Here is trapezoid A in the coordinate plane:
If you drew Trapezoid B, the image of A after a 90\circ∘ rotation clockwise, using the origin as the center of rotation, what would be the coordinates of each of the vertices?
Answers
Answer:
(1,-2) (3,-2) (4,-4) (1,-4)
Step-by-step explanation:
First of all I noted that the origin would be the centre of rotation.
Then I chose a point of Trapezoid A: I selected the point closest to the centre of rotation which was (2,1) , since that is the easiest one to do. However, this works for any point
Then I drew a line from the point (2,1) to the centre of rotation (the origin)
From the origin I then drew another line perpendicular (at a right angle to) the line that I previously drew (between the origin and point (2,1)). I drew this line so that it was also the same length as the previously drawn line and I drew it in the direction of rotation which was clockwise i.e., to the right. This line therefore went from the origin to point (1,-2).
I have now deduced that the point (1,-2) is the same as point (2,1) but in the rotated Trapezoid B.
From there I simply just rotated shape A 90 degrees clockwise so that I knew what the shape would look like if it was rotated.
Then I just drew in the other points to make the rest of the shape.
Sorry if this is hard to understand. I would be able to explain better if I was able to draw this out for you
The required coordinate of the image of the rotation of the trapezoid (1, -2) (3, -2) (4, -4) (1, -4)
Given that,
To determine the coordinate of the given trapezoid after the 90° clockwise rotation with origin as the center of rotation.
The graph is a demonstration of curves which gives the relationship between the x and y-axis.
Here,
Intial coordinates of the trapezoid, (1,2) , (3, 2), (4, 4) and (4, 1)
After the rotation of 90° clockwise, the trapezoid is translated to the 4 quadrants and the new coordinates are (1, -2) (3, -2) (4, -4) (1, -4).
Thus, the final coordinates are, (1, -2) (3, -2) (4, -4) (1, -4).
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Related Questions
There are 20 students in the class. They break up into groups of 5 for an art project. Choose the equation that shows how many groups there are.
20 x 5 = ?
20 x 4 = ?
20 divided by 4 = ?
20 divided by 5 = ?
Answers
WILL MARK BRAINLIEST! Solve for X and Y
Answers
Answer:
1a) x = -41
1b) x = -1
1c) x = 29/3, or x = 9.66 in decimal form
1d) x = -4
----------------
2a) y = -3
2b) y = -60
2c) y = -83
2d) y = -50
Step-by-step explanation:
1a) y = x + 11
-30 = x + 11
-11 -11
------------------
-41 = x
1b) y = -2x - 32
-30 = -2x - 32
+32 +32
----------------------
2 = -2x
/-2 /-2
----------------------
-1 = x
1c) y = -3x - 1
-30 = -3x - 1
+1 +1
-----------------
-29 = -3x
/-3 /-3
------------------
29/3 = x
9.66 = x
1d) y = 5x - 10
-30 = 5x - 10
+10 +10
----------------------
-20 = 5x
/5 /5
----------------------
-4 = x
------------------------
2a) y = x + 3
y = -6 + 3
y = -3
2b) y = -2x - 72
y = -2(-6) - 72
y = 12 - 72
y = -60
2c) y = 3x - 65
y = 3(-6) - 65
y = -18 - 65
y = -83
2d) y = 4x - 26
y = 4(-6) - 26
y = -24 - 26
y = -50
Find the number that makes the ratio equivalent to 10:6.
Answers
Answer:
9*10=90 so 6*9=54 then answer is 90:54
Step-by-step explanation:
Which of the following equations is equivalent to
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x+3}{3} =5- \frac{x-3}{6} \\(\frac{x+3}{3}) *6 =5 - (x-3)[/tex]
[tex]2x+6 = 5 - x+3[/tex]
Answer:
none
Step-by-step explanation:
We can start by multiplying both side of the equation by 6 in order to remove the fractions.
[tex]6*\frac{x+3}{3} = 6(5 - \frac{x-3}{6})[/tex]
[tex]2(x + 3) = 30 - 6*\frac{x-3}{6}[/tex]
[tex]2x + 6 = 30 -(x - 3)[/tex]
[tex]2x + 6 = 30 - x + 3[/tex]
Now, we can try to see if this equation is equivalent to the other options.
