What is the average rate of change over the interval 2 ≤ x ≤ 4?

Answer: A. 9.4 units

Step-by-step explanation:

       We could use the distance formula, but this problem asks us to use the Pythagorean theorem. This means we will "create" a right triangle and solve for the hypotenuse.

       [1] First, we need to draw our triangle.

-> Please see attached.

       [2] Now, we will count the length of the sides for the formula.

-> Please see attached.

       [3] Lastly, we can use the Pythagorean theorem to solve for the missing side which also known as the hypotenuse. In this case, it is from point R to point S

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

[tex]\sqrt{89}[/tex] = c

c ≈ 9.43

-> Which becomes 9.4 when rounded to the tenths place.

                                  A. 9.4 units

Answer:

A. 9.4 units

I explianed

Answer:

Should be A

Step-by-step explanation:

mmm B is a bit off

C gives a decline but there is no mention of declination

D is just plain wrong

Answer:

12/103

Step-by-step explanation:

(7/13)*52=28

28 bones in the feet are toe bones.

52-28=24

24 bones in the feet are not toe bones.

24/206

simplify

12/103 bones in human body are feet bones but not toe bones

Answer: D

Use the formula y = (m or slope)x + (b or y-intercept)

Slope = 2 up and 3 right = 2/3

y-intercept = 2

So, Y = (2/3)x + 2

Answer: Griffin is correct

Just multiply the (amount of classes) times the (amount per class), plus the sign-up fee

Griffin is correct because both should equal 175

Gigi is wrong because the local yoga studio is for 155, and the second yoga studio is 150

Answer:

954.56 in²

Step-by-step explanation:

Formula: A = 2πrh + 2πr²

Hope this helps!!

**Brainliest would be appreciated**

Answer:

6 square units

Step-by-step explanation:

The area of the base of the triangle is [tex]\sqrt{2^2+2^2}[/tex] which is [tex]2\sqrt{2}[/tex]. The height of the triangle is [tex]\sqrt{3^2+3^2}[/tex] or [tex]3\sqrt{2}[/tex]. The area of the triangle is [tex]\frac{3\sqrt{2} * 2\sqrt{2}}{2}[/tex] which is 6.

Answer:

Angle 1: 60

Angle 2: 120

Step-by-step explanation:

Because of corresponding angles, the measure of the angle next to Angle 1 is 50 degrees, due to corresponding angles. Because of the sum of angles in a triangle is 180 degrees, measure of Angle 1 is 60 degrees. The linear pair of angle 2 is angle 1, which is 60 degrees. Because of linear pair, measure of angle 2 is 120 degrees.

Answer:

Angle 1: 60!

Angle 2: 120!

Step-by-step explanation:

This is easy. Have a good day :D-|--=:

Answer:

X' = (-2, 4)

Step-by-step explanation:

If you reflect the triangle over the x-axis you find that X' is (-2, 4). If you would like the image, you can ask me.

Answer:

(5, 21)

Step-by-step explanation:

hope this helps :)

Answer:

it would be the second one.

Step-by-step explanation:

If I get it wrong, Let me know. If not. five stars and brainest, please

Answer: Second option

Step-by-step explanation: It is the second option becase it contains 1w, 2s and 4y which are all there to add up the perimeter. Remember, the perimeter is just all the sides added up.

Answer:

m1=35

m2=77

m3=49

m4=77

m5=62

m6=28

Step-by-step explanation:

The required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

Given is a figure, we need to find the marked angles from it,

∠ 2 + 103° = 180° [linear pair]

∠ 2 = 77°

∠ 1 + ∠ 2 + 68° = 180° [angle sum property of a triangle]

∠ 1 = 35°

∠ 4 = ∠ 2 [vertically opposite angles]

∠ 4 = 77°

Now,

∠ 3 + 41° = 90° [angles in a right triangle]

∠ 3 = 49°

∠ 6 = 180° - (∠ 3+103°)

∠ 6 = 28°

∠ 5 = 90°-∠ 6

∠ 5 = 62°

Hence, the required angles are ∠ 1 = 35°, ∠ 2 = 77°, ∠ 3 = 49°, ∠ 4 = 77°, ∠ 5 = 62° and ∠ 6 = 28°

Learn more about angles, click;

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Answer:

For (a), the answer is 720/9 because that is a closer estimate of 693/9 than 630/9. For (b), its a overestimate because 720/9 is greater than 693/9.

Answer:

He should find the sample from people who eat brisket from multiple different resturaunts. A sample that would not be representative could be a vegetarian.

