Estimate the square root of 46 to the nearest integer

Mathematics

1 answer:

labwork [276]3 years ago

5 0

6,782 is the nearest root.

The nearest integer would be 7.

I really hope this helped you! c:

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The sum of two numbers is 45 and the difference is 3. What are the numbers?

AVprozaik [17]

Answer:

24 and 21 are the two numbers

Step-by-step explanation:

let n represent the unknown number

let n-3 represent the second unknown number

n+n-3 = 45

2n-3=45

2n=45+3

2n=48

n=48/2

n=24

n-3=21

CHECK: 24+21=45

.˙. the first number is 24 and the second number with a difference of 3 is 21

5 0

3 years ago

Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

Andrej [43]

<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$