Answer:
2y=2y-4=x
Step-by-step explanation:
Identify the compositions performed on XYZ to map onto X"Y"Z".
A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin
B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin
C) Reflection along the line y = x; 180° rotation about the origin
D) Reflection along the y-axis; 180° rotation about the origin
The correct answer is A) 180° rotation about the origin, followed by a translation (x, y) → (x - 2, y + 1).B) 180° rotation about the origin, followed by a translation (x, y) → (x + 2, y - 1).C) Reflection along the line y = x, followed by a 180° rotation about the origin.D) Reflection along the y-axis, followed by a 180° rotation about the origin.
To identify the compositions of transformations that map XYZ onto X"Y"Z", we need to analyze each option and determine the combination of transformations.
A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin
This option consists of a translation and a 180° rotation about the origin. To identify the composition, we perform the operations in reverse order. First, we apply the 180° rotation, and then the translation. Therefore, the composition of transformations for option A is a 180° rotation about the origin followed by a translation of (x, y) → (x - 2, y + 1).
B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin
Similar to option A, this option involves a translation and a 180° rotation. Again, we reverse the order of operations to determine the composition. So, the composition of transformations for option B is a 180° rotation about the origin followed by a translation of (x, y) → (x + 2, y - 1).
C) Reflection along the line y = x; 180° rotation about the origin
This option includes a reflection along the line y = x and a 180° rotation. The order of operations is important, so we perform the reflection first and then the rotation. Hence, the composition of transformations for option C is a reflection along the line y = x followed by a 180° rotation about the origin.
D) Reflection along the y-axis; 180° rotation about the origin
Option D involves a reflection along the y-axis and a 180° rotation. As with the previous options, we need to reverse the order. Thus, the composition of transformations for option D is a reflection along the y-axis followed by a 180° rotation about the origin.
In summary:
A) Composition: 180° rotation about the origin, then a translation (x, y) → (x - 2, y + 1).
B) Composition: 180° rotation about the origin, then a translation (x, y) → (x + 2, y - 1).
C) Composition: Reflection along the line y = x, then a 180° rotation about the origin.
D) Composition: Reflection along the y-axis, then a 180° rotation about the origin.
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If 3.7 inches of rain fall on Seattle during the first four days of December and the rain continues to fall at this pace for the rest of the month approximately how many feet of rain will fall during December
Answer:
28.675 inches
Step-by-step explanation:
If 3.7 inches of rain has been poured in the four days. Then the rate of rain fallen in one day = 3.7/4 .
For the the amount of rain poured in December.
Simply multiply the rate*days=rain amount poured.
So,
Amount Of Rain In December= (3.7/4)*31 = 28.675 inches.
It is approximately 29inches.
I hope that helps.
(y+2)(y^2-2y+4) ..........................
You can use the distributive property to multiply:
( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =
y³ - 2y² + 4y + 2y² - 4y + 8 =
y³ + 8
The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!
HELP ASAP!
David invests $1000 in an account that earned 5.5% simple interest. How much money will be in his account in 24 months?
Answer:
Step-by-step explanation:
Interest is equal to principal times rate times time / 100
Interest =$110
Amount is equal to interest plus principal
Amount=$1110
A can contains 1/2 pint of paint. If we use 2/3 of the paint, how much paint is left in the can?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
E. 5/6
Answer:
d
Step-by-step explanation:
Quantity of paint used = (2/3) of (1/2)
[tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]
Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]
[tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]
find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
Factor the expression
Thank you so muchh
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
Please help I will give you Brainlyest
Answer:
a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.
b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.
c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.
Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values.
Answer:
(a square +7a+12) ÷(a+3)
A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?
Answer:
3.39
Step-by-step explanation:
divide 10.17 by 3 to get the size of each section
Please help with this question
9514 1404 393
Answer:
27.932 in
Step-by-step explanation:
The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:
y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees
The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.
y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.
The valve cap is 27.932 in. above the ground.
Someone plz tell me What is 55% of 59?
