A line is parallel to y = 2x - 8 and

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

6 0

Answer:

the line is y=2x+7

Step-by-step explanation:

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The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the onginal

polet [3.4K]

Answer:

Step-by-step explanation:

Given: The sum of two digit number is 8

Reversing the digit will get us number 18 less than the original.

Lets take x as tenth digit of our number and y as unit digit of our number.

As given sum of digit is 8

∴ $x+y= 8$

∴ $y= 8-x$ - equation 1

We also know that reversing the digit will get us number 18 less than the original.

∴ $10y+x = 10x +y-18$

Now, lets put the value of y from equation 1

⇒ $10(8-x) + x = 10x+ (8-x)- 18$

⇒ $80-9x= 9x-10$

⇒ $90= 18x$

∴ $x= 5$

Next, substituting the value of x in equation 1

$y= 8-x$

⇒ $y= 8-5 = 3$

∴ $y= 3$

∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.

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4 years ago

Find the volume (in terms of pi) of a sphere of its surface area is 400 pi ft2

elixir [45]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies \stackrel{SA}{400\pi }=4\pi r^2\implies \cfrac{400\pi }{4\pi }=r^2 \\\\\\ 100=r^2\implies \sqrt{100}=r\implies \boxed{10=r} \\\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad V=\cfrac{4\pi \boxed{10^3}}{3}\implies V=\cfrac{4000\pi }{3}$