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3 years ago

`whats 1+1=? and why does it equal that?

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

1 + 1 = 11! :D No, just kidding 1 + 1 = 2

Step-by-step explanation:

1 + 1 = 2. You're taking 2 numbers (1) worth 1 value and adding them together to make the number 2.

I dont know how to explain but I hope this cures your curiosity-

mote1985 [20]3 years ago

6 0

Answer: 1 + 1 = 2

Step-by-step explanation:because that's how we've defined it, in the same way that the word "cat" refers to small, furry, feline creatures because that's how we've defined it.

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egoroff_w [7]

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4 years ago

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The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

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3 years ago

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Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4

RideAnS [48]

Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.

<h3>What is the Arithmetic Sequence?</h3>

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

The arithmetic sequence formula is;

aₙ = a + (n − 1)d,

where;

a is the first term

n is the position of the term in the sequence

d is the common difference

aₙ is the nth term of the sequence.

Our sequence is 10, 14, 18, 22 up to row 20.

Using the sequence formula;

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Thus, the number of seats in row 20 was 86 seats.

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Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide. She used exactly 3 quarts of paint to cover the wa

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