All Questions ⁺⁰235570 Questions

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Geometry

In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure read more ..

LiIIiam0216 May 5, 2024

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Geometry

Points $A$, $B$, and $C$ are on a circle such that $AB = 8$, $BC = 15$, and $AC = 12$. Find the radius of the circle.

LiIIiam0216 May 5, 2024

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+2653

geometry

In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.

LiIIiam0216 May 5, 2024

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help plz

In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.

LiIIiam0216 May 5, 2024

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help geometry

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

LiIIiam0216 May 5, 2024

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help help

A rectangle in the coordinate plane is shown below. A line with slope 3 splits this rectangle into two regions with equal area. What is the y-intercept of this line?
The rectangle has coordinates (-1,-1), (-1,1), (1,1), and (1,-1). read more ..

LiIIiam0216 May 5, 2024

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+2653

help me

A circle passes through the point $A,$ and is tangent to the $y$-axis at the point $B,$ as shown. Find the radius of the circle.
In the diagram, A = (1,0) and B = (0,1).

LiIIiam0216 May 5, 2024

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+2653

need help

A line and a circle intersect at A and B, as shown below. Find the coordinates of the midpoint of AB.
The circle is x^2 + y^2 = 1, and the line is x + y = sqrt(2).

LiIIiam0216 May 5, 2024

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+355

Pls help

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The read more ..

Lilliam0216 May 5, 2024

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+45

help quick

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$ [asy] unitsize(1 cm); pair P, Q, R; P = (1,3); Q = (0,0); R = (4,0); draw(P--Q--R--cycle); label("$P$", P, N); label("$Q$", Q, SW); label("$R$", R, SE); label("$5$", (P + Q)/2, NW, red);read more ..

rtsdyhfdts May 5, 2024

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+45

geometry help

In right triangle $ABC,$ $\angle C = 90^\circ.$ Median $\overline{AM}$ has a length of $7,$ and median $\overline{BN}$ has a length of $6.$ What is the length of the hypotenuse of the triangle?

rtsdyhfdts May 5, 2024

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+45

geometry help

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 2$, $BY = 24$, $\angle ACB= 90^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

rtsdyhfdts May 5, 2024

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+297

Algebra

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

rtsdylifdts May 5, 2024

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+297

Algebra

Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.

rtsdylifdts May 5, 2024

+1

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+1908

Going Against Math Rules!

You know how the number one rule for square roots is the fact that ?
Well, I got bored, so I tried to find a set of numbers where this actually true!
Not sure if it's possible, but yeah, I couldn't find any?
So, read more ..

NotThatSmart May 5, 2024

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+302

Please help, thank YOU if you try :)

Please Solve the question below, thank you

aboslutelydestroying May 5, 2024

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+297

Algebra

Let f(x) = \left \lfloor \frac{2 - 3x}{3x + 3} \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).

rtsdylifdts May 5, 2024

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+297

Algebra

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

rtsdylifdts May 5, 2024

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Algebra

Consider the two expressions $1$ and $\frac{2x+3}{2x+3}.$
a) Show that the two expressions represent equal numbers when $x=10.$
b) Explain why these two expressions do not represent equal numbers when $x=-\dfrac32.$
c) Show that these read more ..

rtsdylifdts May 5, 2024

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Algebra

Let $a$ and $b$ be the roots of the quadratic $x^2 - 5x + 3 = 2x^2 + 14x + 8.$ Find the quadratic whose roots are 1/(a + 1) and 1/(b + 1).

rtsdylifdts May 5, 2024

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Algebra

Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___x + ____

rtsdylifdts May 5, 2024

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+297

Trig

Let x be an acute angle such that \tan x + \sec x = 0. Find $\cos x$.

rtsdylifdts May 5, 2024

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+297

Trig

Let \theta be an acute angle. If $\cos \theta = \frac{1}{4},$ then what is $\sin \theta?$

rtsdylifdts May 5, 2024

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+527

Algebra

Simplify \frac{4}{1 - \sqrt[3]{3}} + \sqrt[3]{9}.

Pythagorearn May 5, 2024

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