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Goshia [24]
3 years ago
11

Need more help please!!

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
46: 24a+40

First we are going to take a look at a) 8(3a+5)

a) We then simplify it by multiplying the numbers inside the parenthesis by 8.

a) 24a+40

Now we ask ourselves, is this equivalent to 24a+40? YES! 

So your answer for #46 is a)   8(3a+5)


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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
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Step-by-step explanation:

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Ilya [14]
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Read 2 more answers
How will you know that the expression is a perfect square trinomial?
Alexus [3.1K]

Answer:

An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.

Step-by-step explanation:

An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.

Now, the conditions for which an equation will be called a perfect square trinomial are;

i) It is of the form: ax² + bx + c

I) It satisfies the condition: b² = 4ac.

Thus, the perfect square formula could take the following forms:

(ax)² + 2abx + b² = (ax + b)²

Or

(ax)² − 2abx + b² = (ax − b)²

7 0
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