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Tpy6a [65]
4 years ago
12

Factorize 216x^3 + 64y^3

Mathematics
1 answer:
marin [14]4 years ago
5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

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

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

                                 =8( 3x+2y) ( 9x^2 -6xy +4y^2)

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EASY POINTS. WILL MARK BRAINLIEST. TIMED
Over [174]

Answer:

Option C is right

Step-by-step explanation:

Given that the random variable, X,  the ages of voters as per poll worker analysis is having mean as 65 and std deviation as 5

X is normal (65,5)

To convert to Z score from x we use

Z = \frac{x-65}{5}

Or we can write in terms of x as

X = 65+5z

When z = 1.14

we can convert into z as follows

X=65+5(1.14) = 65+5.7=70.70

Round off to 71

8 0
3 years ago
Read 2 more answers
Find the equation of a line that passes through the given points<br>(0,2) and (6,2)
AysviL [449]

Answer:

y=2

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-2}{6-0}=\frac{0}{6}=0

Since the slop is 0, this is a horizontal line of the form y=b. B is the y-intercept of the points on the line. Notice that both are 2? y=2



5 0
4 years ago
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A campsite is 12.88 miles from a point directly below Mt. Adams. If the angle of elevation is 15.5° from the camp to the top of
nata0808 [166]

Answer:

3.57 miles

Step-by-step explanation:

Please consider the attachment.

We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.

We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.

We know that tangent relates opposite side of right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(15.5^{\circ})=\frac{h}{12.88}

\text{tan}(15.5^{\circ})\cdot(12.88)=\frac{h}{12.88}\cdot(12.88)

12.88\cdot\text{tan}(15.5^{\circ})=h

h=12.88\cdot\text{tan}(15.5^{\circ})

h=12.88\cdot(0.27732454406)

h=3.5719401274928

h\approx 3.57

Therefore, the mountain is approximately 3.57 miles high.

4 0
3 years ago
A recipe for nut bread calls for 1/4 cup of walnuts and 2/6 cup
Hitman42 [59]

Answer:

\sf Total \ amount \ of \ walnuts \ and \ pecans \ needed = \dfrac{7}{12}

Step-by-step explanation:

<h3>Fraction addition:</h3>

    \sf Amount \ of \ walnut \ needed = \dfrac{1}{4}

    \sf Amount \ of \ pecans \ needed =\dfrac{2}{6} =\dfrac{1}{3}

To find the total amount of walnut and pecans, we have to add the fractions.

  • Find the LCM of the denominators.
  • Find equivalent fractions using the LCM
  • Now, add the fractions

LCM of 4 & 3 = 12

Equivalent fractions:

      \sf \dfrac{1}{4}=\dfrac{1*3}{4*3}=\dfrac{3}{12}\\\\\dfrac{1}{3}=\dfrac{1*4}{3*4}=\dfrac{4}{12}

Now, add

   \sf \dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}

                  \sf = \dfrac{7}{12}

3 0
2 years ago
Please help! I really need it!
Effectus [21]

Answer:

C : 4√2

Step-by-step explanation:

An triangle has two sides of equal right angles

We call the perpendicular side a, the isosceles triangle FGD at G

According to the Pythagorean Theorem

FH = √FG² + GH² = √a²+ a² => a√2 = 8

⇒a = 4√2

8 0
3 years ago
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