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4 years ago

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

Mathematics

1 answer:

S_A_V [24]4 years ago

4 0

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

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HELP ME CHECK MY ANSWER PLEASE!!!

Oduvanchick [21]

You have alot of question so I will say if it is right or wrong and explain if it is wrong

1. correct 10a√a

2.correct 2ab ∛b^2

3. incorrect, answers are 2nd one and fourth one
x^3√(2xy)-4x√(2xy)
(2x^3y-4x)√(2xy)

4. incorrect, answer is 6√3

5.incorrect, answer is last one 3√6-3√2

6. correct

7. incorrect, if a>b then a/b is not a fraction, that means that is a rational number that is greater than 1 and exponents to numbers greater than 1 get bigger

answer is 3rd and 4th
$\sqrt[b]{100^{a} }$
expression is greater han 100

8. incorrect, since it is the 3rd root, reverse it and get 3^3=27
answer is 27x^(3/5)

9. incorrect, the answer is 4x^(2/3) because pemdas says that the exponents before multiplication

10. incorrect, answer is use pemdas
ansewr is $\frac{9b^{ \frac{3}{8} }}{a}$

8 0

3 years ago

H(x)=4-2x find h (-3)

olasank [31]

Answer:

Step-by-step explanation:

h(x) = 4 - 2x

h(-3) = 4 - 2*(-3)

= 4 + 6

= 10

4 0

3 years ago

Solve each problem step by step so I can understand... I forgot how to do this. ;-;

sashaice [31]

Answer:

For each of them, you would need to isolate the variable.

Step-by-step explanation:

Okay so for the first one, you would need to isolate the x.

x/-2 = 3

Since the "/" represents division, you need to do the inverse of dividing which is multiplication. You would need to multiply on both sides of the equation.

x = 3 x -2

x = -6

And there you have it, the answer for the first problem!

You again, isolate the x for the second equation as well.

-9x = -9

Since the x is directly next to the 9, indicating that it is multiplication. Do the inverse of multiplication which is division. Divide by -9 on both sides.

x=-9

Since -9/-9 cancels each other out, that leaves x by itself.

x = -9/-9

x = 1

You only end up cancelling out the number next to the variable, not the one on the other side. (if you are wondering why I didn't cross it out)

As for the third one, you can carry the -5 over to the -4, but since the inverse of -5 is +5, you add 5 to -4.

x = 1

As easy as that! You don't do the same as the two questions before because the number isn't right next to the variable.

For the fourth one, you isolate the x once more. You do the inverse of multiplication which is again, division. And again, the -5/-5 cancel out!

x = -5/25

x = -0.2

And finally, the last one!

You repeat the same steps as the third one. Add 2 on each side and cancel out 2 + 2 on the x's side.

x = 10 +2

x = 12

And that's all your answers. Hope you understood :)

4 0

3 years ago

Can anybody help me with this

kondaur [170]

Answer:

c ≈ 9.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )

c = $\sqrt{82.42 }$ ≈ 9.1 m ( to the nearest tenth )

5 0

2 years ago

6x²-y³=1<br><br>differentiate the equation to dy/dx

kenny6666 [7]

Dy/dx=4x/y2 this is what i got
hope this helps

5 0

3 years ago