All Questions ⁺⁰237767 Questions

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Help

The equation x2+ ax + 2023 = 0 has roots x1 = b + 1 and x2 = 8b2 + 1 for some real number b. Find a + b.
So far I have been trying Vieta's and getting 8b3 + 8b2 + b +1 = 2023, -a = 8b2 + b + 2. And then read more ..

vockeyvockvock May 17, 2023

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139

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help plz

Help Im bad at geometry
In triangle ABC, let the angle bisectors be BY and CZ. Given AB = 16, AY = 16, and CY = 16, find BC and BZ.

Guest May 17, 2023

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84

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If it's fall now, what season was it 9 months ago?

If it's fall now, what season was it 9 months ago?

Guest May 17, 2023

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143

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plz help

In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to line PR. If PQ = 9, QR = 9, and PR = 9, then compute the length of XY. read more ..

Guest May 17, 2023

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154

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Altitudes

I need help with altitudes
Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = , and CF is a positive integer, then find the largest possible value of CF.

Guest May 17, 2023

May 16, 2023

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105

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help!!

How many different combinations of three prime numbers, not necessarily distinct, have a sum of 51?

Guest May 16, 2023

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146

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plz plz help

Im having trouble with this
One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box read more ..

Guest May 16, 2023

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148

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need help asap plzzz

A factory manufactures two types of gadgets, regular and premium. Each gadget requires the use of two operations, assembly and finishing, and there are at most 120 hours available for each operation. A regular gadget requires 1 hour of assembly and 2 hours read more ..

Guest May 16, 2023

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A problem regarding MAD

If the two means of a dataset are different, yet the MAD is equal for both the datasets, how many MADs are being used to compare the two datasets?

MathBozo May 16, 2023

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153

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Fractions

An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?

Guest May 16, 2023

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143

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I have 14 points, but I lose 5. How many points do I have left?

I have 14 points, but I lose 5. How many points do I have left?

Guest May 16, 2023

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149

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The soccer team has 45 raffle tickets to sell. They've sold 8 so far. How many do they have left to sell?

The soccer team has 45 raffle tickets to sell. They've sold 8 so far. How many do they have left to sell?

Guest May 16, 2023

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146

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system

I need help with this
For certain values of k and m, the system
3a + 2b = 2
6a + 2b = k + 3a + mb read more ..

Guest May 16, 2023

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141

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hard geo

In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

Guest May 16, 2023

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135

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help im stuck

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on line AB with a vertex C next to A. Find angle BCD in degrees.

Guest May 16, 2023

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132

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plz help

In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to line PR. If PQ = 9, QR = 9, and PR = 9, then compute the length of XY. read more ..

Guest May 16, 2023

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148

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help me

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

Guest May 16, 2023

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140

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system

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does read more ..

Guest May 16, 2023

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139

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system

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas. read more ..

Guest May 16, 2023

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136

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+62

word problem

If you order 10 or fewer of a certain textbook, they cost $50 each. However, if you order more than 10, then each textbook (starting with the 11th textbook) costs only $40 each, and if you order more than 20, then each textbook (starting with the 21st textbook) read more ..

Tacoflea May 16, 2023

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