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2 years ago

What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

Answer:

Step-by-step explanation:

This line equation is in y = mx + b form m will be the slope

m = 5 parallel line will have same slope = 5

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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

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sveticcg [70]

Answer:

a: 12 cm

b: I think it's 2.5 cm but someone might have to double check that

Step-by-step explanation:

7 0

3 years ago

Ryan has 8 kittens. Two are white. Julie has 4 kittens. The fraction of the kittens that are not whites the same for Ryan and Ju

Studentka2010 [4]

Answer:

2/4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help, I need an explanation because I'm confused on how to do this.

gladu [14]

Answer:

15°

Step-by-step explanation:

If CB is a diameter, the arc BKAC is a semicircle and has a degree measure of 180. If the measure of angle BCK is 20 and it is an inscribed angle, then the measure of the arc it intercepts is twice that. So arc BK measures 40 degrees. That means that arc KA has a measure that is found by subtracting arc AC and arc BK from 180. 180 - 40 - 110 = 30. If that arc is 30 and the angle that intercepts it is inscribed, then the angle measure is half the measure of the arc. So the angle is 15°

3 0

4 years ago

The monthly revenue, f(x) for the Sweet Treats Ice Cream truck

irakobra [83]

Answer:

The vertex is (-4, -52), and it represents the minimum for the function.

Step-by-step explanation:

3 0

3 years ago