Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 11388: A rectangular swimming pool is 8 meters long and 12 meters wide. A tile border of uniform width is to be built around the pool using 120 square meters of tile. How wide should the boarder be ?

Click here to see answer by prince_abubu(198)

Question 11519: I get really lost on square roots and simplifying them
for example (3h-7)^2 = 32 then 3h-7= or- the square root of 32, then 3h=7 +or- the square root of 32, which is h= 7 +or- the square root of 32. Here is where I get extremly lost: how does h=7+or- the square root of 32 become: h= 7 +or- 4 the square root of 2 over 3 Please explain this last step to me. If I can understand why this happens then maybe I'll understand what is going on. I have been on this particular problem for two weeks and no one every puts it in terms I can understand. Why and how does this happen.
-Sarah
Click here to see answer by askmemath(368)

Question 11523: x-4y=8
x=8/-4y
x=-2 over y
2x+y=-3
2x-3=y
2x+y=-3

Click here to see answer by Hassan(2)

Question 11602: In preparation for a party, Heather fills a large jar with gum drops. Before the party begins, Michael see the gum drop jar. He (hoping that no one will realize) takes one-third of the drops. Soon after, Tanya takes one-third of the gum drops (she too hopes that nobody will notice). Finally, Brian appears and, like the others, takes one-third of the gum drops. If forty gum drops are left in the jar, how many did it originally contain?
Click here to see answer by Earlsdon(6287)

Question 11655: Find the product of (3x-5)(2x^2+8x-7)
Click here to see answer by glabow(165)

Question 11652: Please help i don't understand this.
Find the area of the triangle bounded by the lines x=2, y=3 and 8x+5y=40.
Click here to see answer by glabow(165)

Question 11671: PLEASE ANSWER ASAP!!!!
Points A and B are on a parabola y = 4x^2+ 7x -1 and the origin is the midpoint of AB.
***What is the length of AB?
THANK YOU!!!
Click here to see answer by khwang(438)

Question 11622: Find the area of the triangle bounded by the lines x=2, y=3 and 8x+5y=40.
Click here to see answer by khwang(438)

Question 11691: Simplify: (-3a^2b^-2)^2 / (5a^3)^2
Thanks guys for your help, this is a huge help
Click here to see answer by vasu2qute(17)

Question 11856: If two numbers differ by 6, then what is the least possible value of their product?
Click here to see answer by rapaljer(4667)

Question 12122: Thank you in advance for your help! The question is: Suppose z varies directly as x and inversely as the square of y. If z= 1/4 when x =6 and y =8, find z when x =9 and y =2.
Click here to see answer by longjonsilver(2297)

Question 12135: I'm having a rough day! Here's another mind boggler that the book doesn't explain the steps to. Decompose into partial fractions:
5x + 7/ x^2 + 2x -3
Click here to see answer by rapaljer(4667)

Question 12272: what is 10y-13=3y+8
Click here to see answer by elima(1433)

Question 12272: what is 10y-13=3y+8
Click here to see answer by Bluidangel(2)

Question 11701: In a distant planet, there are four forms of life beings: zadohs, pugwigs, kahoots, and zingzags. All zadohs are pugwigs. Some pugwigs are kahoots. All kahoots are zingzags.
Which of the following statement(s) must then be true?
a. Some zadohs are zingzags.
b. Some kahoots are zadohs.
c. All kahoots are pugwigs
d. Some zingzags are pugwigs.
e. All zingzags are zadohs.
f. Some zadohs are kahoots.

Click here to see answer by LilDrama(1)

Question 12275: what is 3y+4=5y+6. I really don't understand it's so confuseing. i try and try ijust can't seem to get the hang of this algebra i'm tryong to bring my grade up so i can play bball but the way it's going in math i just don't know. i know you don't want to here my sad story but i really need to know how to do algebra.
Click here to see answer by glabow(165)

Question 12391: U is the midpoint of line segment XY. If XY = 16x – 6 and UY = 4x + 9, find the value of x and the measure of XY.
Click here to see answer by akmb1215(68)

Question 12390: The midpoint of line segment of RQ is P(4, -1). Give two possible coordinates of R and of Q.
Click here to see answer by akmb1215(68)

Question 12388: One of the pitchers of the Chicago Cubs has a fastball that is electronically timed at 97.49 mph. Home plate is 17 inches long. How much time (in seconds) does the center of the ball take to pass directly over the plate?
Click here to see answer by akmb1215(68)

Question 12387: What is the smallest whole number that, when multiplied by 3, gives an answer consisting of all 4’s?
Click here to see answer by kusha(21)

Question 12389: Find the length of line segment JK for J(9, -5) and K(-6, 12).
Click here to see answer by askmemath(368)

Question 12386: Suppose a wooden cube measures eight units on a side. If you cut the cube into eight identical smaller cubes, how long is a side of one of the smaller cubes?
Click here to see answer by askmemath(368)

Question 12429: Question:
x²+y²=13
2x+y=1
I then tried to solve by substitution:
y=1-2x
x²+(1-2x)²=13
I then got a bit muddled up and wasn't sure how to expand (1-2x)²
But the answer i got would not factorise into two brackets so i decided to use the quadratic formula:
-b+/- sqrt ......
but this did not get the correct answer of:
x=-1.2, y=3.4
x=2, y=-3
Please help me because i don't have a clue what to do next!
Click here to see answer by rapaljer(4667)