Every option has the left side as 2x - 6. In order to get that, we need to subtract 12 on both sides:
[tex]2x - 6 = 30 - x + 3 - 12[/tex]
This simplifies to
[tex]2x-6 = 18 - x + 3[/tex]
This is not the same as any of the options shown.
We can check this by solving the equations.
2x - 6 = 18 - x + 3
3x = 6 + 18 + 3
3x = 27
x = 9
Now, the first option:
2x - 6 = 10 - x - 3
3x = 6 + 10 - 3
3x = 13
x = 13/3
The second option is the exact same as the third, so they would have the same solution:
2x - 6 = 30 - x- 3
3x = 6 + 30 - 3
3x= 33
x = 11
Since none of the options have the answer 9, they are not equivalent to the equation shown.
The model shows the expression 30 +12. Which expression is equivalent to thi sum?
Answers
Answer:
There are many answers to this question like:
7x6
21x2
84/2
27+15
Step-by-step explanation:
If 30+12=42, all you really have to do is check each answer to see if it either adds up to 42, multiplies to get 42, divides to get 42, or subtracts to get 42.
Answer:
6(5+2)
3(10+4)
Step-by-step explanation:
These are just a couple of equivalent sums, I am assuming this is a sort of short response and not a multiple choose so i believe you can use this.
7+ ? ×5+9=66 what is the answer
Answers
Answer:
? = 10
Step-by-step explanation:
7 + ? × 5 + 9 = 66
Treat ? as a variable, and solve for ?.
5? + 16 = 66
5? = 50
? = 50/5
? = 10
Select all ratios equivalent to 2:3.
Answers
Answer:
12:18 and 10:12 (i think)
Step-by-step explanation:
After converting the given ratios in their simplest form, the equivalent form of 2:3 we get 12:18.
To find the simplest form of a fraction, you have to simplify the numerator and denominator to their lowest terms and keep dividing until you can no longer simplify the fraction any further.
The given ratios are,
12:18,
3:21,
10:12
For the ratio 12:18,
Simplify it by finding the greatest common divisor (GCD) of 12 and 18.
The GCD of 12 and 18 is 6.
By dividing both numbers by 6, we get the smallest ratio of 2:3.
Moving to the ratio of 3:21,
Find the GCD of 3 and 21, which is 3.
Dividing both numbers by 3 results in the smallest ratio of 1:7.
Find the smallest ratio for 10:12.
The GCD of 10 and 12 is 2.
Dividing both numbers by 2 gives us the smallest ratio of 5:6.
Hence, the simplest form of ratios for the given ratios are:
12:18 = 2:3,
3:21 = 1:7,
10:12 = 5:6.
Hence,
The ratio equivalent to 2:3 is 12:18.
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helppppppppppp meeeeeeeeeeeeeeeeeeeee
Answers
Answer:
3x5?
Step-by-step explanation:
the trail mix uses 3 cups of almonds, 2 cups of cranberries, and 6 cups of peanuts. complete the following sentences.
there are cups ____ of peanuts for every cup of almonds.
there are ___ cups of peanuts for every cup of cranberries
Answers
Answer:
There are 2 cups of peanuts for every cup of almonds. There are 3 cups of peanuts for every cup of cranberries.
Step-by-step explanation:
First question - 6(peanuts) / 3(almonds) = 2 cups of peanuts for every cup of almonds
Second question- 6(peanuts) / 2(cranberries) = 3 cups of peanuts for every cup of cranberries
Answer:
2 cups
Step-by-step explanation:
6 divided by 3 is 2 and secondly 6 divided by 2 is 3
Hope this helps you
Consider the congruent triangles shown.
Which set of transformations can be used to prove the triangles are congruent?
A
First reflect △XYZ across the y-axis, then rotate it 90° counter-clockwise about the origin.
B
First reflect △XYZ across the y-axis, then translate it down 8 units.
C
First reflect △XYZ across the x-axis, then rotate it 90° counter-clockwise about the origin.
D
First reflect △XYZ across the x-axis, then reflect it across the y-axis.
Answers
Answer:
d. idfk what im doing on here
Find the unit rate.