Step-by-step explanation:

If they eat brisket they'll know what the best brisket is.

A vegetarian deoesn't eat meat so wouldn't know.

Answer:

its hard i am in grade 5 of class

Answer:

3 1/3

Step-by-step explanation:

Make the fractions into improper fractions:

2 1/2 = 5/2

1 1/3 = 4/3

5/2 × 4/3 =

5×4/2×3 =

20/6 =

10/3 =

3 1/3

B. kilometer

hope my ans helps. :D

Answer:

10

Step-by-step explanation:

w is the variable, you're trying to find what that variable could be. There are 5 boxes so you are trying to find "What minus 2, times 5, is equal to 40." OR (w-2)5=40. 8 times 5 is 40, but to compensate for the -2, add two to the 8 to get 10! hope this helps :)

Answer:

4

Step-by-step explanation:

There are 5 boxes.  Something times 5 is 40.  But,  w-2 has to equal 40.  Since 4 times 5 is 40, w is equal to 4.  4-2=2.  Replace w-2 with 4.  There are still 5 boxes.  So, multiply 4 x 5 and you get 40.  

Answer:

8 buses

Step-by-step explanation:

So if we want to seperate out a group of objects to a set, we would used division. Our group of objects is basketball fans and our set is a bus.

Now, we divide the group of objects by the set, to find how many sets to fit all the objects.

357/45 = 7.93333

Since we have a mixed number with a fraction, we will always round up. Because we can't have part of a bus and if we round down, we will not have enough buses.

So we need 8 buses

the answer for this question of line "a" is  ax + by + c = 0.

Answer:

the answer for this question of line "a" is  ax + by + c = 0.

Step-by-step explanation:

I hope this helps!

Answer:

[tex]21 * 4 = 84[/tex]

Split the problem up.

[tex]\frac{2 * 4 = 8}{1 * 4 = 4}[/tex]

Merge the results.

[tex]8[/tex] ⇔ [tex]4[/tex] [tex]= 84[/tex]

[tex]84[/tex] ÷ [tex]21 = 4[/tex]

Answer:

4

Step-by-step explanation:

you would do 84 ÷ 21 which is 4

21 × 4 is 84

Answer:

6n is less than or equal to 42

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

6n ≤ 42

6÷6    42÷6

n ≤ 7

Answer:

15/7 or 2 1/7

Step-by-step explanation:

The position of E is:

2 1/7 (mixed number)

15/7 (improper fraction)

How did we get our answer?

Well, starting from the line after 2 to 3, we have 7 lines. So, we got 2 1/7

From mixed number to mixed fraction (view the attached image)

Hope this helps!

The position of point E on the number line is accurately represented by the mixed number 2 1/7 or the improper fraction 15/7.

The mixed number 2 1/7 can be interpreted as 2 whole units plus 1/7 of another unit. This places point E two whole units to the right of the origin, and an additional 1/7 of a unit further to the right.

Conversely, the improper fraction 15/7 is equivalent to 2 1/7 when simplified. This means that the point E lies at 15/7 on the number line. This fraction signifies 2 whole units and 1/7 of a unit, the same as the mixed number representation.

In conclusion, both representations—2 1/7 and 15/7—accurately indicate the position of point E on the number line. The point lies 2 whole units to the right and an additional 1/7 of a unit to the right of that position.

To know more about number line:

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  When dividing with fractions, you "keep, change, and flip" the problem.

  This means that the 4 becomes 1/4, so they are equal to each other.

  What it looks like:

[tex]\frac{1}{2}[/tex] ÷ 4 -> [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{4}[/tex]

       [tex]\frac{1}{2}[/tex] = keep

       ÷ = change to x

       4 = flip to [tex]\frac{1}{4}[/tex]

Answer:

All of them

Step-by-step explanation:

all of them add to 60

24 pencils and 36 stickers= 60 items

3 bags with 8 pencils and 12 stickers 3(8+12) =60

6 bags with 4 pencils and 6 stickers 6(4+6) =60

3 bags with 10 pencils and 10 stickers 3(10+10)=60

5 bags with 6 pencils and 6 stickers 5(6+6)=60

12 bags with 2 pencils and 3 stickers  12(2+3)=60

4 bags with 6 pencils and 9 stickers 4 (6+9) =60

Answer:

3

Step-by-step explanation:

5*5=25 + 3-1=2  25+2=27

18/9=2

27/9 27/3=9  9/3=3

9/3 9/3=3  3/3=1

3/1=3