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2 years ago

Complete the equation of the line through (3, -1) and (4, 7)

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7-(-1))/(4-3)(x -3) +(-1)

y = 8(x -3) -1

y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

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How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

1 year ago

Read 2 more answers

What is the domain of the given function?

kari74 [83]

B would be the correct answer

5 0

2 years ago

Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After

neonofarm [45]

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

On 4 different days, he bought 2 movies.
On 2 other days, he bought 3 movies each day.
After that he sold 2 sets of 2 movies.
He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

8 0

3 years ago

Match the US customary measurement units on the left with their approximate equivalents on the right. Not all the options on the

sergeinik [125]

So... 1 foot = 30 cm
1 pound = 2 pounds
1 cup = 250 millilitres

I hope that helps!

5 0

2 years ago

What is the equation of the line that passes through the point (8,-8) and has a slope of fraction -1/4

aev [14]

Answer:

y=-1/4x-6

Step-by-step explanation:

The equation of a line is:

y=mx+b (slope-intercept form) where m is the slope and b is the y-intercept. x and y are the x and y coordinates for a point on the line.

Now that we know the equation, we plug in the given numbers into the equation:

y=mx+b

-8=-1/4(8)+b

-8=-2+b

b=-6

Now we know the y-intercept so the equation is:

y=-1/4x-6

7 0

2 years ago

Complete the equation of the line through (3, -1) and (4, 7)​

Complete the equation of the line through (3, -1) and (4, 7)