SOLVE THES THREE PLEASEESESES

Mathematics

2 answers:

enot [183]2 years ago

6 0

Do you still need help?

Leno4ka [110]2 years ago

4 0

Do you still need help with this ?? 12-13

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The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

5 0

3 years ago

PLS ANSWER <br> Which number line represents the solutions to-2|x| =-6?<br> o<br> -8<br> 8

yarga [219]

1 is the correct answer my guy

3 0

3 years ago

What is 2 times 2 plus 2 divided by 2

egoroff_w [7]

The question says:
2×2+2÷2
so first you should find 2 × 2 which is 4 and then 2 ÷ 2 which is 1
now you have:
4 +1 = 5 so the answer is 5 :)))
i hope this is helpful
have a nice day

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!! Chloe stops for lunch in a town that has no meal tax. She has $20 and tips 15%. Select all the prices of meals

Vilka [71]

Answer:

$16.25 $15.95 $15.75

Step-by-step explanation:

because a 15% tip is $3.00

8 0

3 years ago

Will give brainliest