BlackoutMiIkshake

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The complete graphs of the functions f(x) and g(x) are shown below.
What is the largest value of $f(x)-g(x)$?

BlackoutMiIkshake Apr 21, 2026

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The graph of y = f(x) is shown below.
What is f(-2.33)+f(-0.81)+f(0.81)+f(2.33)?

BlackoutMiIkshake Apr 21, 2026

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The graph of y = g(x) is shown below.
What is the value of g(g(-1))?

BlackoutMiIkshake Apr 21, 2026

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The graph of y = p(x)/q(x) is shown below, where p(x) and q(x) are quadratic. (Assume that the grid lines are at integers.)
The horizontal asymptote is x = 0 and the only vertical asymptote is y = 0. Find p(3)/q(3)

BlackoutMiIkshake Apr 20, 2026

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Triangle ABC is rotated clockwise about A to triangle $AB'C',$ as shown in the diagram. We know the length of the path taken by vertex $B$ is $6.$ What is the length of the path taken by vertex $C?$

BlackoutMiIkshake Apr 20, 2026

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Two circles C_1 and C_2 are shown below. Find the radius of the circle that is externally tangent to both $C_1$ and $C_2,$ and tangent to the $x$-axis.

BlackoutMiIkshake Apr 20, 2026

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CPhill i need answer

Let ABCDE be an equilateral pentagon. If the pentagon is concave, and $\angle A = \angle B = 90^{\circ},$ then what is the degree measure of $\angle E$?

BlackoutMiIkshake Apr 7, 2026

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An equilateral triangle, a regular heptagon, a square, a 20-gon, a regular pentagon, a regular hexagon, and a regular n-gon, all with the same side length also completely surround a point. Find n.

BlackoutMiIkshake Apr 7, 2026

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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 ..

BlackoutMiIkshake Apr 7, 2026

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Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[ABD]=8$ and $[PBC]=8$, then what is $[PAB]$?

BlackoutMiIkshake Apr 7, 2026

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Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[PBC] = 15$ and $CD = 3 \cdot AD,$ what is $[ABCD]$?

BlackoutMiIkshake Apr 7, 2026

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i need help CPhil

There exists a polynomial $f(x)$ and a constant $k$ such that
(x^2 - 2x - 5) f(x) = 2x^4 + 19x^3 + kx^2 - 15x - 1.
What is $k?$

BlackoutMiIkshake Apr 7, 2026

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Suppose the domain of f is (-1,3). Define the function g by
g(x) = f((x + 1)(x - 2)).
What is the domain of g?

BlackoutMiIkshake Apr 7, 2026

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help me Cphil

Point P lies in regular hexagon ABCDEF such that [ABP ] = 3, [CDP] = 3, and [EFP] = 3. Compute [BCP].

BlackoutMiIkshake Apr 7, 2026

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Cphil help me

Regular hexagon ABCDEF is inscribed in rectangle PQRS. If [AFP] = 20 and [ABC] = 25, then find [ABCDEF].

BlackoutMiIkshake Apr 7, 2026

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CPhill help me

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

BlackoutMiIkshake Apr 7, 2026

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In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

BlackoutMiIkshake Apr 7, 2026

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In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BZ$.

BlackoutMiIkshake Apr 7, 2026