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4 years ago

Brisa went shoe shopping this

Mathematics

1 answer:

alukav5142 [94]4 years ago

7 0

Tax: $2

Total: $27

Step-by-step explanation:

Given,

Price of boots = $25

Tax = 8%

Amount of tax = 8% of price of boots

$Amount\ of\ tax = \frac{8}{100}*25\\Amount\ of tax=\frac{200}{100}\\Amount\ of\ tax=\$2$

Total = Price of boots + Tax amount

$Total = 25+2=\$27$

Tax: $2

Total: $27

Keywords: sales tax, addition

Learn more about addition at:

#LearnwithBrainly

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

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Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

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so we can plug these values in the general equation to make 3 separate equations:

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so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

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