When a plane intersects a pyramid, the cross-section of polygon created is
Square andRectangleTo answer the question whe need to know what polygons are.
What are polygons?Polygons are shapes with 3 or more sides.
What is a pyramid?A pyramid a four-sided solid with triangular sides and a square base.
What polygons are formed by the cross-section created when a plane intersects a pyramid?When a plane intersects a pyramid parallel to its base, the cross-section created by the plane is a squareAlso, when a plane intersects a pyramid at an angle to its base, the cross-section formed is a rectangle.So, when a plane intersects a pyramid, the cross-section of polygon created is
Square andRectangleLearn more about polygon here:
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At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)
Answer:
x = 4 & x = -2
Step-by-step explanation:
For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero. Usually, those discontinuities are "vertical asymptotes". Occasionally, those discontinuities are "holes".
A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x. If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.
Finding the discontinuities:To find the discontinuities, we'll be making an entirely separate equation. It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).
The equation we need for this is the denominator of our rational function set equal to zero:
[tex](x-4)(x+2)=0[/tex]
Note, this equation doesn't have a denominator. It's not the original function. It's like scratch work. This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.
There are many ways to solve this equation. The easiest is remembering the zero product property. The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero: [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]
Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:
[tex]x-4=0, \text{ or } x+2=0[/tex]
Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:
[tex]x=4, \text{ or } x=-2[/tex]
So these values of x will make the denominator of the original function zero. These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":
Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]
But wait! Are they holes, or are they just vertical asymptotes? Do we have one of each?
Testing to see if the discontinuities are asymptotes:
To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)
Since the numerator is just x, we're checking to see if 4=0, or if -2=0. They don't. So, for this function, both of the discontinuities are vertical asymptotes.
Listing the asymptotes
Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]
[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Step-by-step explanation:
please mark me as brainlest
Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Answer:
XY = 6
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 XY = 12 ( divide both sides by 2 )
XY = 6
The length of the side XY in ΔXYZ is 6 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.
We know, sin = opposite/hypotenuse.
Therefore, sin30° = XY/12.
1/2 = XY/12.
XY = 12/2.
XY = 6 units.
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Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up
Answer:
D
Step-by-step explanation:
i just know i guess
What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the function
g(x)=(x+5)²+3?
Answer: 3
Reason:
Going from x^2 to (x+5)^2 means we shift the graph 5 units to the left.
The +3 at the end shifts the parabola up 3 units. This is because we add 3 to each y value. For instance a point like (0,25) moves to (0,28)
The velocity of a particle can be modeled by the function v(t)=1/10(3t-8)^3+2. Which graph accurately shows the velocity of the park or at any time, t?
The graph that accurately shows the velocity of the park or at any time is as shown in the attached image.
How to draw a function Graph?Velocity is defined as the rate of change of position of object with respect to time. Velocity is also defined as the speed of an object moving in a definite direction.
Velocity is a vector quantity and so it has both magnitude and direction. Its' SI unit is in meters per second.
The velocity of a particle is modeled by the function;
v(t) = ¹/₁₀(3t - 8)³ + 2
The given velocity function is cubic function and as such the attached graph shows the velocity of the particle at any time.
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If = 12 –3 a,find the value ofxwhen a= 8
Answer:
-12
Step-by-step explanation:
x = 12-3a
When a=8:
x = 12-3(8)
x = 12 - 24
x = -12
Pls help me with these =)
a) the correct expression for the perimeter of the shape is B
Instructions: Simplify the algebraic expression.
[tex]4(-4x-\frac{3}{2} )[/tex]
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!
Answer:
Step-by-step explanation:
Solving linear equation with one variable:1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
[tex]\sf \boxed{\bf x = 4}[/tex]
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
[tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]
[tex]\sf \boxed{\bf x = -2}[/tex]
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
[tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]
Answer:
1) x = 4
2) x = -2
3) [tex]r= \frac{24}{7}[/tex] [tex](1\frac{7}{17})[/tex]
4) [tex]x=-\frac{9}{5}[/tex] [tex](-1\frac{4}{5})[/tex]
Step-by-step explanation:
hope this helps!!
(work shown in photo :) )
What is 10 1/2÷214 ?
Answer:
21/428 or 0.04 906542056074...
Step-by-step explanation:
the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)
whole numbers or natural numbers).
Answer:
Whole numbers
Explanation:
0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.
Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
how many times does the quadratic function below intersect the x-axis?
y=x^2+10x+25
Answer:
A. 1
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x.
x-intercept(s): (-5,0)
Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.
If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.
whats the answer to this?
[tex](x)(x^{2} +9x+8)[/tex]
Step-by-step explanation:GCF is a way to simplify a polynomial by separating out one factor.
GCF
GCF stands for greatest common factor. This means the GCF is the largest number that is a factor of each term.
For example, the GCF of 15 and 25 is 5 because that is the greatest common factor between the 2 numbers.
Finding the GCF
To find the GCF, first look at the coefficients of each term.
In order, the coefficients are 1, 9, and 8These numbers have no shared factors besides 1, which doesn't help because factoring out 1 does nothing.
However, next, we can move on to the variables. You can factor out variables the same way you do constants.
All of the terms share a GCF of x.Factoring Out X
The question states that we only need to do GCF to solve. So, we can just factor out x. Remember that factoring is like dividing each term by x.
The completely factored expression is:
[tex](x)(x^{2} +9x+8)[/tex]Here we have divided each term by x and then added x as a new factor in the expression.
