All categories

3 years ago

Factor 27 + d^ 3completely.

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

(3+d)(9-3d+d^2)

Step-by-step explanation:

a^3 + b^3 = (a+b)(a^2-ab+b^2)

a= 3

b= d

You might be interested in

Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat

ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.
if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.
if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

4 0

2 years ago

A 'snail's pace is 60 inches per minute. At this rate how long will it take the snail to crawl 120 feet?

True [87]

Ok, so here, we have the unit rate of the snail. Now, we need to set up a proportion.

60/1 = 120/x

Now, cross multiply.

60*x = 120*1

60x= 120

Now divide to solve for x.

60x/60 = 120/60
x = 120/60
x= 2

Now our final answer is 2.

Final answer:- The snail will take 2 minutes to crawl 120 feet

5 0

3 years ago

Read 2 more answers

Help me with my math quiz from friday 4/1 <br> SHOW STEPS

malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

_______________________________________

4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

$\rightarrow\sf{7x - 4=87}$

$\rightarrow\sf{7x =87+4}$

$\rightarrow\sf{7x =91}$

$\rightarrow\sf{x =\frac{91}{7}}$

$\rightarrow\boxed{\bf{x =13}}$

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

$\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}$

$\rightarrow\boxed{\bf{circumference=106.8ft}}$

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

$\rightarrow\sf{6x - 16 = 180-160}$

$\rightarrow\sf{6x - 16 = 20}$

$\rightarrow\sf{6x = 20+16}$

$\rightarrow\sf{6x =36}$

$\rightarrow\sf{x =\frac{36}{6}}$

$\rightarrow\boxed{\bf{x =6}}$

8 0

2 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0

4 years ago

What is 85.23 - 2.675 =?

Anna007 [38]

Your answer is 85.555,hope this helped or 85.5 with - over it

8 0

3 years ago

Read 2 more answers