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3 years ago

Question is the picture pls help if you can!!

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

Answer:

median = 2

mode = 0

Range = 10

Step-by-step explanation:

mark branliest

and if you need help just ask

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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

Which equations show the identity property of multiplication?

Lady bird [3.3K]

My answer is a and c becuase they equal the same on each side

3 0

3 years ago

i need to help write the equation in vertex form for the parabola with vertex at ( 2,-1) and y - intercept 5

densk [106]

Answer: y= 5/2(x-2)^2 - 1

Step-by-step explanation:

y=a(x-2)^2 - 5

5=a(0-2)^2 - 5

10=a(-2)^2

10=a4

a=10/4 or 5/2

5 0

4 years ago

Which relation is a function

Marina CMI [18]

Answer:

Step-by-step explanation:

A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.

Draw vertical to check if there is one output for one input.

Hope it is useful...

6 0

3 years ago

Solve 5x^2 + 16 = 10 by using the quadratic formula<br><br>ax^2 + bx + c = 0

bagirrra123 [75]

2 Imaginary Solutions

5 0

3 years ago

Question is the picture pls help if you can!!​

Question is the picture pls help if you can!!