\frac{17}{1} X \frac{5}{8}[/tex]

Multiply the numerators together (17 x 5 = 85) and multiply the denominators together (1 x 8 = 8) and make it into one fraction like so:

[tex]\frac{85}{8}[/tex]

Convert the improper fraction above to a mixed number to get the answer:

[tex]=10\frac{5}{8}[/tex]

Answer:

y = 10x + 15

Step-by-step explanation:

y +25 = 10(x+4)

y = 10x + 40 - 25

y = 10x + 15

Answer:

y < 2x -3

Step-by-step explanation:

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

Answer:

26

Step-by-step explanation:

You take the 65 plyers multiplied by the 40 % then you get 2600. You take that divided by 100 and get 26

Answer: 21 degrees

Step-by-step explanation:

In the evening, the temperature is 28 degrees and by midnight it has dropped 31 degrees lower, the temperature by midnight will be:

= 28° - 31°

= -3°

Between midnight and 4 am it goes down 6 more degrees. The temperature by 4am will be:

= -3° - 6°

= -9°

Then, by 9 am, the temperature goes up 30 degrees, the temperature at 9 am will then be:

= -9° + 30°

= 21°

Answer:

2/7

Step-by-step explanation:

Since the denominators are the same, we need to add the numerators and place it over the common denominator

-4+6 = 2

so

-4/7 + 6/7 = 2/7

2/7

Answer:

B

Step-by-step explanation: