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2 years ago

Complete the table using the relationship between s and c.

Mathematics

1 answer:

Nataly_w [17]2 years ago

7 0

Answer:

s c

2-6

4-12

6-18

8-24

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Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

OR in Decimal,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

[Follow PEMDAS rule while simplifying]

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

5 0

1 year ago

In an arithmetic sequence , the 6th term is 9 and the 8th term is 15

Inga [223]

Hopefully the math terms won't confuse anyone.

So in the series, a_6 = 9 and a_8 = 15. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_6 = a_0 + 6 * k
a_8 = a_0 + 8 * k
solving this system gives you that
k = 3 and a_0 = -9
for any term n for this arithmetic sequence,
a_n = -9 + 3 * k

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2 years ago

A line segment is drawn from (2, 3) to (2, 8) on a coordinate grid.

serg [7]

Subtract 3 from 8, obtaining 5. Try it!

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2 years ago

Translate the following equation into a verbal sentence. 5(2x+3y)=y^2-2x^3

brilliants [131]

five times two "X" plus three equals "Y" squared minus two times "X" cubed.

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2 years ago

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Nina [5.8K]

Answer:

Money

Step-by-step explanation:

Ads help provide money for the company.

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2 years ago