Why is it called two real and equal roots b^2 - 4ac = 0 when the straight line touches the curve at one point?

b^2 - 4ac = 0, also defined as two real and equal roots (TWO ROOTS) but why for its graph, the U parabola or curve touches the line at only one point (ONE)
Two roots on one point? Senseless. But it will make sense when b^2 - 4ac > 0; two real and distinct roots; intersects at two points.

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Simple Interest Sum need Help?

I = Prt
7200 = Pr * 4
1800 = Pr
you need two numbers when multiplied that equal 1800
pick a random interest rate
6%
1800 = .06P
30000 = P
Rs 30000 invested at 6% interest for 4 years
you pick the other and solve

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Find the coordinates of the vertex for the parabola defined by the given quadratic function.?

7. f(x) = 7 - (x + 4)2
a. (7, 4)
b. (-4, 7)
c. (4, 7)
d. (7, -4)
thank you!
Sorry, I could not read the content fromt this page.
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Is there a way to simplify the left hand-side of this algebra problem to solve for Y? ((60/s)/4)*60 = Y?

Well, I'm not sure how simplified you want it considering you have two variables in this equation. It seems you already did part of it with (60/s)*60 = 4y.
Just multiply 60*60 which = 3600 then divide by 4, which gives you 900s = Y
The other way you could do it was write it as (60/4s)*60 = Y
Just divide 60/4 = 15 then multiply by 60 to give you 900s = Y
I don't know what the value of s is or what the equation represents but that is probably as simplified as you are going to get without any more information.

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Differentiation with complex numbers?

Given f(z)= [(4+2i)z/(2-i)z^2 + 9i]^3, find f'(z).I got an answer by doing the chain rule then the quotient rule. Is that what I'm supposed to do? Can someone provide the correct answer so I can compare mine to see if I did it right? ThanksAnswer QuestionBe the first to answer this question.
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I'm looking for a good math reference?

Hello people out there. Do you know a good reference for geometry and trigonometry? It'd be nice if the book is easy to read and understand with full of details which I have to learn.


thank you :)

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Probability question help!?

Hey there,

I have been faced with this question and I am a little stuck:

An urn initially has one red ball. Persephone uses a device to select n blue balls with
probability (e^−x) x^n)/n!, for n = 0, 1, 2, . . . , and add them to the urn. She then selects
one ball at random from the urn. Show that the probability that she selects the red ball
is (1 − (e^-x) )/ x.

Regards, Seany.

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Calculate the pH of a 0.10 M solution of hypochlorous acid, HOCl .?

Ka of HOCl is 3.5 x 10 ^-8

pH = ?

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What is the distance, in centimeters, between two cities if it takes a microwave 2.13 x 10^-6 day to travel?

2.13 x 10^-6 day to travel from one city to another?

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How to get rid of lower stomach fat?

Okay so i have little to no fat on my stomach except for right under my belly button. So basically my stomach is all toned then just out of nowhere at the bottom of my stomach is a bulge of fat. It's not big, but since im 5'4 and 109lbs it's pretty noticable. It totally prevents me from wearing the chothes i want. If that one freakin bulge was gone i would be able to wear whatever i want. How can I get rid of it????? D:

Btw i go to the gym every other day and do 35 minutes on the cross trainer and crunches on a machine thingyy.