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3 years ago

I’m so confused on this. Someone please help, please and thank you <3

Mathematics

1 answer:

galben [10]3 years ago

7 0

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have

A(0, 0), C(a, b)

$AC=\sqrt{(a-0)^2+(b-0)^2=\sqrt{a^2+b^2}$

B(a, 0), D(0, b)

$BD=\sqrt{(0-a)^2+(b-0)^2}=\sqrt{(-a)^2+b^2}=\sqrt{a^2+b^2}$

Therefore AC = BD.

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In a 20% off sale a coat was £220. work out the original price

BARSIC [14]

10% of 220= £22
10% *2 = £44
£220- £44 =£176

5 0

3 years ago

Find the percent change from the first value to the second.<br><br> 50; 39

sertanlavr [38]

Answer:

11 percent

Step-by-step explanation:

if you subtract 50 - 39 = 11

so 11 percent is the change from the first value to the second value.

Hope this helps :)

7 0

3 years ago

Whats the roots of the following three problems:

klemol [59]

QUESTION 1

The given function is

$f(x)=\frac{(x-3)(x-1)}{(x-1)(x+2)}$

We simplify to get;

$f(x)=\frac{x-3}{x+2}$

This function is equal to zero when $x-3=0$

$\Rightarrow x=3$

QUESTION 2

The given function is

$f(x)=\frac{5x^2-10x+5}{2x^2-5x+3}$

$f(x)=\frac{5(x^2-2x+1)}{2x^2-5x+3}$

We factor to get;

$f(x)=\frac{5(x-1)^2}{(2x-3)(x-1)}$

$f(x)=\frac{5(x-1)}{(2x-3)}$

This function equals zero when

$5(x-1)=0$

$x=1$

QUESTION 3

The given function is

$f(x)=\frac{x^3-8}{x^2-6x+8}$

We factor to get,

$f(x)=\frac{(x-2)(x^2+2x+4)}{(x-2)(x+4)}$

$f(x)=\frac{x^2+2x+4}{x+4}$

The function equals zero when $x^2+2x+4=0$

$D=b^2-4ac$

$D=2^2-4(1)(4)$

$D=-12$

Hence the equation has no real roots.

The complex roots are

$x=-\sqrt{3}i-1$ or $x=-1+\sqrt{3}i$

4 0

3 years ago

ADE

valina [46]

Answer:

7 cups of sugar

Step-by-step explanation:

Find out how many pies Luca need to bake left =

45 - 17 = 28

1 cup of sugar = 4 pies

28 ÷ 4 = 7 cups of sugar

This may be wrong as this was rushed as I have to go for my next class now.

4 0

3 years ago

An ice cream truck was parked near a beach, and some kids ran to it and formed a line. Then, more kids joined the line by fillin

Irina-Kira [14]

Answer:

Step-by-step explanation:

So, we know that this process happened 3 times in total. The original amount of kids we can call x, so the next wave filled in the gaps inbetween, so we call that amount x-1, the next wave would be (x+x-1)-1 or 2x-2, and the last would be 4x-4

adding this all up we get 8x-7=49, so 8x = 56 or x = 7

3 0

2 years ago