Math Problem a Day @Math_365
Promoting #math every day of the year! Grade 6-12 math problems of the day. USA Joined April 2013-
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To graph the curve given by the formula, 2 = x^2 + y^2 / (1/4) , Anne needed to make sure the constant on the left of the equal sign was 1. What did Anne do wrong? Anne’s equation 1 = x^2/2 + y^2/(1/8)
4
2
3
0
0
Where do a circle, centered at the origin, having radius 2, and an elipse, also centered at (0,0), having points (0,3) and (1,1), intersect?
Solve for a and b. Put in terms of x if needed. (6^3)/(2^x)=(2^a)*(3^b)
If y=mx intersects y=ax^2+bx+c at only one point, find the coordinates of that intersection in terms of a, b, and c.
Create a system of equations, you do not need to solve it, to find the sine of 10 degrees.
Can a trapezoid be made from 4 line segments having lengths of 3, 4, 5, and 6 units?
Use the discriminant to show that if y=mx+B intersects y=ax^2+bx+c at only one point then m=2ax+b.
If y=n intersects y=ax^2+bx+c at 1 point, use the discriminant to show x must be equal to -b/2a.
Find the area of a right triangle if the lengths of the median to the hypotenuse is 5 and the altitude to the hypotenuse is 4.8.
If sqrt(a) + sqrt(b) = 2 and sqrt(a) - sqrt(b) = 3 then find a + b.
On the 1st day of Christmas, you are given 1 penny. Each day you are given 2x the day before. How much total will you have on the 12th day?
Where does x^2 + y^2 = 1 and y = |1 - (1/2)x| intersect?
A right triangle has a leg length of 10. Find the length of the other leg if the area of the triangle is equal to the perimeter.
Find the next 2 numbers in the sequence, 3, 2, 1, 1, 3, 8, 17, 31
A side of a square has endpoints at (7,2) and (1,3). Find the possible coordinates of the other 2 vertices of the square.
If 3 roses and 2 tulips cost $1.50 more than 2 roses and 3 tulips then how much more does a rose cost than a tulip?
A game guild has 113 members with an average player level of 51. 17 members were added having an average lvl of 21. What is the mean now?
What is the domain and range of f(x) = sqrt(1/(1-x^2))?
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