Answer:
32.45
Step-by-step explanation:
Of means multiply
55% * 59
.55 * 59
32.45
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?
A. 0.82
B. 0.68
C. 0.14
D. 0.50
Answer:
The probability of choosing a girl is 1/2.
The probability of choosing an A student who is a BOY is 5/28.
1/2 = 14/28, and 14/28 + 5/28 = 19/28. This can be simplified to 0.68
Thus, the answer is B. 0.68
Let me know if this helps!
The required probability of choosing a girl or an A student is 0.82. Option A is correct.
Given that,
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade.
A student is chosen at random from the class. What is the probability of choosing a girl or an A student is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Total sample space = 28
Number of girls = 14
Number of boys = 14
Number of girls A grade student = 9
probability of a girl = 14/28 = 0.5
probability of A grader girl = 9 / 28 = 0.32
Now the probability of choosing a girl or an A grader girl student,
= 0.32 + 0.5
= 0.82
Thus, the required probability of choosing a girl or an A student is 0.82. Option A is correct.
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Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A'B' . What is the length of A'B' ? (50 points)
2 units
3 units
4 units
5 units
Answer:
5 units is the correct answer
Step-by-Step Explanation:
the translation of ab is a rigid transformation so, the size of the preimage and the size of the image are equal therefore,
ab=a'b'
the length of a'b' is 5 units which is option d.
If the cost of white tiles is $240, what is the unit cost of white tiles?
I need help with C and G and are A,B,E, and F right?? Plz help ASAP
Answer:
$15 and 3600ft^2
Step-by-step explanation:
C) There are 16 white tiles used. The unit cost of a white tile=240/16=$15
E) The cafeteria area consists of 36 tiles of dimensions 10 ft x 10 ft, so the area of the floor is 3600ft^2
solve: 24x^3 -26x^ 2 +9x -1=0.
Answer:
x = 1/2 , x = 1/4 , x = 1/3
Step-by-step explanation:
Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0
You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0
Now make all the above expressions = 0 and solve.
2x - 1 = 0 4x - 1 = 0 3x - 1 = 0
+1 +1 +1 +1 +1 +1
------------------ ------------------ ------------------
2x = 1 4x = 1 3x = 1
/2 /2 /4 /4 /3 /3
------------------- ------------------- ----------------------
x = 1/2 x = 1/4 x = 1/3
Is 30 inches greater than 3 feet
Answer:
1 feet = 12 inch
so, 3 feet = 36 feet
therefore, 3 feet is greater than 30 inch
Answer:
Yes, 3o inches is greater than 3 feet
Step-by-step explanation:
at the movie theatre admission is $6.30 an adult admission is $9.60. on thursday twice as many adult tickets as child tickets were sold for a total sale of $535.50 how many child tickets were solf that day
Answer:
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42
Step-by-step explanation:
Let's assume
number of child tickets sold on saturday is x
number of adult tickets sold on saturday is y
On saturday, twice as many adult tickets as child tickets were sold
so, we get
child admission is $6.30 and adult admission is $9.60
a total sales of $535.50
we get
now, we can plug y=2x
now, we can solve for x
now, we can find y
so,
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42.........Answer
32 1/4 divided by 1/8 = 258 create a story or context for this number sentence
From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!
Answer:
The first multiple of 12 after 38 is 48.
The first multiple of 12 before 316 is 312.
So we have, 48, 60, 72... 312.
Divide by 12...
4, 5, 6, ... 26
Subtract 3 from each term to get... 1, 2, 3... 23
So there are 23 terms!
Hope this helps!
