All Questions ⁺⁰236050 Questions

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+478

Algebra

In the diagram below, chords $\overline{AB}$ and $\overline{CD}$ are perpendicular, and meet at $X.$ Find the diameter of the circle.

ChiIIBill Apr 29, 2024

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30

1

+478

Algebra

One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
x^2 - 2x + 1
x^2 - 4x - 4
x^2 + 6x - 9 read more ..

ChiIIBill Apr 29, 2024

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29

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+478

Algebra

Let $a$ and $b$ be the roots of $x^2 + 7x - 4 = -x^2 + 9x + 6$. Find $(a + 3) + (b + 3).$

ChiIIBill Apr 29, 2024

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13

2

+58

geometry

In triangle PQR, M is the midpoint of . Let X be the point on such that bisects and let the perpendicular bisector of intersect at Y. If PQ = 36, PR = 22, and MY = 8, then find the read more ..

Starry Apr 29, 2024

+1

22

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+1768

Geometry

Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

bader Apr 29, 2024

Apr 28, 2024

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23

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+1768

Square

In the diagram, $ABCD$ is a square. Find $PR.$

The side length of the square is 10. L, M, N, O are midpoints.

bader Apr 28, 2024

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23

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+1768

Trianlge

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 45^\circ,$ $\angle ABC = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

bader Apr 28, 2024

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21

0

+1768

Altitudes

In triangle $ABC,$ $AB = 15,$ $BC = 10,$ and $AC = 12.$ Find the length of the shortest altitude in this triangle.

bader Apr 28, 2024

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21

1

+1557

Geometry

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 5,$ and $CX = 5$. What is $BX$?

parmen Apr 28, 2024

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13

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+1557

Geometry

In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle. Find the number of sides in this regular polygon.

parmen Apr 28, 2024

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20

1

+1557

Geometry

A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.

parmen Apr 28, 2024

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8

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+12

What is the smallest positive integer n such that root(4)(1323*n) is an integer?

What is the smallest positive integer n such that root(4)(1323*n) is an integer?

Ironwolfyyy Apr 28, 2024

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31

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+1234

help counting

In how many ways can we distribute 13 pieces of identical candy to 3 kids, if the two youngest kids are twins and insist on receiving an equal number of pieces?

Akhain1 Apr 28, 2024

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29

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+1234

help counting

A coin is tossed $12$ times. How many different sequences of tosses could there have been, if the number of heads was at least $5?$

Akhain1 Apr 28, 2024

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37

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+1234

help counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $2000,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

Akhain1 Apr 28, 2024

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16

2

+54

The point (8,2) is on an asyptote of the hyperbola x^2/a^2-y^2/b^2=1. What is |a/b|?

The point (8,2) is on an asyptote of the hyperbola x^2/a^2-y^2/b^2=1. What is |a/b|?
Plz only give hints.

RedDragon1 Apr 28, 2024

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