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2 years ago

The length of segment qs is units

Mathematics

1 answer:

tigry1 [53]2 years ago

3 0

Answer: QS is 17 Units

Step-by-step explanation:

3x+2=5x-8

X=5

So plug it into 5x-8

5(5)-8=17

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Step-by-step explanation:

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Solve the inequality x+1<3/4 and write the solution in interval notation.

Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

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Learn more on inequality here: brainly.com/question/24372553

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1 year ago

Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A′B′

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Step-by-step explanation:

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3 years ago

Pigeon Hole Principle :

yaroslaw [1]

Answer:

A proof can be as follows:

Step-by-step explanation:

Let $S=\{a_{1},a_{2},...,a_{n},a_{n+1}\}$ be a set of $n+1$ integers. By the division algorithm the possible remainders when we divide by $n$ are $0,1,2,....,n-1$ . Then, each integer $a_{i}\in S$ can be written as:

$a_{i}=np_{i}+r_{i},\,\,0\leq r_{i}$

Observe that the set of remainders $\{r_{1},r_{2},...,r_{n+1}\}$ has $n+1$ elements and each element has $n$ possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are $a_{i}, a_{j}$ . Then,

$\begin{array}{c}a_{i}=np_{i}+r\\a_{j}=np_{j}+r\end{array}$

Where $r_{i}=r_{j}=r$ . Then, $a_{i}-a_{j}=np_{i}-np_{i}=n(p_{i}-p_{j})$ . Then we have that $n$ divides $a_{i}-a_{j}$ .

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3 years ago