20 seats in 4 rows =
seats per row
Answers
Answer:
8 should be the answer
Step-by-step explanation:
I WILL MARK AS BRAINLIEST! Solve for X and Y
Answers
Answer:
1.
a) -11.25 b) -1/2 c) -2/7 d) 1/8
2.
a) 2 b) -8 c) -7 d) -30
Step-by-step explanation:
please mark me brainliest. Thank you
A number has many factors including 3 and 8. What other number must also be a factor of the same number?
Answers
Two "factors" are multiplies together to product another number (the product). So, for example, the prime factors of 10 are 2 and 5. Prime factors that, themselves, have only factors of 1 and themselves. Non-prime numbers, like 10, have prime factors. Note that 1 is a factor of all integers.
If the two factors are equal (the same), like 4*4=16, then each of them is called a "square root."
Note: a cube root is one of three equal factors of a number, for example, 2 is the cube root of 8 (that is, 2*2*2=8).
Practice:
What is the square root of 49?
What is the square root of 100?
What is the square root of 625?
Memorize the squares of the numbers from 1 to 10, or 1 to 20 -- that will be very helpful in math classes.
Answer:
72
Step-by-step explanation:
Violet has 30 glass tiles. she would like to mosaic tile a tabletop with 10 times that number of tiles. how many tiles does violet want to use?
If you can help, please respond! Tysm! <3
Answers
Violet will need to use 300 tiles for tabletop.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Number of glass tiles Violet has = 30
Now,she would like to mosaic tile a tabletop with 10 times that number of tiles
So, number of tiles become = 10 times Number of glass tiles Violet has
⇒ number of tiles become = 10*30
⇒ number of tiles become = 300 tiles
Thus, Violet will need to use 300 tiles for tabletop.
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Fill in the blanks
Blank- blank = blank
4.5* 10^9
4.443*10^9
5.7*10^7
1.2*10^2
Btw * means multiply and ^ means exponent
Answers
4.443* 10^9 = 4443000000
5.7* 10^7 = 57000000
1.2* 10^2 = 120
I hoped it will help.
(-1)(-1)(-1)(-5)=
HELP PLZ
Answers
Answer: 5
Step-by-step explanation:
(-1)(-1)(-1)(-5)=
(-1)(-5)=5
Answer: 5
Explanation: You would need to evaluate & simplify the expression.
Evaluate the expressions when x=1.8 and y=4
1.) 3xy
2.) 7.5xy
3.) 1.4y + 5.9x
Answers
Answer:
1. 21.6
2. 54
3.16.22
Step-by-step explanation:
1. 3(1.8)(4)
2. 7.5(1.8)(4)
3. (1.4)(4) + (5.9)(1.8)
2. 7.5(1.8)(4) = 54
3. 1.4(4) + 5.9(1.8)
5.6 + 10.62 = 16.22
find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)
Answers
Answer:
Step-by-step explanation:
J (-1,4) ⇒ x₁ = -1 & y₁ = 4
K(5,-3) ⇒ x₂ = 5 ; y₂ = -3
m : n = 1/3 : 2/3 = 1 :2
[tex]X \left(\dfrac{mx_{2}+nx_{1}}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\\\X \left(\dfrac{1*5+2*(-1)}{1+2},\dfrac{1*(-3)+2*4}{1+2} \right) \\\\\\X \left(\dfrac{5-2}{3},\dfrac{-3+8}{3} \right)\\\\\\X \left(\dfrac{3}{3},\dfrac{5}{3} \right)\\\\\\X \left( 1 , \dfrac{5}{3} \right)[/tex]
Finish the distance formula.
|P1P2| = d =
Answers
Answer:
d = |p^3|
Step-by-step explanation:
PLEASE HELP!!!!!!!!!! GIVING BRAINLIEST, THANKS AND FIVE STARS!!!!!!
Find the greatest common factor of each pair of numbers.
1. 24 and 36
2. 39 and 54
3. 42 and 98
4. 48 and 72
5. 65 and 91
6. 7 and 20
Answers
1. 12
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Then the greatest common factor is 12.
2. 3
The factors of 39 are: 1, 3, 13, 39
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 3.
3. 14
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
4. 24
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Then the greatest common factor is 24.
5. 13
The factors of 65 are: 1, 5, 13, 65
The factors of 91 are: 1, 7, 13, 91
Then the greatest common factor is 13.
6. 1
The factors of 7 are: 1, 7
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 1.
