During rigid transformations, the shape, size, and orientation of an object remain the same, while its position in space changes. This means that the distance between any two points on the object remains constant, as does the angle between any two lines. Additionally, the orientation of the object's axes (length, width, and height) remain the same.
What are transformations, exactly?Transformations are a general term for four different methods of changing the location and/or shape of a point, line, or geometric figure. The shape of the object is revealed in its pre-image, while its final form and position are revealed in the image following transformation.
What is a good example of transformation?A transformation is characterized by a significant alteration in appearance or form. Your life may change as a result of a significant event, such earning your driver's license, beginning college, or getting married. A significant, abrupt transformation is called a metamorphosis.
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Find the equation of the graphed line.
Answer:
d. y = -⁷/6x - 7
Step-by-step explanation:
✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):
Slope (m) = change in y/change in x
Slope (m) = (-7 - 0)/(0 - (-6))
Slope (m) = -7/6
✔️Determine the y-intercept (b):
The line intercepts the y-axis at -7. Therefore,
b = -7.
✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b
Thus:
y = -⁷/6x + (-7)
y = -⁷/6x - 7
Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft
Answer:
250 ft
Step-by-step explanation:
circumference of a circle = πD
D = diameter
to find diameter divide by pi
d = 250
An aquarium holds 11.04 cubic feet of water, and is 2.3 feet long and 1.2 feet wide. What is its depth? Round your answer to the nearest whole number. The depth is feet.
Answer:
Depth is 4 feet.
Step-by-step explanation:
Given:
Length of an aquarium is 2.3 feet
Width of an aquarium is 1.2 feet
Volume of an an aquarium is 11.04 cubic feet
To find: depth of an aquarium is 2.3 feet
Solution:
If [tex]l,b,h[/tex] denote length, width and height of a cuboid then volume (V) of a cuboid is equal to [tex]lbh[/tex]
[tex]l=2.3[/tex] feet
[tex]b=1.2[/tex] feet
[tex]V=11.04[/tex] cubic feet
[tex]11.04=2.3(1.2)h\\h=\frac{11.04}{2.3(1.2)}\\h=\frac{11.04}{2.76}[/tex]
[tex]h=4[/tex] feet
Therefore,
depth is 4 feet.
Henry cut a 58 inch plank of wood into two pieces. The longer piece is 20 inches longer than the
shorter piece. What are the lengths of both pieces?
How many bases are there in the triangular pyramid shown below?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In a pyramid, there is only one base that touches the ground.
However, in a prism, there are two bases, two of the same ends.
The front of the name of the shape also hints:
If it's an octagonal prism, there are two octagon bases.
If it's a hexagonal pyramid, there is one hexagon base.
How much will the students save if they work together to install the grass themselves as opposef to having the landscaper install it
$81.90
$273.00
$322.00
$354.90
Answer:
B
Step-by-step explanation:
Find x, to the nearest hundredth.
Answer:
Step-by-step explanation:
cos 44° = [tex]\frac{x}{14}[/tex]
x = 14 × cos 44°
x ≈ 10.07 units
Dora wants to paint the walls, ceiling and floor of her playhouse. The dimensions of the playhouse are 3 m long by 4 m wide by 5 m high. What is the total area that she must paint?
Answer:
Dora has to paint a total ol 60m
Step-by-step explanation:
4x5x3
4x5= 20
20x3=60
Needing help with this math question
Answer:
B. 4x+5
Step-by-step explanation:
First, you multiply both sides by 4, then you have x=y-5. You then add 5 to get 4x+5
(in the very beginning, you switch the x and y so you would have to make the equation x= y-5 / 4 if that confused you)
Watson has 4 yards of fabric. He would like to cut it into pieces measuring 2/5 of a yard. How many pieces will Watson be able to cut? *
Answer:
10
Step-by-step explanation:
2/5 yard = 0.4 yard each piece
4 / 0.4 = 10
Select all answer choices that show a correct comparison.
A. 14>29
B. 26>25
C. 45>710
D. 12<23
E. 34<58
Answer:
c is incroccet aand other are correct
Help Resa
Find the volume of this object.
Use 3 for a
Volume of a Cylinder
V= r2h
Volume of a Cone
V= Arh
3
7 cm
!6cm
V
V ~ [?]cm3
Enter
Answer:
Volume of given figure = 113.12 cm²
Step-by-step explanation:
Given:
Radius of cylinder = 4/2 = 2cm
Radius of cone = 4/2 = 2 cm
Height of cylinder = 7 cm
Height of cone = 6 cm
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of cylinder + Volume of cone
Volume of given figure = πr²h + (1/3)πr²h
Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)
Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)
Volume of given figure = (22)(4) + (22/7)(4)(2)
Volume of given figure = 88 + 25.14
Volume of given figure = 113.12 cm²
Find the explicit formula for the given sequence 2, 4, 8, 16...
Answer:
Option A
Step-by-step explanation:
100% sure
Answer:
I would think it A
Step-by-step explanation:
2. How many distinguishable permutations are possible with all the
letters of the word ELLIPSES?
