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agasfer [191]
3 years ago
5

Which two values of x are roots

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0
The answer is C. 

To solve these types of equations you first need to make sure that you equation is equal to 0. In this case all of the numbers are already on the same side so no work needs to be done there. Then we can get a, b and c values for the quadratic equation by looking at the coefficients. 

a = 4 (number attached to x^2)
b = -6 (number attached to x)
c = 1 (number with no variable attached)

Now we can put this into the quadratic equation. 

\frac{-b +/-  \sqrt{ b^{2} -4ac} }{2a}

\frac{6 +/- \sqrt{ -6^{2} -4(4)(1)} }{2(4)}

\frac{6 +/- \sqrt{20} }{8}
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Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0
3 years ago
Please help!!
Lelechka [254]

Answer:

I made it to this and I don't know what to do for the rest sorry.

Step-by-step explanation:

y-5=-2(x-6)

+5      +5

y=3(x-6)

y=3x-18

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