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2 years ago

Is the factored form of 4k^2-28k+49

1 answer:

5 0

It should be (2k - 7)^2

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Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

$x^2 + y^2 -6x+14y-1=0$

We need to use the Quadratic Formula*

$x =\frac{-b+\sqrt{b^2}-4ac }{2a}$ , $\frac{-b-\sqrt{b^2} -4ac }{2a}$

Thus, given the problem:

$a = 1, b=-6, c=y^2+14y-1$

So now we just need to plug them in the Quadratic Formula*

$x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$ , $x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$

As you can see, it is a mess right now. Therefore, we need to simplify it

$x=\frac{6+2\sqrt{10-y^2-14y} }{2}$ , $x = \frac{6-2\sqrt{10-y^2-14y} }{2}$

Now that's get us to the final solution:

$x=3+\sqrt{10-y^2-14y}$ , $x=3-\sqrt{10-y^2-14y}$

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0

2 years ago

Hitman42 [59]

A: x= 6+3 squareroot 10 ... Its letter A

4 0

3 years ago

Salsk061 [2.6K]

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist