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1 year ago

Each of the following phrases describes a numerical value:

Mathematics

2 answers:

DanielleElmas [232]1 year ago

7 0

Answer: C

Step-by-step explanation:

The answer is C

Step-by-step explanation:

C The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.

Absolute value is the distance from zero on a number line of and number positive or negative.

tankabanditka [31]1 year ago

6 0

Answer:

C-The absolute value of 9 is farther from 0 on a number line than the opposite of 9.

Step-by-step explanation:

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PLEASE HELP ASAP<br> Prove that x+a is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5

Brums [2.3K]

$P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5$

If $x+a$ is a factor of $P(x)$ , then $-a$ is a root of $P(x)$ .

Therefore

$(-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0$

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2 years ago

A sportswriter makes his pre-season picks for the top ten teams finish. If there are forty teams, how many different lists could

Anettt [7]

$\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad 
\begin{cases}
n=40\\
r=10
\end{cases}\implies _{40}C_{10}=\cfrac{40!}{10!(40-10)!}$

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1 year ago

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

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2 years ago

Read 2 more answers

A. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. B. what scal

Lera25 [3.4K]

Answer:

Step-by-step explanation:

(A).Two corresponding sides of the given figures will be,

AB and DE

BC and EF

Similarly one pair of corresponding points will be,

A and D.

(B). Since large figure has been scaled to the smaller image,

Scale factor = $\frac{\text{Side of the image}}{\text{Side of the actual figure}}$

= $\frac{\text{AB}}{\text{DE}}$

= $\frac{0.5}{2}$

= 0.25

Therefore, scale factor will be 0.25.

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1 year ago

Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day

prohojiy [21]

I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.

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2 years ago