The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=121-81[/tex]
[tex]\\ \sf\longmapsto P^2=40[/tex]
[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]
[tex]\\ \sf\longmapsto P=6.2cm[/tex]
Step-by-step explanation:
Given,
Hypotenuse = 11 cm
Base (One of the given leg) = 9 cm
Therefore,
According to Pythagoras Theorem,
[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]
[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]
[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]
[tex] = > {height}^{2} = 121 - 81[/tex]
[tex] = > {height}^{2} = 4 0[/tex]
[tex] = > height = \sqrt{40} [/tex]
=> height = 6.3245553203
When rounded to nearest tenth,
=> height = 6.3
Hence,
Required length of other leg is 6.3 (Ans)
Use the interactive to solve. What is the difference between –5 and 3?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{When you hear the word \underline{\underline{difference}} in math it means subtract/}\\\large\text{subtraction}[/tex][tex]\large\text{When you hear the word \underline{\underline{sum}} in math it means add/addition}[/tex][tex]\large\text{When you hear the word \underline{\underline{product}} in math it means multiply/}\\\large\text{multiplication}[/tex][tex]\large\text{When you hear the word \underline{\underline{quotient}} it means divide/division}[/tex][tex]\large\text{Question reads \underline{\underline{What is the \boxed{\large\text{DIFFERENCE}} between -5 \& 3}} ?}[/tex]
[tex]\large\text{Fun fact: you can use a number line to find your result as well.}\\\large\text{For example in this equation you START at -5 and move down 3}\\\large\text{spaces to your left}[/tex]
[tex]\large\text{REMEMBER: we said difference means \boxed{\large\text{subtract}}, so we have to}\\\large\text{\underline{subtract} both numbers from each other to find their differences.}[/tex]
[tex]\large\text{-5 - 3}\\\large\text{= \bf -8}[/tex]
[tex]\large\text{So, the DIFFERENCE between -5 \& 3 is \boxed{\bf -8}}[/tex]
[tex]\boxed{\boxed{\huge\text{The difference is: \boxed{\bf -8}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Adding the fractions
3/14+2/21+1/6
Answer:
[tex]\frac{10}{21}[/tex]
Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
[tex]\frac{3(3)}{14(3)}[/tex] + [tex]\frac{2(2)}{21(2)}[/tex] + [tex]\frac{1(7)}{6(7)}[/tex]
= [tex]\frac{9}{42}[/tex] + [tex]\frac{4}{42}[/tex] + [tex]\frac{7}{42}[/tex] ← add the numerators, leaving the denominator
= [tex]\frac{9+4+7}{42}[/tex]
= [tex]\frac{20}{42}[/tex] ← divide both values by 2
= [tex]\frac{10}{21}[/tex] ← in simplest form
Find the slope of the line that passes through (2, 18) and (9, 9).
Answer:
m=-9/7
Step-by-step explanation:
Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.
could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.
don't need to follow back.
Answer:
we have to convert that question centimeters to meters
Step-by-step explanation:
I think all are going to be less as you change all of them.
I need help with 20-26 evens
this is simplify? I think it's simplify so I can give you an answer
The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards. Find
the length of the rafter. Round to the nearest 100th.
Answer:
15.81 = ?
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 13^2 = ?^2
81 +169 = ?^2
250 = ?^2
Taking the square root of each side
sqrt(250) =?
15.8113883= ?
To the nearest 100th
15.81 = ?
Answer:
Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]
a= 13
b= 9
c= ? ( length)
[tex]13^{2} +9^{2} =?^{2}[/tex]
[tex]13^{2} =169[/tex]
[tex]9^{2} =81[/tex]
[tex]169+81=?^{2}[/tex]
[tex]250=?^{2}[/tex]
[tex]\sqrt{250}=15.811[/tex]
[tex]?=15.81[/tex]
OAmalOHopeO
16. What is the measure of ZAOB?
Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.
Answer:
8.98π = 28.22 in^2.
Step-by-step explanation:
Area of the whole circle = πr^2 = 7^2 * π
= 49π
So the area of sector MOR
= (66/360) * 49π
= 8.98π = 28.22 in^2.
A bowl contains 10 red marbles and 10 green marbles. A woman selects marbles at random without looking at them. Assume that the woman does not replace the marbles after drawing them. How many marbles must she select to be sure of having at least three marbles of the same color
Answer:
5 marbles
Step-by-step explanation:
Assume the first is color 1
and then the second is color 1
Now the third is color 2
The fourth is color 2
Now the 5th marble of either color will make 3 of one color
