How many miles are in 506,880 inches?

Simplify completely x^2+4x-45 / x^2+10x+9

S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0

3 years ago

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?

Lorico [155]

Answer:

$\boxed{6912 units^2}$

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

$\frac{3}{4}$ = $\frac{5184}{x}$

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

3 0

3 years ago

Help please will be marked as brainliest if correct

Archy [21]

Answer:

h = 10 bc 4.7 x 10 = 47

f = 36 bc 6 x 36 = 216

g = 3.5 bc 3.5 + 1.6 = 5.1

unlock number equation = f - g x h or 36 - 3.5 x 10

unlock number: 1

8 0

3 years ago

Read 2 more answers

Is it possible for two numbers to have a difference of 8 and a sum of 1?

topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = $\frac{-7}{2}$

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0

3 years ago

HELP PLEASE!! EXTRA POINTS AND BRAINLIEST WILL BE GIVEN!!

mezya [45]

Answer:

0.02651

Step-by-step explanation:

P(all 5 are boys) =

$\frac{7}{12} \times \frac{6}{11} \times \frac{5}{10} \times \frac{4}{9} \times \frac{3}{8}$

= 0.02651 ( wow low)

3 0

3 years ago