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Question 1008925: Solve please:
The entrance to an athletic field is in the shape of a parabolic archway. The archway is modeled by the equation d = 12x = x^2, where d represents the distance, in feet, that the arch is above the ground for any x value.
a. For what values of x will the arch be 20 feet above the ground?
b. How many feet wide is the arch?

Click here to see answer by stanbon(75887)

Question 1008952: The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter leg. Find the length of the shorter leg
Click here to see answer by macston(5194)

Question 1008981: A homeowner hires a mason to lay a brick border around a rectangular patio that measures 8ft by 10 ft. If the total area of the patio and border is 195 ft^2, what is the width of the border?
Click here to see answer by josgarithmetic(39613)

Question 1008914: A model rocket is launched with and intitial velocity of 120 feet per second from a height of 20 feet. The height of the rocket t seconds after it has been launched is given by the function
s(t)=-16t^2+120t+20
question
A) After how many seconds will the rocket reach its maximum height?
B)What will be the maximum height of the rocket?
Click here to see answer by josmiceli(19441)

Question 1008812: 1.A police officer is investigating a crime which occurred in a rectangular field next to a building. He wants to seal the three sides of the area around the scene with 300 m of yellow police tape. What is the maximum area that he can enclose and what are the dimensions of this area? (Hint: Draw a picture and introduce a variable x for the width�think about an expression for the length in terms of x) (6 marks)
PLEASE ANSWER FULL QUESTION GRADE 11 MATH!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1009041: state whether the parabola represented by h(t)=-16t^2+250t opens up or down
why does answer make sense int the context of this problem
Click here to see answer by Alan3354(69443)

Question 1009091: Given (-1,-2) (1,-4) (2,4) find the equation of the quadratic equation.
f(x)=ax^2+bx+c
-2=a(-1)^2+b(-1)+c
-4=a(1)^2+b(1)+c
4=a(2)^2+b(2)+c
-2=a-b+c
-4=a+b+c
4=4a+2b+c
???????
Click here to see answer by josgarithmetic(39613)

Question 1009099: Mike has 400 yards of net and wants to enclose a rectangular area.
1. Express area of A as a function of the width (w).
400=2(w+1)
???????
2. For what value of w is the area the largest?
?????????
3. What is the maximum area?
????????
Click here to see answer by josgarithmetic(39613)

Question 1009139: One square has a side length that is 1 foot greater than that of a smaller square. If the combined area of the two squares is 113 square feet, find the length of the side of the smaller square.
Click here to see answer by josgarithmetic(39613)

Question 1009159: Find three consecutive odd integers such that the product of the first and third is equal to 1 less than twice the second.
It's quite a confusing problem to read, but I wasn't taught this in class because I recently moved schools.
Click here to see answer by josgarithmetic(39613)

Question 1009183: good day,please
if a and b are the roots of the quadratic equation x^2-10x+7=0,find the value of a^4-b^4. show working thanks a lot ....
Click here to see answer by josgarithmetic(39613)

Question 1009238: The square of a positive number increased by 4 times the number is equal to 140. Find the number.
Click here to see answer by fractalier(6550)

Question 1009238: The square of a positive number increased by 4 times the number is equal to 140. Find the number.
Click here to see answer by MathLover1(20849)

Question 1009234: One square has a side length that is 1 footgreater than that of a smaller square. If the combined area of the two squares is 113 feet. find the length of the side of the smaller square.
Click here to see answer by fractalier(6550)

Question 1008816: Solve for t.
h= -64^2+dt+g
Click here to see answer by fractalier(6550)

Question 1009210: John and Bob can clean the house in 3 hours. If each work alone, it would take Bob one hour longer to clean the house than it would take John. How long would it take Bob to clean the house alone?
Click here to see answer by ptaylor(2198)

Question 1009303: How many pounds of chamomile tea that costs $18.50 per pound must be mixed with 18 lb of orange tea that costs $12.26 per pound to make a mixture that costs $14.18 per pound?
Click here to see answer by fractalier(6550)

Question 1009236: An object is launched into the air from a ledge 16 feet off the ground at an initial vertical velocity of 96 feet per second. Find all times that the object is at a height of 160 feet off the ground.
Click here to see answer by Alan3354(69443)

