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2 years ago

2. The ratio is 3:1. How many parts are there?

Mathematics

1 answer:

Nataly [62]2 years ago

7 0

Answer:

There will be four parts

Step-by-step explanation:

lets say there are three green balloons and one yellow balloons. The ratio will be 3:1

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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!

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2 years ago

Audrey and Lauren began reading a novel on the same day. Audrey reads 15 pages a day and Lauren reads 5 pages a day. If Audrey i

Maru [420]

Lauren is on page 25. Since 75/15 is 5 that means she read fro 5 days. And they started at the same time so 5*5 is 25

4 0

3 years ago

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Madison withdrew $22 from her bank account on Thursday and then deposited $10 on Friday. What integer represents the change in h

kotykmax [81]

Answer:

there was a -12 integer change

Step-by-step explanation:

-22 + 10 = -12

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2 years ago

Completes the equation 26×72=_+40+420+12

Anarel [89]

26 x 72 = 1872
40 + 420 + 12 = 472
1872 - 472 = 1400 (the answer)

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3 years ago

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What is<br> 3/2^2 equal to

postnew [5]

Answer: SQUARE ROOT OF 8

Step-by-step explanation: 2^3^1/2 is SQUARE ROOT OF 8. GOD BLESS

- FRIEND TO DINO

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1 year ago

2. The ratio is 3:1. How many parts are there?​

2. The ratio is 3:1. How many parts are there?