3 years ago

Whch numbers are a distance of 5 units from 8 on a number line

Mathematics

1 answer:

Dimas [21]3 years ago

3 0

3 and 13 are 5 units from 8 on a number line.

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Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.

Mumz [18]

We have

$81-49n^4=9^2-(7n^2)^2$

so this is indeed a difference of squares. Factorizing would give

$81-49n^4=(9-7n^2)(9+7n^2)$

making the answer D.

We can further factor the first term here and write

$9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)$

but that's clearly out of the scope of this question.

7 0

3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

2 years ago

Solve the proportion x+1/3 = x/2 5 1 2 10

s344n2d4d5 [400]

Value of x is 2.

Step-by-step explanation:

Step 1: Given that x+1/3 = x/2

Cross-multiply to find the value of x.

⇒ 2(x + 1) = 3x

⇒ 2x + 2 = 3x

⇒ x = 2

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3 years ago

You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 250,823. Its current populatio

Tanzania [10]

Answer:

I just answered it

Step-by-step explanation:

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3 years ago

X+1 if x is less than 1

artcher [175]

Answer:yes

Step-by-step explanation:yes

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3 years ago