All Questions ⁺⁰234657 Questions

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20

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help!!

All the sides of a triangle have integer length. The perimeter of the triangle is 50 and the triangle is isosceles. How many such non-congruent triangles are there?
In how many ways can we choose one number from the set read more ..

matheater232 Nov 9, 2023

0

12

3

+12

help urgent

The distance from Capital City to Little Village is 51 miles. From Capital City to Yourtown is 37 miles, from Mytown to Little Village is 8 miles, and from Yourtown to Mytown is 96 miles. How far is it from Mytown to Capital City?

matheater232 Nov 9, 2023

0

32

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+1678

quadratic

For what real values of $k$ does the quadratic $12x^2 + kx + 27 = 6x^2 + 12x + 18$ have nonreal roots? Enter your answer as an interval.

wiseowl Nov 9, 2023

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47

0

+1678

system

Find all ordered pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 32 + 2xy$.
For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).

wiseowl Nov 9, 2023

0

37

0

+1678

quadratic roots

The roots of the quadratic equation $z^2 + bz + c = 0$ are $4 + 2i$ and $-5 + 8i$. What is $b+c$?

wiseowl Nov 9, 2023

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24

0

+1678

help quadratic

Find all values of $x$ such that
\frac{x}{x - 5} = \frac{4}{2x - 4} + 2x

wiseowl Nov 9, 2023

0

34

0

+1678

help with equation

Find all solutions to the equation $x^2 - 11x - 42 = -2x + 10 - x^2 - 5x + 16$.

wiseowl Nov 9, 2023

0

44

0

+1678

binomial

Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.

wiseowl Nov 9, 2023

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38

0

+1678

binomials

For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?

wiseowl Nov 9, 2023

0

42

0

+1678

Solve

Find all real values of $t$ that satisfy the equation
(t^2 - 13)*2 = 144.

wiseowl Nov 9, 2023

0

42

0

+1678

Algebra

Solve for $c$ in $(c - 7)^2 = 81 + 5c$.

wiseowl Nov 9, 2023

Nov 8, 2023

0

38

1

+743

circles

Let $\mathcal{R}$ be the circle centered at $(0,0)$ with radius $15.$ The lines $x = 8$ and $y = 1$ divide $\mathcal{R}$ into four regions $\mathcal{R}_1$, $\mathcal{R}_2$, $\mathcal{R}_3$, and $\mathcal{R}_4$. Let $[\mathcal{R}_i]$ denote the read more ..

bingboy Nov 8, 2023

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22

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+743

help plz

In triangle $ABC$, point $X$ is on side $\overline{BC}$ such that $AX = 13,$ $BX = 13,$ $CX = 12,$ and the circumcircles of triangles $ABX$ and $ACX$ have the same radius. Find the area of triangle $ABC$.

bingboy Nov 8, 2023

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25

0

+743

triangle

The vertices of triangle $ABC$ lie on the sides of equilateral triangle $DEF$, as shown. If $CD = 1$, $CE = BD = 3$, and $\angle ACB = 60^\circ$, then find $AE$.

bingboy Nov 8, 2023

0

50

0

+743

help hard geometry

Triangle $XYZ$ is equilateral. Points $Y$ and $Z$ lie on a circle centered at $O,$ such that $X$ is the circumcenter of triangle $OYZ,$ and $X$ lies inside triangle $OYZ.$ If the area of the circle is $48 \pi,$ then find $\angle YOZ$. read more ..

bingboy Nov 8, 2023

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46

0

+743

trianlges

In triangle $PQR,$ let $X$ be the intersection of the angle bisector of $\angle P$ with side $\overline{QR}$, and let $Y$ be the foot of the perpendicular from $X$ to side $\overline{PR}$. If $PQ = 3,$ $QR = 3,$ and $PR = 4,$ then compute the length read more ..

bingboy Nov 8, 2023

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29

0

+743

help geometry

In square $ABCD,$ $P$ is on $\overline{BC}$ such that $BP = 4$ and $PC = 1,$ and $Q$ is on $\overline{CD}$ such that $DQ = 1$ and $QC = 4.$ Find $\sin \angle PAQ.$

bingboy Nov 8, 2023

0

48

0

+743

area

Let $G$ be the centroid of triangle $ABC$. If triangle $ABG$ is an equilateral triangle with a side length of $2,$ then find the perimeter of triangle $ABG$.

bingboy Nov 8, 2023

0

30

0

+743

area

In square $ABCD,$ $M$ is the midpoint of $\overline{AB},$ and $N$ is the midpoint of $\overline{CD}$. If the side length of the square is $1,$ then find the area of the shaded region.

bingboy Nov 8, 2023

+1

19

3

+5

Please explain how to do this

As shown in the diagram, points B and D are on different sides of AC. We know that and that . What is the distance between the circumcenters of and ?

Zorrroooorroooo Nov 8, 2023

0

47

0

+1887

magnitude

We can represent complex numbers geometrically by plotting them on the "complex plane", just like we plot points on the Cartesian plane. The real part of the complex number is the horizontal coordinate and the imaginary part is the vertical coordinate. read more ..

tomtom Nov 8, 2023

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26

1

+4

solving systems of linear equations: advanced

what value of 'r' does the system of linear equations have infinite many solutioins?
x+6y=r-2x
2(x+4)+2y=11+1/2(16+2x)

srrw011 Nov 8, 2023

0

45

0

+1887

need help

Describe all solutions to zw -3w - 2iw + 4iz = - 8 + 12i where z and w are complex numbers.

tomtom Nov 8, 2023

0

45

0

+1887

integers

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.

tomtom Nov 8, 2023

0

40

1

+1887

complex numbers

Fill in the blanks with real numbers
(sqrt(3) + i)*6i = ___ + ___i

tomtom Nov 8, 2023

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