Hope this helps you *smiles*
2. 3
3.14
4.24
5.13
6.1
Find the amount and compound interest on Rs.3000 for 2 years at 15% per annum compounded annually .
Answers
Step-by-step explanation:
formula =P×(1+r/100)^2
3000×1.15^2=3967.50rs
Please help im giving 25 points
Answers
Answer:
4/15
Step-by-step explanation:
[tex]6\frac{3}{5} -6\frac{1}{3} \\\\\frac{33}{5} -\frac{19}{3} \\\\\frac{99-95}{15} =\frac{4}{15}[/tex]
4/15
(Decimal: 0.266667)
Step by step: =33/5 - 6 1/3
=33/5 - 19/3
=33/5 + -19/3
=4/15
=4/15
Simplify the expression by combining like terms put each expression in its simplest form. 1. 5x^2-2xy+3y^2-4yx+3x-4y^2-5xy+2x-y
Answers
Select all ratios equivalent to 20:5.
Answers
The answer is : 40:10
*multiply by 2
If helpful, brainliest please !
Answer:
40:10 & 8:2
Step-by-step explanation:
20 * 2 = 40
5 * 2 = 10
8 * 2.5 = 20
2 * 2.5 = 5
2:1 does not work because only 2 * 10 = 20, but 1 *10 = 10 and there is no 10. There is only 5.
In complete sentences, describe how Spain established territorial claims in the Caribbean and South America. Include these terms in your answer: Christopher Columbus, conquistadors, Hernán Cortés, Francisco Pizarro.
PLEASE help me
Answers
Select the correct scientific notation form of this numeral using only 2 significant figures.
8,421,032.9266
84 × 10 9
8.4 × 10 10
8.4 × 10 6
None of these
Answers
Answer:
8.4 × 10^6
Step-by-step explanation:
Use floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10 (as in 1.591 × 10−20)
Hope this helps <3
Answer:
8,421,032.9266The correct scientific notation form of the given numeral using only 2 significant figures is 8.4×10⁶.
8.4×10⁶ is the right answer
Step-by-step explanation:
8,421,032.9266→We can move the decimal point 6 units towards the left to get the number.
→Then we can multiply the number by 10 to the power 6 to get the required answer.
Help me please I neeedd it
Answers
Jordan has to solve this division problem: 42 divided by 7 = ?
Which of the following equations can he use?
42 + 7 = ?
7 x 42 = ?
? x 7 = 42
7 divided by 42 = ?
Answers
The correct equation that Jordan can use to solve the division problem 42 divided by 7 is:
? x 7 = 42
So, the correct equation is option 3) ? x 7 = 42.
Given that, Jordan has to solve this division problem: 42 divided by 7 = ?
In this case, Jordan needs to find the value of the missing factor, which represents how many times 7 can be multiplied to get 42.
Therefore, he can use the equation:
? x 7 = 42
This equation represents the inverse operation of division, which is multiplication.
When we know one factor (7) and the product (42), we can use multiplication to find the missing factor (the quotient).
By solving for the missing factor, he will find the correct answer to the division problem:
The missing factor = 42 / 7 = 6
So, the correct equation is option 3) ? x 7 = 42.
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Josh keeps his socks and shirts in different drawers. He has twelve white, five blue, and seven black socks. He also has three white, five black, and two grey shirts. He pulled out a sock and a shirt in the dark.
What are the chances that he will get a black sock and a grey shirt?
Answers
Answer:
P(blk sk AND gy shr)=P(blk sk)*P(gy shr)=7 /578
P(gy shr)=2/34
P(blk sk)=7/34
blk=Black
sk=Sock
gy=Grey
shr=Shirt
Please help Im giving 25 points
Answers
Answer:
3 1/24
Step-by-step explanation:
-7/8 + (-2 1/6)
~Rewrite
-7/8 - 2 1/6
-7/8 - 13/6
~Find common denominators
-21/24 - 52/24
~Subtract
-73/24
Best of Luck!
Answer:
-3 1/24
Step-by-step explanation:
- 7/8 + -2 1/6
= (0 + -2) + (-7/8 + -1/6)
= -2 + -7x3/ 8 x 3 + -1 x 4 / 6x4
= -2 + -21/24 + -4 / 24
= -2 + -21 + -24
------------
24
= -2 + -25/24
= -2 + -1 1/24
= -3 1/24