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4 years ago

How would you ESTIMATE 0.9% of 603?

Mathematics

1 answer:

wariber [46]4 years ago

6 0

0.9<span>% of </span>603<span> = 5.43
so estimated is 5.40</span>

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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

sdas [7]

Answer:

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

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

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

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

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!

5 0

3 years ago

What number is less than -2 4/5 and greater than -31/5

IgorC [24]

Using a calculator, you should find that

-2 & 4/5 = -(2 + 4/5) = -(2+0.8) = -2.8

-31/5 = -6.2

So the unknown number is between -6.2 and -2.8

<h3>Possible whole number answers could be: -6, -5, -4, -3, or -2</h3>

If your teacher allows decimal answers, then there are infinitely many possible ways to answer.

8 0

3 years ago

Write an equation for the parabola: virtex=0,0, directrix= y= -1

Svet_ta [14]

Answer:

So EASY

Step-by-step explanation:

4 0

3 years ago

Brad walked a total of 7/8 of a mile. Brad walked 3/4 of a mile when it was raining. How far did Brad walk when it was sunny?

RideAnS [48]

Answer:

1/8

Step-by-step explanation:

assuming that the rest of what brad walked was sunny

7/8 - 6/8(3/4) = 1/8

4 0

3 years ago

Using the following image, solve for FG.

Elza [17]

Step-by-step explanation:

x+x-7=11

2x+7=11

2x=18

2x/2=18/2 = x=9

9-7=2

So, FG=2

4 0

3 years ago

Read 2 more answers