Answer:
X(x+1)(x+8)
Step-by-step explanation:
U just have to find the comment number
Could someone do this question for me? Thanks
Answer:
20 counters/box
Step-by-step explanation:
Missing counters(m)= 8
Total number of counters available (t-m)= 132
Required number of counters(t):
=(t-m) + m
= 132 + 8 = 140
Total number of boxes(tB) = 7( 6 full and one with eight missing)
Total Counters/Boxes= t/tB
= 140/7
= 20
(PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous.
Answer:
a = - 1b = 7Given A piece-wise function, consisting of three lines.
In order to make the function continuous, the first and second pairs of lines should have common points.
Let's find the common points.1. Intersection of the first two lines:
- x = 2 + x -2x = 2x = - 1This determines the value of a:
a = - 12. Intersection of the second two lines:
2 + x = 2x - 52x - x = 2 + 5x = 7This determines the value of b:
b = 7See the graph attached
find the surface area of the composite figure
The total area of the given composite figure is 84.8 ft²
How to find the area of a composite figure?We are given;
Area of Triangle = 5.6 ft²
Thus, area of 2 triangles = 2 * 5.6 = 11.2 ft²
Area of rectangles = 2(3.6 * 2) + 2(2 * 4) + 3(4 * 3.6)
Area of rectangles = 14.4 + 16 + 43.2
Area of rectangles = 73.6 ft²
Total area of composite figure = 73.6 ft² + 11.2 ft²
Total area of composite figure = 84.8 ft²
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The table below shows the earnings, in thousands of dollars, for three different commissioned employees.
Who had the largest dollar amount in sales for the month of December?
a.
The salary plus commission employee.
b.
The straight commission employee.
c.
The graduated commission employee.
d.
They each had the same dollar amount in sales.
The answer to the person with the largest dollar sales in December is d. They each had the same dollar amount in sales.
What were the sales amounts in December?The sales of the salary + commission employee is:
= (4,400 - 2,000) / 3%
= $80,000
The sales of the straight commission employee is:
= 5,600 / 7%
= $80,000
The sales of the graduated commission employee is:
The amount earned on the first $40,000 is:
= 5% x 40,000
= $2,000
The rest of the sales is therefore:
= (5,200 - 2,000) / 8%
= $40,000
The total sales for this employee is:
= 40,000 for 5% commission + 40,000 for 8%
= $80,000
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Garth is packing boxes with books.the list shows how many books are in each 10 of boxes
The median of books to a box is 9 and The mean of books to a box is 11
The complete question is
Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15
Which statement is true about the number of boxes packed to a box?
A) The median # of books to a box is 8
B) The median # of books to a box is 9
C) The mean # of books to a box is 11
D) The mean # of books to a box is 12
What is Mean and Median ?Mean is the average of the data given while the median is the middle point of the data.
It is given that
The data is
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
The mean is
(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11
and the median is 9
Therefore Option B and C is the correct answer.
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Write down six numbers that have a median of 8, a mean of 9 and a range of 13.
Hurry please!
Answer:
5 ,6,8,8,9,18
Step-by-step explanation:
5 ,6,8,8,9,18
Range:
18-5=13
Median:
8
Mean:
5+6+8+8+9+18=54
54÷6=9
Please don't give a long answer
2400 - 40x = 600
As she has not studied 600 flashcards still, we subtract unit rate from total.
Part B40x - 600 = 2400
Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.
Part C(600 + 40)x = 2400
Here 'x' represent mass. As masses are same for both. They can be joined.
Wich seires of transformations will not map figure L onto itself
Answer:
cheesefnekeeorknfdndndndn
What’s the value of x?
Answer:
the value of x is 115
Step-by-step explanation:
hope I helped
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HELP ME PLEASE!!!!! FIND Y!
Answer:
y = 139
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
110° is an exterior angle of the triangle , then
3x + 2x - 5 = 110
5x - 5 = 110 ( add 5 to both sides )
5x = 115 ( divide both sides by 5 )
x = 23
then
2x - 5 = 2(23) - 5 = 46 - 5 = 41
y and 2x - 5 are a linear pair and sum to 180° , so
y = 180 - 41 = 139
Answer:
I got 139
Someone correct me if I'm wrong.
Step-by-step explanation:
(2x-5) + 3x + 70 = 180
Collect liketerms. Take away 70 from both sides and add 5.
5x=115
x=23
2(23) -5 = 41
180-41 = 139
y = 139
Need help with number 27 asap
Answer:
Yes
Step-by-step explanation:
Yes; points X and Y are fixed under the reflection, so they must lie on the line of reflection. Since two points determine a line, the line of reflection is XY.
https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Reflections.pdf
.
HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE
click on the photo
Answer:
D
Step-by-step explanation:
2 units right 1 unit down
Good luck
Answer:
(x-2, y+1)
Step-by-step explanation:
G(0, 4) -> G'(-2, 5)
H(2, 4) -> H'(0, 5,)
E(0, 2) -> E'(-2, 3)
F(-1, 2) -> F'(-3, 3)
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
Please helpWhich graph represents the reflection of ABC over the line x=0
Answer:
A
Step-by-step explanation:
Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A
Answer: D for me at least
Step-by-step explanation: hope this helps :3
The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Which of the following gives h–1(x)?
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.
What is inverse of a function?Suppose that the given function is
f:X → Y
Then the inverse of the considered function will be
f⁻¹: Y → X
The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Then the coordinate of the inverse function gets swapped.
h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
Then the correct option is B.
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