Question 1009336: the function for object dropped from a height where t is the time in seconds, h is the height in feet at time t, and h is the initial height
h(t)=-16t^2+h , height is 50ft I need to know how to figure out how
long it would take to fall to the ground
Click here to see answer by stanbon(75887)

Question 1009425: A rectangular sign must have an area of 23 square yards. its length must be 6 yards more than its width. find the dimensions of the sign?
Click here to see answer by ikleyn(52754)

Question 1009457: find the value of k so that the equation (3k^2)-(2x^2)+5x+3=0 has real and distinct roots.
Click here to see answer by Edwin McCravy(20054)

Question 1009462: A woman drives 10 miles then increases her speed by 10 miles per hour and drives another 25 miles. Find the original speed if she drove for 45 minutes
Click here to see answer by MathLover1(20849)

Question 1009578: a firework is launched from the top of a 50ft building with an initial upward velocity of 150 ft/sec
h(t)=-16t^2+vt+h
t=time, h is initial height, v is the initial velocity in feet per second
1.what is the equation for this situation
2.when will the firework land if it does not explode
3.a table for this situation so that it shows the height from time t=0 unit it hits the ground
4.calculate the axis of symmetry
5.calculate the coordinates of the vertex
6.explain why negative values of t and h(t) do not make sense for this problem
7. graph the situation
Click here to see answer by Boreal(15235)

Question 1009587: 7x^2+5x-2=0 what are the possibilities for x
Click here to see answer by addingup(3677)

Question 1009587: 7x^2+5x-2=0 what are the possibilities for x
Click here to see answer by Alan3354(69443)

Question 1009587: 7x^2+5x-2=0 what are the possibilities for x
Click here to see answer by MathLover1(20849)

Question 1009707: state whether the parabola represented by h(t)=-16t^2+250t opens up or down
Explain why answer make sense int the context of this problem
Click here to see answer by MathLover1(20849)

Question 1009692: THIS IS A TWO PART QUESTION
h(t)=-16t^2+vt+h
you launch a firework from the ground with velocity 70ft per second calculate the maximum height if it is set to explode 3 seconds after launch.
you launch another firework from the ground set to explode at 142ft with initial velocity 56ft per second how long after setting off the firework should the delay be set
Click here to see answer by Alan3354(69443)

Question 1009738: If I have the quadratic function, f(x)= (x^2)-x-12, and I want to find the x-intercept, I have to set y = 0, and factor like so: 0 = (x-4)(x+3).
The questions is: why can't I complete the square or factor like so: 0 = x(x-1)-12 (which leads to 0 = (x-1)(x-12))? Doing either of those alternative techniques results in different x-intercepts.
Click here to see answer by josmiceli(19441)

Question 1009868: Solve the equation by use of the quadratic formula.
3x^2 -5=-4x
Click here to see answer by Alan3354(69443)

Question 1009864: A 22ft by 30ft rectangular plot is surrounded by a walkway of uniform width. If the area of the walkway is 224ft2, what is the width of the walkway?
Click here to see answer by josmiceli(19441)

Question 1009938: What is the vertex of the equation
y=x^2+12x-4.
Click here to see answer by MathLover1(20849)

Question 1009938: What is the vertex of the equation
y=x^2+12x-4.
Click here to see answer by josgarithmetic(39613)

Question 1009941: Simplify the expression (-2i)(8i)
Click here to see answer by jim_thompson5910(35256)

Question 1009941: Simplify the expression (-2i)(8i)
Click here to see answer by MathLover1(20849)

Question 1009942: What are the zeroes of y=x^2+2x-8
Click here to see answer by ikleyn(52754)

Question 1009939: What is the expression in fuctored form
2x^2+16x+24
Click here to see answer by tiffany222(56)

Question 1009940: Use a quadratic formula to solve the equation
x^2-7x-6=0
Click here to see answer by MathLover1(20849)

Question 1010016: What would be a quadratic equation with 7 and -3 as its roots? How would I write the equation in the form ax^2+bx+c=0,where a, b, and c are integers?
Click here to see answer by rothauserc(4718)

Question 1010018: how do I solve while setting the equation to 0 first?
Click here to see answer by MathLover1(20849)

Question 1010024: What's the y-intercept for
Click here to see answer by josgarithmetic(39613)

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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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