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kipiarov [429]
3 years ago
11

Factor this polynomial expression. x^2-16

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Hi,

We know that:

a² -- b² = (a -- b)(a + b).

With a = x, and b = 4, we have:

x² -- 16 = x² -- 4² = (x -- 4)(x + 4).

As simple as that. Have you understood ?

Green eyes.

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
each paperclip is 7/8 of an inch long and costs $.03. exactly enough paper clips are laid end to end yo have a total length of 5
GalinKa [24]
1 clipe..............7/8
x.......................56

7x/8 = 56
7x = 56*8
x = 56*8/7
x = 8*8
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5 0
3 years ago
A pair of numbers that has the sum of 12 and a difference of eight
anygoal [31]

Answer:

2 ; 10

Step-by-step explanation:

a + B = 12

a - B = 8

a = 12 - B

(12 - B) - B = 8

a = 12 - B

12 - 2B = 8

B = 2

A = 10

7 0
2 years ago
Savannah's biweekly salary is $3010.What is her annual salary?
irga5000 [103]

Answer: $78,260

Explanation:

is her annual salary bi annually means ever two weeks and 52 weeks in a year so u divide 52 by two and multiply that by her biweekly salary

8 0
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A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select anoth
Sveta_85 [38]

Answer:

Answer as a fraction: 4/15

Answer as a decimal: 0.267

The decimal version is approximate rounded to three decimal places.

Step-by-step explanation:

6 apples, 4 peaches

6+4 = 10 pieces of fruit total

The probability of picking an apple is 6/10 = 3/5

After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.

Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15

Using a calculator, 4/15 = 0.267 approximately.

6 0
2 years ago
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