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ellapow
Username
ellapow
Score
209
Membership
Stats
Questions
45
Answers
3
45 Questions
3 Answers
+1
9
1
+209
Analytic Geometry
What is the area, in square units, of a triangle whose vertices are at $(4, -1)$, $(10, 3)$ and $(4, 5)$?
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ellapow
Mar 3, 2021
+1
20
1
+209
Pythagorean Theorem
What is the perimeter, in cm, of quadrilateral $ABCD$ if $\overline{AB} \perp \overline{BC}$, $\overline{DC} \perp \overline{BC}$, $AB=9$ cm, $DC=4$ cm, and $BC=12$ cm?
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ellapow
Mar 1, 2021
0
20
1
+209
Analytic Geometry
Let $A=(0,9)$ and $B=(0,12)$. Points $A'$ and $B'$ are on the line $y=x$, and $\overline{AA'}$ and $\overline{BB'}$ intersect at $C=(2,8)$. What is the length of $\overline{A'B'}$?
read more ..
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ellapow
Mar 1, 2021
+1
15
1
+209
spheres
A steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths. How many cubic inches are in the volume of the cube?
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ellapow
Mar 1, 2021
0
17
1
+209
cylinders
What is the radius, in inches, of a right circular cylinder if its lateral surface area is $3.5$ square inches and its volume is $3.5$ cubic inches?
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ellapow
Mar 1, 2021
+1
18
1
+209
domain and range
What is the domain of the real-valued function
$$q(x) = \frac{\sqrt{x}}{\sqrt{1-x^2}}~?$$
Express your answer as an interval or as a union of intervals.
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ellapow
Mar 1, 2021
+1
25
1
+209
analitic geometry
Points $A(0, 0)$, $B(6, 0)$, $C(6, 10)$ and $D(0, 10)$ are vertices of rectangle $ABCD$, and $E$ is on segment $CD$ at $(2, 10)$. What is the ratio of the area of triangle $ADE$ to
read more ..
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ellapow
Feb 25, 2021
0
31
3
+209
spheres
A sphere is inscribed inside a hemisphere of radius 2. What is the volume of this sphere?
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ellapow
Feb 25, 2021
+1
21
1
+209
Analitic Geometry
The area of rectangle $ABCD$ with vertices A(0, 0), B(0, 4), C(x, 4) and D(x, 0) is 28 square units. If $x > 0$, what is the value of x?
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ellapow
Feb 25, 2021
+1
26
1
+209
spheres
A spherical scoop of vanilla ice cream with radius of 2 inches is dropped onto the surface of a dish of hot chocolate sauce. As it melts, the ice cream spreads out uniformly forming a cylindrical region 8 inches in radius. Assuming the density of the ice
read more ..
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ellapow
Feb 25, 2021
+1
20
1
+209
cones
If a haystack in the shape of a right circular cone has a base radius of 5 meters and contains 12 tons of hay, what will be the number of tons of hay in a similar conical haystack whose base diameter is 15 meters? Two right cones are similar if their heights
read more ..
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ellapow
Feb 25, 2021
+1
25
1
+209
graphing functions
If $f(x)=f(2-x)$ for all $x$, then what line is necessarily an axis of symmetry of the graph of $y=f(x)$? (Give the simplest equation of this line.)
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ellapow
Feb 24, 2021
+1
29
1
+209
Domain and Range
Suppose a function $f(x)$ is defined on the domain $[-8,4]$. If we define a new function $g(x)$ by
$$g(x) = f(-2x),$$
then what is the domain of $g(x)$? Express your answer in interval notation.
read more ..
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ellapow
Feb 24, 2021
+1
34
1
+209
domain and range
What is the sum of all real numbers $x$ that are not in the domain of the function
$$f(x) = \frac{1}{x^2-7} + \frac{1}{x^3-8} + \frac{1}{x^4-9}~?$$
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ellapow
Feb 24, 2021
+1
27
1
+209
graphing functions
If $f(x)=f(2-x)$ for all $x$, then what line is necessarily an axis of symmetry of the graph of $y=f(x)$? (Give the simplest equation of this line.)
●
ellapow
Feb 24, 2021
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latest
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#1
+209
0
I used GeoGebra and got 100.
ellapow
Mar 3, 2021
#2
+209
0
The answer is actually 6.
ellapow
Feb 24, 2021
#5
+209
-1
both of them; it was 112
ellapow
Feb 24, 2021