Answer:
5040
Step-by-step explanation:
This problem is about indistinguishable permutation. We have indistinguishable objects, in this case, these are the letter of the word ELLIPSES. The permutations for the word ELLIPSES is the same when you swap the places of the Ls. We need to not count them to avoid double counting.
We first count how many letters we have on the word, and then count the repeating letters.
ELLIPSES has 8 letters, 2 Es, 2Ls, and 2S.
The formula for indistinguishable permutation is
where n is the total number of objects and are the number of indistinguishable objects.
We have 2Es, 2Ls, and 2S; the formula then becomes:
Simplifying gives us
There are 5,040 distinguishable permutations of the word ELLIPSES.
For more information about indistinguishable permutations, click here
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The total 5040 distinguishable permutations are possible with all the letters of the word ELLIPSES.
The given word is ELLIPSES.
It is required to find total distinguishable permutations that are possible with the above word.
What is permutation?A permutation can be defined as the number of ways a set can be arranged.
Permutation formula as below:
[tex]P=\frac{n!}{p!q!r!...}[/tex]
Where n = Total number of objects.
p,q,r...= the number of indistinguishable objects.
Here total number of letters in the word n = 8
and ELLIPSES have 2Es, 2Ls, and 2S; the formula then becomes:
[tex]=\frac{8!}{2!2!2!}[/tex]
[tex]=\frac{8*7*6*5*4*3*2*1}{2*1*2*1*2*1}[/tex]
[tex]=5040[/tex]
Thus, the total 5040 distinguishable permutations are possible with all the letters of the word ELLIPSES.
Learn more about permutation here:
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This is due in 2 minutes
find the slope of each line
helppp!!
Answer:
-3/4
Step-by-step explanation:
The slope is -3/4
The line goes down three and four left.
what are the ordered pairs of the solutions for this system of equations? f(x)=x2-2x+3; f(x)=-2x+28
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)
Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the graph on the left is correct.
Shelby’s Graph Ashik’s Graph
A graph titled Shelby's Graph has points that form a curved line. A line with negative slope is drawn. A graph titled Ashik's Graph has points that form a curved line. A curved line is drawn to connect the points.
Who is correct and why?
Shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase.
Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation.
Ashik is correct because the points are a strong correlation to this nonlinear association.
Ashik is correct because points with a weak correlation can never have linear association.
Answer:
It’s B
Step-by-step explanation:
Answer:
The correct answer is C
Step-by-step explanation:
just took the test and got a 100.... btw i kinda need Brainliest to move to the next level can u help?
Edge 2021
Please help me it's urgent
Answer:
Ok it might take a long time but I'll get it done for you lol
Step-by-step explanation:
Determine the measure of angle b.
Answer:
37
Step-by-step explanation:
Because 180 is a straight line.
Subtract 143 from 180 amd get 37.
Hope this helps ^-^
Hello guys, I gotta turn in this and got like a few hours, please help me as soon as possible!!
5. Determine the horizontal distance when the vertical distance is 2m. You must
solve algebraically, not just use your graph to predict.
Really need help with this. Thanks. :)
Answer:
5
Step-by-step explanation:
What is the scale factor and x value?
Please help!! I completely forgot how to do this and please show your work
Answer:
12c-30
Step-by-step explanation:
6(2c-5)
12c-30
..........
Answer:
6(2c-5)
multiple the 6 on both numbers
12c-30
2 ∧ x=0.0625
x is an interger
Answer:
Ermmm.. What is a integer?
Step-by-step explanation:
Someone explain please
Answer:
x= -4
Step-by-step explanation:
2^x =1/16
2^x = 2^-4
x= -4
Maya is building a sandbox that is 48 inches wide. The length of the sandbox is four times the wldth of the sandbox. What is the perimeter of the sandbox?
Answer: 480 in.
Step-by-step explanation:
Given
The width of the sandbox is 48 in.
The length of the sandbox is four times the width
[tex]\therefore L=4\times 48=192\ in.[/tex]
Perimeter is the sum of the sides of the shape
The perimeter of the box is
[tex]P=2[48+192]=480\ in.[/tex]
Answer:
the perimeter of the sandbox is 480 inches
Step-by-step explanation:
The computation of the perimeter of the sandbox is shown below:
Since the width is 48 inches
And, the length would be four times the width i.e.
= 4 × 48
= 192 inches
Now the perimeter of the sandbox is
= 2( length + width)
= 2 (192 inches + 48 inches)
= 480 inches
Hence, the perimeter of the sandbox is 480 inches
The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based
on the information, which statement is a valid conclusion about Trapezoid ABCD?
-The parallel bases are congruent.
-The non-parallel sides are perpendicular,
-The non-parallel sides are not congruent.
-One base and one non-parallel side are perpendicular.
GIVING BRAINLIEST!!!!!!!!
1/2 x(6X4)+3+2
SHOW UR WORK PLS
Answer: 1/2 times 6x equals 3x and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.
Step-by-step explanation:
Plz need help i cant do it
Answer
adding 2
Step-by-step explanation:
Median is 8
I don't know if this is correct but I tried.
Slope- intercept equation from a graph
Find the equation of the line
We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:
[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]
The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:
[tex]y=-\frac{3}{2}x+3.[/tex]