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2 years ago

Express 9.08 as a fraction in its simplest form

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

5 0

Answer:

$9\frac{2}{25}$

Step-by-step explanation:

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Factorize this expression completely <br>using (a-b)² formula<br>3a²- 36a + 108

Novosadov [1.4K]

Answer:

$3a^2 - 36a + 108 = (\sqrt{3}a - 6\sqrt{3} )^2$

Step-by-step explanation:

$3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2$

$so, a = \sqrt{3} a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}$

Therefore ,

$3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2 = (\sqrt{3}a - 6\sqrt{3} )^2$

6 0

3 years ago

It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find

guapka [62]

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

8 0

3 years ago

PRAGYA PLEASE HELP ME! (y-3)(y+4)?

Gemiola [76]

Answer:

y^2+y-12

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

y^2+y-12

5 0

3 years ago

Read 2 more answers

The ordered pair (4, -8) is in the 4th quadrant if we took the opposite of the x- value and the opposite of the y-value, which q

harina [27]

9514 1404 393

Answer:

2nd quadrant

Step-by-step explanation:

Reversing the signs of both coordinates reflects the point across the origin. The quadrant diagonally opposite quadrant 4 is quadrant 2.

_____

You recall that quadrants are numbered 1 to 4 counterclockwise, starting from upper right.

8 0

3 years ago

Show work 29 points pls help

Tanzania [10]

Answer:

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

$\frac{y}{x}$ = k

To find k use any ordered pair from the table

Using (2, $\frac{5}{2}$ ) , then

k = $\frac{2}{\frac{5}{2} }$ = 2 × $\frac{2}{5}$ = $\frac{4}{5}$

7 0

2 years ago