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3 years ago

Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30

Mathematics

2 answers:

Hitman42 [59]3 years ago

3 0

commutative for addition

22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30

Katyanochek1 [597]3 years ago

3 0

Answer:

commutative - addition

associative - addition

Step-by-step explanation:

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Which is the answer of the following question

fgiga [73]

Answer:

B) 25.12 cm

Step-by-step explanation:

Arc length

2πr x 1/4
2 x 3.14 x 16/4
8 x 3.14
25.12 cm

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2 years ago

A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

$V = w\cdot h \cdot l$

Where:

$w$ - Width

$h$ - Height

$l$ - Length

If dimensions are doubled, then volume is increased in a factor of 8:

$V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)$

$V_{f} = 8\cdot w \cdot h \cdot l$

$V_{f} = 8 \cdot V_{o}$

The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

3 0

3 years ago

Let f(x) = x2 − 2x − 3. The secant line through (2, f(2)) and (2 + h, f(2 + h)) for f(x) has slope h + 2. Use this formula to co

Mkey [24]

Answer:

a) slope of secant line = 3

b) slope of tangent line = 2

Step-by-step explanation:

Given:

- The function:

f(x) = x^2 -2*x - 3

- The slope for f(x) @ x = 2 is:

slope = h + 2

Find:

a) The slope of the secant line through (2, f(2)) and (3, f(3))

b) The slope of the tangent line at x = 2

Solution:

- Since we are given the slope of the line computed via secant method. All we need to do is evaluate the slope given for respective question.

- The slope of secant line between points ( 2 , f(2) ) and ( 3 , f(3) ) is:

slope = h + 2

Where, h is the step size between two points. h = 3 - 2 = 1

slope = 1 + 2 = 3

Hence, the slope of the secant is 3.

- The slope of tangent line @ points ( 2 , f(2) ) is:

slope = Lim _ h-->0 (h + 2)

Where, h step size is reduced to infinitesimal small number. Hence, h = 0

slope = 0 + 2 = 2

Hence, the slope of the tangent is 2.

5 0

3 years ago

Brainlist for best answer and 100 points

dexar [7]

Well, $920 multiplied by .15 would equal 138 and
since 138 divided by 138 would equal 920. 15% of his income aka $138 would go towards his taxes.
Hope this helped!
have a great day! (:

8 0

3 years ago

Read 2 more answers

The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee

Alex73 [517]

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

6 0

3 years ago

Read 2 more answers