oliviapow06

59 Questions
4 Answers

+1

427

1

+205

clever algebraic manipulations

Assuming x, y, and z are positive real numbers satisfying:
\begin{align*}
xy-z&=15, \\
xz-y&=0, \text{ and} \\
yz-x&=0,
\end{align*}
then, what is the value of $xyz$?

oliviapow06 9 мар. 2021 г.

+2

610

1

+205

lengths in circles

A fly is on the edge of a ceiling of a circular room with a radius of 58 feet. The fly walks straight across the ceiling to the opposite edge, passing through the center of the circle. It then walks straight to another point on the edge of the circle but прочитайте больше ..

oliviapow06 9 мар. 2021 г.

+2

403

2

+205

Clever Algebraic Manipulations

Assuming x, y, and z are positive real numbers satisfying:
\begin{align*}
xy-z&=15, \\
xz-y&=0, \text{ and} \\
yz-x&=0,
\end{align*}
then, what is the value of $xyz$?

oliviapow06 8 мар. 2021 г.

0

468

1

+205

Quadrilaterals

Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length $\sqrt{89}$ units and diagonals that differ by 6 units?

oliviapow06 5 мар. 2021 г.

0

468

1

+205

Graphing Functions

Given that the point $(4,7)$ is on the graph of $y=3f\left(2x\right)+1$, there is one point that must be on the graph of $y=f(x)$. What is the sum of coordinates of that point?

oliviapow06 5 мар. 2021 г.

0

505

1

+205

help?????

Rationalize the denominator of $\displaystyle \frac{1}{\sqrt[3]{3} - \sqrt[3]{2}}$. With your answer in the form $\displaystyle \frac{\sqrt[3]{A} + \sqrt[3]{B} + \sqrt[3]{C}}{D}$, and the fraction in lowest terms, what is ?$A + прочитайте больше ..

oliviapow06 5 мар. 2021 г.

0

627

1

+205

Spheres

The interior of a right, circular cone is 8 inches tall with a 2-inch radius at the opening. The interior of the cone is filled with ice cream, and the cone has a hemisphere of ice cream exactly covering the opening of the cone. What is the volume of ice прочитайте больше ..

oliviapow06 3 мар. 2021 г.

0

709

1

+205

Similar Triangles

What is the minimum number of equilateral triangles, of side length 1 unit, needed to cover an equilateral triangle of side length 10 units?

oliviapow06 3 мар. 2021 г.

-1

488

1

+205

Bisectors in a Triangle

The triangle $\triangle ABC$ is an isosceles triangle where $AB = 4\sqrt{2}$ and $\angle B$ is a right angle. If $I$ is the incenter of $\triangle ABC,$ then what is $BI$?
Express your answer in прочитайте больше ..

oliviapow06 3 мар. 2021 г.

-1

427

1

+205

Bisectors in a Triangle

What is the radius of the circle inscribed in triangle $ABC$ if $AB = 15,$ $AC = 41,$ and $BC = 52$?

oliviapow06 3 мар. 2021 г.

-1

531

1

+205

Bisectors in a Triangle

What is the radius of the circle inscribed in triangle $ABC$ if $AB = 12, AC=14, BC=16$? Express your answer in simplest radical form.

oliviapow06 3 мар. 2021 г.

-1

815

1

+205

Special Right Triangles

In pentagon $ABCDE$, $BC=CD=DE=2$ units, $\angle E$ is a right angle and $m \angle B = m \angle C = m \angle D = 135^\circ$. The length of segment $AE$ can be expressed in simplest radical form as $a+2\sqrt{b}$ units. прочитайте больше ..

oliviapow06 3 мар. 2021 г.

-1

502

1

+205

spheres

A sphere is inscribed in a cube. What is the ratio of the volume of the inscribed sphere to the volume of the cube? Express your answer as a common fraction in terms of $\pi$.

oliviapow06 1 мар. 2021 г.

-1

411

1

+205

cylinders

A pipe with inside diameter 10'' is to carry water from a reservoir to a small town in an arid land. Neglecting the friction and turbulence of the water against the inside of the pipes, what is the minimum number of 2''-inside-diameter pipes of the same прочитайте больше ..

oliviapow06 1 мар. 2021 г.

-1

408

1

+205

domain and range

If $f(x)$ is a function defined only for $0 \le x \le 1$, and $f(x) = ax+b$ for constants $a$ and $b$ where $a < 0$, then what is the range of $f$ in terms of $a$ and $b$? Express прочитайте больше ..

oliviapow06 1 мар. 2021 г.

-1

440

1

+205

cylinders

A cylindrical quarter has a $\frac{15}{16}$ inch diameter and a $\frac{1}{16}$ inch height. What would be the number of inches in the height of a coin whose volume is exactly four times that of the given quarter and whose diameter equals $1 прочитайте больше ..

oliviapow06 25 февр. 2021 г.

-1

397

1

+205

domain and range

Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{R}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. The range of $f(x) \cdot g(x)$ is $[a,b]$. What прочитайте больше ..

oliviapow06 25 февр. 2021 г.

-1

401

1

+205

graphing functions

If the point $(2,9)$ is on the graph of $y=f(x)$, then there is one point which must be on the graph of $y=f(-x)$. What is the sum of that point's coordinates?

oliviapow06 25 февр. 2021 г.

+205

+1

I used GeoGebra and got 18.

oliviapow063 мар. 2021 г.

+205

-2

I don't know how but this is apparently wrong

oliviapow0624 февр. 2021 г.

+205

0

When using the quadratic formula, you can look in the square root and that is 9801-2c. So you take the 8001 from the problem and subtract it from 9801 and you get 1800. Then you divide 1800 in half getting 900 which is your answer.

oliviapow0622 февр. 2021 г.

+205

-1

Actually, it's 5040 because the question says product not sum.

oliviapow0621 февр. 2021 г.