All Questions ⁺⁰231223 Questions

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Question-Algebra

Q:
a^2+b^2+c^2=109
abc=24
a+b+c=15 read more ..

sussusus Apr 28, 2024

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+1679

angles

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 62^\circ$ and $\angle STU = 29^\circ$, read more ..

wiseowl Apr 28, 2024

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+1679

question

In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 13$, $SU = 14$, $TU = 4$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$, read more ..

wiseowl Apr 28, 2024

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+291

Geometry

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

Pythagorearn Apr 28, 2024

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+291

Geometry

In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.

Pythagorearn Apr 28, 2024

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Geometry

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF which intersect at I. If DI=3, BD=4 and BI=6 then compute the area of triangle BID.

Pythagorearn Apr 28, 2024

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+359

Trapezoid

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

ChiIIBill Apr 28, 2024

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+1072

help plz

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

kittykat Apr 28, 2024

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+403

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid read more ..

magenta Apr 28, 2024

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Could anyone help me for a second?

The question is: Find the number of ways of arranging the first six numbers in a row such that the product of any two adjacent numbers is even.

nickydickydoodah Apr 28, 2024

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+73

Help plss

What's the coefficient of the term in the expansion of ?

Hi69420 Apr 28, 2024

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+1040

Algebra

Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

LiIIiam0216 Apr 28, 2024

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+1040

Algebra

Find the minimum value of 9^x - 2 \cdot 3^x + 1 over all real numbers x.

LiIIiam0216 Apr 28, 2024

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+1040

Algebra

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/2 of the total load her four trucks combined can carry. Based on these read more ..

LiIIiam0216 Apr 28, 2024

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+1040

Algebra

The product $(3-\sqrt{5})(4+\sqrt{5})(1+6\sqrt{5})$ can be expressed in the form $a+b\sqrt{5}$, where $a$ and $b$ are integers. Find $a+b$.

LiIIiam0216 Apr 28, 2024

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+1040

Algebra

My street hockey team plays three games each week. My team lost all $9$ games in the first three weeks. Then, my team won one game and lost two games in the fourth week, bringing our record to $1$ win and $11$ losses. Each week after that, my team read more ..

LiIIiam0216 Apr 28, 2024

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+1040

help algebra

When the same constant is added to the numbers $a,$ $b,$ and $c,$ a three-term geometric sequence arises. If $a = 60,$ $b = 100,$ and $c = 140,$ what is the common ratio of the resulting sequence?

LiIIiam0216 Apr 28, 2024

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+1040

help quick

Let a_1, a_2, a_3, \dots, a_8, a_9, a_{10} be an arithmetic sequence. If $a_1 + a_3 = 5$ and $a_2 + a_4 = 6$, then find $a_1$.

LiIIiam0216 Apr 28, 2024

Apr 27, 2024

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+4

Halp Quick!

Give an example of a quadratic function that has zeroes at x=2and x=4, and that takes the value 6 when x=3. Enter your answer in the expanded form "ax^2 + bx + c", where a,b,c are replaced by appropriate numbers.

MeldHunter Apr 27, 2024

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+291

Algebra

Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.

Pythagorearn Apr 27, 2024

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+291

Algebra

Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.

Pythagorearn Apr 27, 2024

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+291

Algebra

Find all $z$ such that neither $2+z-5z$ nor $2-z+8z$ is in the interval $(-7,13]$. Express your answer as an interval or as a union of intervals.

Pythagorearn Apr 27, 2024

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+291

help algebra

Find all $w$ so that neither $-2(6+2w)\le -16 + 7w$ nor $-3w\ge 18 - 5w + 3$.

Pythagorearn Apr 27, 2024

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