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3 years ago

Identify the domain and range of the relation: (-5,-3), (-2,1), (1,4), (2,5)

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Domain is the x-coordinate and range is the y - coordinate

$\therefore \: domain = \{ - 5, \: - 2, \: 1, \: 2 \} \\ \\ \&\: range = \{ - 3, \: 1, \: 4, \: 5\}$

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Gemiola [76]

$\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$
Answer: 1/36

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3 years ago

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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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3 years ago

21-x=13 telllllllllll mee

BaLLatris [955]

Answer:

$x = 8$

Step-by-step explanation:

$21-x=13 \\ x = 21 - 13 \\ x = 8$

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3 years ago

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20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT

Vesnalui [34]

Answer:

8.a 9.acb

Step-by-step explanation:

good luck

8 0

3 years ago

4-3x2 + x2 + 5x – 7)

kompoz [17]

Answer:

7x - 9

Step-by-step explanation:

1: Multiply the numbers

4 - 3 x 2 + 2x + 5x - 7

4 - 6 + 2x + 5x - 7

2: Add the numbers

4 - 6 + 2x + 5x - 7

-9 + 2x + 5x

3: Combine like terms

-9 + 2x + 5x

-9 + 7x

4: Rearange terms

-9 + 7x

7x - 9

Solution

7x - 9

Can i be brainliest

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2 years ago