Question 12560: I am trying to learn about the quadratic equations. I know how to turn (3x-4)(2x+1)=0, but I don't know how to turn 6x^2 -5x -4=0 into (3x-4)(2x+1)=0.
-Sarah
Click here to see answer by Earlsdon(6287)

Question 12589: Hi
I'm having trouble with the following questions, i would be grateful if you could help me out, they are questions that i came across while revising for a test i've tried my hardest to solve them but i cant work it out (Can you please provide me with thier answers, i think i can figure them out if i have an answer to work from.)
The questions are:
1.What is the axis of symmetry for the following parabola?
y = x² + 4x
2.What is the axis of symmetry for the following parabola?
y = x(4 - x)
3.What is the vertex of the following parabola?
y = 4x² - 8
4.Factorise the following quadratic expression
2x² - 3x - 2
I've tried but i cant solve those answers
Thnkyou very much
Yours sincerly
Vinny

Click here to see answer by Earlsdon(6287)

Question 12588: I'm supposed to find a family of quadratic equations passing through the points (1,0) and (-1,-2), using the general form y=Ax^2+Bx+C. So far, here's what I got:
1) Plugged in both points to the general form, giving me 2 distinct equations:
0=A+B+C
0=A-B+C+2
2) Made them equal to each other, giving me B=1
3) Subbed B=1 into either equation to get A=-C-1 and C=-A-1
Now this is the point where I get stuck, since if I use both B=1 and A=-C-1 to get the final two variables, I end up with nothing. Please help, and thanks so much!
-Bing
Click here to see answer by rapaljer(4667)

Question 12552: Angle G is supplementary to angle H. Find the measure of each angle if angel G = (7x + 10) degrees, and angle H = (3x) degrees. Thanks for the help!
Click here to see answer by AdolphousC(70)

Question 12551: Angle ABC and angle DEB are vertical angles. Angle ABC = (4x + 50) degrees, and angle DEB = (2x + 60) degrees. Find x.
Click here to see answer by AdolphousC(70)

Question 12550: Complete the sequence: 19, 5, 17, 21, 5, 14, 3, ____. Explain your answer.
Click here to see answer by askmemath(368)

Question 12639: I need help on answering this quadratic problem Please. 6r
square + 24r+15. Please give details on how to solve it. Thanks
Click here to see answer by AdolphousC(70)

Question 12654: solve this please
3x+2y-z+8
-3x+4y+5z=-14
x-3y+4z=-14
Use linear combinations AND substitution.
thanks very you much!
Click here to see answer by AdolphousC(70)

Question 12636: Hi all,
One more question and I should be about done with algebra for awhile. The directions here say to solve for the roots.
p^2+15p+25=6p+5
I have no clue how to do this.
Thanks for the help
Click here to see answer by AdolphousC(70)

Question 12750: yes I am trying to add and simplify the following:
(8 + 9i) + (7 - 8i)
multiply
(-2 + 6i)2 power
Click here to see answer by glabow(165)

Question 12730: please help me. solve the following.
2m - 5
------- = 3
9
First thing you do is multiply both sides by 9.
(2m-5)(9)/9 = 3(9)
The nines should cancel
2m - 5 = 3 x 9
We know that 3 x 9 = 27
2m -5 = 27
Then add 5 to both sides
2m - 5 + 5 = 27 + 5
The 5's cancel each other
2m = 32
divide both sides by 2
2m/2 = 32/2
m = 16
Click here to see answer by rahman(247)

Question 12894: This has been stumping me for a while...can't seem to get it. Find the equations of the asymptotes for y = 1/square root of x - 1.
Click here to see answer by longjonsilver(2297)

Question 12949: urgent!!!!solve this problem............
by application(algebra for 2nd year)
1.the product of two consecutive integers is 240.Find the two integers.
2.find the length and width of a rectangle whose area and perimeter are 51 sq.m. and 40 m.,respectively.
I need it right now plsasssss!!!!!!!!!!!!!!!
clear the steps in solving it............
Click here to see answer by askmemath(368)

Question 13114: Hi I have one last problem that Icannot figure out. Someone help please..
The directions say to write in standard form and determine the values of a, b, and c.
3x^2+10x+8=-17x-2
Thanks for the help
Click here to see answer by akmb1215(68)

Question 13295: Simplifify
6x^2y^2 + 11xy + 4 all divided by
9x^2y^2 + 9xy - 4
I've tried and i cant get it to simplify, does it even simplify
Click here to see answer by rapaljer(4667)

Question 13302: THE OWNERS MANUAL FOR A STRING TRIMMER SAYS THAT A 16:1 RATIO OF GASOLINE TO 2 CYCLE OIL MUST BE USED FOR ITS FUEL. hOW MANY GALLONS OF GASONLINE WOULD BE NEEDED TO GO WITH AN 8OZ. PACKET OF OIL, ID 1 GALLON IS EQUAL TO 128 OUNCES?
Click here to see answer by rapaljer(4667)

Question 13443: Find a counterexample to the following statement:
If p is a prime number, then 2p-1 is prime.

Click here to see answer by rapaljer(4667)

Question 13525: I need help solving this quadratic equation:
(x-2)^2+x^2=10
Click here to see answer by Earlsdon(6287)

Question 13530: Can you explain how to solve 8x^2-6x-9=0?
Click here to see answer by Earlsdon(6287)

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