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Lelu [443]
3 years ago
5

Use the quadratic formula to find the exact solutions of x2 - 5x - 2 = 0.

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Step-by-step explanation:

{x}^{2}  - 5x - 2 = 0 \\ a = 1 \: and \: b =  - 5 \: and \: c =  - 2 \\ x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2}  - (4 \times 1 \times  - 2)} }{(2 \times 1)}  \\ x =  \frac{5± \sqrt{33} }{2}  \\ either : x =  \frac{5 +  \sqrt{33} }{2} \:  or \:  \frac{5 -  \sqrt{33} }{2}  \\ x = 5.4 \: or \:  - 0.4

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Find the Least Common Multiple of 9 and 20.
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3 years ago
A college basketball team won 72.5% of the games they played. If they played 80 games, how many did they win?
stepladder [879]


10% is 8, so multiply this by 7 to get 70%.

That would 56.

To get the 2% think of what 1% is then double it.

1% would be 0.8, so 2% would be 1.6

Then, to get the 0.5% just cut what 1% of it is.

Since 1% would be 0.8, you cut it in half to get 0.4.

Combine the 56, 1.6, and 0.4.

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So the problem would read 56+2=58.

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5 0
3 years ago
What is the area of a parallelogram ABCD
svetoff [14.1K]

Answer:

Area of a parallelogram would be 13.46

Step-by-step explanation:

Since area of a parallelogram is represented by the formula

Area = \frac{1}{2} ((D_{1}*D_{2})

Where D_{1} and D_{2} are two diagonals of the given parallelograms.

In the given figure D_{1}=AC and D_{2} = BD

We will find the length of D_{1} and D_{2} first

Since points A and C are (3,6) and (5,1)

So distance AC = \sqrt{(6-1)^{2}+(3-5)^{2}  }

= \sqrt{5^{2}+(-2)^{2}}

= \sqrt{25+4}=\sqrt{29}

Since B and D are the points (6, 5) and (2, 2)

So length of BD = \sqrt{(6-2)^{2}+(5-2)^{2}}

BD = \sqrt{4^{2}+3^{2}}=\sqrt{25}=5

Now we will put these values in the formula

Area of parallelogram = \frac{1}{2}(\sqrt{29})(5)

= \frac{5}{2} × \sqrt{29}

= (2.5) (5.385)

= 13.46

5 0
3 years ago
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