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3 years ago

7

Why does a triangle have 3 sides?

2 answers:

Levart [38]3 years ago

7 0

The word "triangle" came into use in Late Middle English directly from the Latin "triangulus" by dropping the Latin "us" ending.

Triangulus is a compound word made of two Latin words.

<span>Tri, is a prefix form of tres, which means three (3)<span>Angulus, meaning corner.</span></span>

Masja [62]3 years ago

4 0

A triangle has 3 sides because squares have already taken 4 sides. If u didn't know tri means 3, so that triangle has 3 sides. hope that helped

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joe is using his allowance money to download songs from the internet. he can download them at a rate of eight songs every 10 min

Mama L [17]

Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute

Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute

they are downloading at the same speed

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3 years ago

Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!

icang [17]

Answer:

$x=-2\\x=2$

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

$(x^2+1)^2-5x^2-5=0$

First, we need to foil out the parenthesis

$x^4+2x^2+1-5x^2-5=0$

Now we can combine the like terms

$x^4-3x^2-4=0$

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

$(x^2-4)(x^2+1)=0$

As the first binomial is a difference of squares, it can be factored futher into

$(x^2+1)(x+2)(x-2)=0$

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

$x+2=0\\\\x=-2$

$x-2=0\\\\x=2$

So our solutions to this equation are

$x=-2\\x=2$

3 0

3 years ago

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

3 years ago

Domain<br> Range<br> -3<br> 6<br> 5<br> 3<br> -2.<br> 1

uranmaximum [27]

Hello there!

Domain={-3,5,2}
Range={6,3,1}

Hope this helps

Have a great day/night

3 0

3 years ago

How do i find the point-slope form and slope-intercept form for line L?

Phoenix [80]

Not sure. I’m not good with graphs

5 0

3 years ago