All categories

2 years ago

What is the completely factored form of x3-64?

2 answers:

nataly862011 [7]2 years ago

7 0

a^3 - b^3 = (a - b) (a^2 + ab + b^2)
so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)

hope it helps

Aleonysh [2.5K]2 years ago

3 0

Answer:

(x + 4)(x2 – 4x + 16)

Step-by-step explanation:

You might be interested in

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

gizmo_the_mogwai [7]

Answer:

triangle EFD

Step-by-step explanation:

5 0

3 years ago

How many times can 535 go into 1035

ICE Princess25 [194]

Only once, any number higher will pass it

3 0

2 years ago

A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting

Elenna [48]

So there is 26 shirts in total because 4+8+4+10=26 Then you need to take 26-4=22. You do this because there is 26 total clothing and only 4 of them aren't either a blue piece of clothing or pants that means you have 22 pieces of clothing that are blue or pants. So your odds of picking a blue piece of clothing or pants is 22/26.

Hope this Helps!!

3 0

3 years ago

For the following quadratic equation, find the discriminant. x^2+ 10x + 44 = 0

Alina [70]

Answer:

padlet com /vpena20241

/sv1blyklvnvfbcdw

Step-by-step explanation:

4 0

2 years ago