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3 years ago

Why 16 not a perfect cube

1 answer:

6 0

A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= $5^{3}$ . Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

16 does not have a perfect cube, but does have a perfect square 4×4=16

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

Step 1:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

3 years ago

PLEASE HELP WITH QUESTION. I am taking a test right now with little time left.

Gwar [14]

1834 bfc I believe that’s the right answer

8 0

3 years ago

Which expression is equivalent to -3(4x-0.50)? PLEASEEEEEEEEEEEEE HELPPP

Misha Larkins [42]

Final Answer: $-12x + 1.5$

Steps/Reasons/Explanation:

Question: Which expression is equivalent to $-3(4x - 0.50)?$

Step 1: Expand by distributing terms.

$-3$ × $4x - 3$ × $-0.50$

Step 2: Simplify $-3$ × $4x$ to $-12x$ .

$-12x - 3$ × $-0.50$

Step 3: Simplify $3$ × $-0.50$ to $-1.5$ .

$-12x - (-1.5)$

Step 4: Remove parentheses and add.

$-12x + 1.5$

~I hope I helped you :)~

6 0

3 years ago

If y = x² - 6x + 11 is written in the form y = a ( x - h )² + k, find the value of ( a + h + k).

Crazy boy [7]

Answer:

Step-by-step explanation:

y = x² - 6x + 11

Complete the square.

y = x² - 6x + 9 + 2

y = (x - 3)² + 2

a = 1, h = 3, k = 2

a + h + k = 6

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (8,1) and has a slope of 3/4

iris [78.8K]

Answer:

believe the answer is

$y = \frac{3}{4} x - 5$

Step-by-step explanation:

Hope this helps!

3 0

3 years ago