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3 years ago

Make a the subject of p=√ab

Mathematics

1 answer:

Marysya12 [62]3 years ago

8 0

P = √ab

p² = ab

p²/b = a

a = p²/b

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This graph shows a proportional relationship.

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The mystery number has five digits,the digit in the tenth place is double the digit in the tens place,the mystery number rounds

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Answer:

See explanation

Step-by-step explanation:

If the mystery number rounds to 700, then it has 3 digits before decimal points and two digits after decimal point.

Hence, the mystery number is

$a b c . d e$

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$d=2b$

If b = 1, then d = 2

If b = 2, then d = 4

If b = 3, then d = 6

If b = 4, then d = 8

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$a-c=3$

The first digit can be only 7, because b < 5 and the number rounds to 700. So

If a = 7, then c = 4

All possible answers:

714.2e

724.4e

734.6e

744.8e,

where e is an arbitrary digit from 0 to 9.

There are 40 possible numbers which match the situation.

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4 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

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Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

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Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

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2 years ago

A receptionist named Eve spends 5minutes routing each incoming phone call. In all,how many phone calls does Eve have to route to

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3 years ago

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Make a the subject of p=√ab​

Make a the subject of p=√ab