Problem # 1
Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)
There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
(5x ) (x ) = 5x^2 +
2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3
3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.
For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6. This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.
As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.
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Problem # 2
Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
4x^2 (x - 3) (x - 4)
To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x )(x ) and guessing for which numbers will add to -7x and multiply to 12
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
The statement
y varies inversely with x is written as
where k is the constant of proportionality
To find k substitute the values of x and y into the equation
From the question
y = 4
x = 6
We have
Cross multiply
k = 4 × 6
k = 24
So the formula for the variation is
<h2>
</h2>
Hope this helps you
Answer:
What is the question?
Step-by-step explanation:
...
32.89 should be the answer if I’m reading your question right
Using the picture:
Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8
Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6
We know the shape is a right angled triangle:
By applying Pythagoras' Theorem:
let the hypotenuse be x:
x² = 6² + 8²
x² = 36 + 64
x² = 100
Take square root of both sides
√x² = √100
x = 10
Distance between the 2 points = 10 units.
Option D.
