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Find the equation of the line that passes through P1 (-2,-7) and P2 (4,10).

Hallo Guest!

Point-direction equation

\(f(x)=\dfrac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)+y_1\)

\(f(x)=\dfrac{10-(-7)}{4-(-2)}\cdot (x-(-2))+(-7)\\ f(x)=\dfrac{17}{6}\cdot(x+2)-7\\ \color{blue}f(x)=\dfrac{17}{6}\cdot x-\dfrac{4}{3}\)

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Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

Hello Guest!

\(y=4x-14\\ k+1=4k-14\\ 3k=15\)

\(k=5\)

\(The\ line\ y=4x-14\ passes\ through\ the\ Point\ (5,6).\)

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Hi Ron,

A post for you ... 

Width => x           Length => x + 2

x = sqrt[10² - (x + 2)²]

x = 6

Find the original fraction.

Hello Guest!

\(\dfrac{n}{d}=x\\ \dfrac{x-2}{d}=x\\ d=\dfrac{x-2}{x}\\ \dfrac{x-2}{\dfrac{x-2}{x}}=x\\ \dfrac{(x-2)+3}{(\dfrac{x-2}{x})+3}=\dfrac{19x}{18}\)

\(x=\dfrac{28}{29}\)

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Plz help if you can  

solve the equation  

106 = 8(k-10) - 7(6k - 12)  

I remember something my plane geometry teacher once said. 

"Go as far as you can, then see how far you can go."

It doesn't always work, but sometimes it does. 

Let's start with the equation as given              106  =  8(k-10) - 7(6k - 12)  

Next, multiply it on out                                     106  =  8k – 80 – 42k + 84  

Combine like terms                                          106  =  –34k + 4  

Subtract 4 from both sides                               102  =  –34k  

Divide both sides by –34                                    –3  =  k  

                                                                             k  =  –3  

_.

Answered here

https://web2.0calc.com/questions/would-u-mind-to-answer

"Pie-O-Mania" bakery bakes pies. They bake 3/4 as many apple pies as banana pies and 5/9 as many cranberry pies as apple pies daily. Given that the bakery bakes 63 more banana pies than cranberry pies daily, how many apple pies does the bakery bake daily?

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Apple pies => A            Banana pies => B             Cranberry pies => C

A = 3x/4                         B = x                                 C = 5(3x/4)/9

B - C = 63 

x - 5(3x/4)/9 = 108         (number of banana pies)

Apple pies      3x/4 = 81

Banana pies     x = 108

Cranberry pies       5(3x/4)/9 = 45

Member

Vivian had a total of 2580 Lego blocks packed into three boxes, A, B, and C. The number of Lego blocks in Box A to that in Box B to that in Box C was 3 : 7 : 5. Vivian gave away 396 Lego blocks from Box B and some Lego blocks in Box C. The number of Lego blocks left in Box C was 1/4 of the number of Lego blocks left in Box B. How many Lego blocks from Box C did she give away?

A : B : C = 3 : 7 : 5 = 516 : 1204 : 860

1204 - 396 = 808      (number of bloks left in box B)

808 / 4 = 202           (number of blocks left in box C)

860 - 202 = 658       (number of blocks she gave away from box C)

The ratio is 9 / 4√3

There are 12 possible values of a.

oh wait i got it it was $163350$

if you tried to help thank you very much

8712

I'm going left to right with the multiplication. Q is across the top, E is down the left.\(\left.\begin{matrix} &11&-5i\\ 3&33&-15i\\ -2i&-22i&-10 \end{matrix}\right] = 23 - 37i\).

Now, we multiply QE by D. \((23-37i) \times 2i = QE \times D = QED = 46i + 74\).
 

Remember, i * i = -1, and -i * i = 1. i is effectively a variable until you are dealing with more than one of them being multiplied.

I think the term for this is "abstract quantity"? It's a value you use like a variable with some exceptions.

This response was not very productive, and does not provide me with any helpful feedback to use to improve. Feedback with the objective of helping people grow would be appreciated more than a response with little thought, depth, or room to grow from. Thank you :)

I'm not entirely confident this answer is correct, as I got a different answer when I did my calculations. Also, it's not terribly helpful to recieve an answer without an explanation to go with it.

If the person doesn't know how to solve the problem, then they don't learn how to solve it in the future. The objective of most teachers is self-obsoletion (in effect, they are tryhing to do their job, so they aren't necessary, in order to succeed.) This forum could also be viewed the same way, as we would like to answer the questions in a way that lets the people solve the remaining ones on their own.

I started by observing the height-of-object to length-of-shadow ratio. We're given both values for the tree, so we simply divide: 40 foot height/10 foot shadow = 4:1 ratio of height:shadow size.

Andrea's shadow is 18 inches long, so we place it into the ratio. 18 inches (Andrea's shadow)/1 (ratio component relating to shadow size) = 18 inches, so we multiply the first value by 18 inches.

This yields 72 inches, rather than 68, as the guest below suggested.

On an exit note, being a little bit taller than normal, I would be somewhat intimidated by someone who's a full 6 feet tall.

Interesting, it seems like that might have been rolled back. It doesn't seem like it's a filter anymore either. That's on me for not keeping up to date with the site

Doesn't work

Did you know that there is an "off-topic" option for making posts to the forum? It's usually nice for things like this so it doesn't bury math questions ;)