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Ipatiy [6.2K]
3 years ago
9

What is a quadratic equation? And how do you solve them?

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

A quadratic equation is some thing like

(x+2)^2

or

(x+2)(x+5)

In order to solve them, the most basic method is the FOIL method

F-First

O-Outside

I-Inner

L-Last

So for example

(x+2)^2

Which is basically

(x+2)(x+2)

So the first is the 2 Xs

(x+2)(x+2)

x*x=x^2

The outer is the x and the 2,

(x+2)(x+2)

2*x=2x

Now the Inner which is the 2 and the x

(x+2)(x+2)

2*x=2x

And finally the last  which is the 2 and the second 2

(x+2)(x+2)

2*2=4

Now add them all up

X^2+2x+2x+4

Combine like terms

x^2+4x+4

There you have it

Do the same with every other quadratic equation

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BRAINLIEST!!!
goldenfox [79]

Answer:  \frac{8}{17} or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S =  60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32

Thus, the side opposite to S = 32 units

Now,  the trigonometric ratio for sin S is given by :-

\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}

Hence, the  trigonometric ratio for sin S =\frac{8}{17} or 8:17

5 0
3 years ago
Simplify the expression. Show your work. 22 + (32 – 4 2 )
Alex Ar [27]
You have to use PEMDAS:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

First, do parentheses.

32 - 42 = -10

22 + -10 = 12

Answer = 12

Hope this helped
Have a great day :)


8 0
3 years ago
I need help on this please. Don't answer if you don't know, Thanks
lyudmila [28]

Answer:

I think you can find these answers online...

A good website that I used to use for books like these was www.slader.com, but it might not have everything.

Step-by-step explanation:

4 0
2 years ago
What is the exact length of AB
Tatiana [17]

We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians

So AB= 4 * 45* π/180 = π units

6 0
3 years ago
Read 2 more answers
Find the HCF of 126 and 420
melamori03 [73]

Answer:

42

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

3 0
2 years ago
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