Explanation:
W = (-2,3) is given
Point W ' is the result of reflecting point W over the x axis. We flip the sign of the y coordinate while keeping the x coordinate the same. So W ' = (-2, -3) as shown in the diagram below. The rule for reflecting over the x axis is [tex](x,y) \to (x,-y)[/tex]
Then reflecting over the y axis will have W ' = (-2, -3) become W '' = (2, -3). We flipped the x coordinate's sign this time. The rule for reflecting over the y axis is [tex](x,y) \to (-x,y)[/tex]
Going from W = (-2, 3) to W '' = (2, -3) is the rule [tex](x,y) \to (-x,-y)[/tex] which exactly describes a 180 degree rotation (either clockwise or counterclockwise).
This is one example showing how a composition of reflections results in a rotation. Note that you must have an even number of reflections to produce a rotation. One reflection reverses the orientation, so another reflection is needed to revert back to the original orientation (otherwise, a rotation is not possible as a rotation preserves orientation).
Answer:
(2, -3 )
Step-by-step explanation:
Where the y axis is left side we are asked to reflect -2 3 across into the 3rd quadrant. Then reflect across the y axis line into quadrant 4.
We see that x coordinate will stay -2, but change from -2, 3 to -2, -3 into quadrant 3 and then stay -3 but change to 2 , -3 into quadrant 4.
The population of a city has increased by 36% since it was last measured. If the current population is 71,400,what was the previous population
Answer:
52,500
Step-by-step explanation:
We can convert the word problem into an equation:
1.36x= 71,400
x represents the number of people in the previous population
We divide both sides by 1.36
x=52,500
The previous population was 52,500!
Hope this helps!
Find the domain for the rational function:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
Triangle ABC was rotated about the origin. Which rule
describes the rotation?
A) Ro,90°
B) Ro,180°
C) Ro,270°
D) Ro,360°
The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing [tex]R_0, 270^{\circ}[/tex] is not correct as we don't rotate 270 degrees counterclockwise.
The solution is Option A.
The rotation angle is given by R0 ( 90° )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ABC
The coordinate of A = A ( 1 , 4 )
The coordinate of B = B ( 3 , 4 )
The coordinate of C = C ( 3 , 2 )
Now , when the triangle ABC is rotated 90° counterclockwise rotation: (x,y) becomes (-y,x)
Substituting the values in the equation , we get
The coordinate of A' = A' ( -4 , 1 )
The coordinate of B = B ( -4 , 3 )
The coordinate of C = C ( -2 , 3 )
Hence , the rotation is 90° counterclockwise
To learn more about rotation click :
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For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
WILL GIVE BRAINLIEST AND 30 POINTS! The following transformation uses both scalar and matrix multiplication. What are the coordinates of the resulting figure?
Answer:
(D)
✔ (0, 0), (0, –8), (–4,–8), (–8,0)
Step-by-step explanation:
Answer:
HaVe An aWESomE dAy
Step-by-step explanation:
Please help I need it
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
so
just consider the lengh:
[tex] \frac{1}{3} [/tex]
or the width :
[tex] \frac{3}{9} [/tex]
or the area:
[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]
i need help asap!!!!!!!!!!
Answer:
none of the above
Step-by-step explanation:
Answer:
Your correct option is 'None of the above'
Step-by-step explanation:
Non of these are correct for this equation that needs simplified. Below you can see the simplified version that I have for it.
√5(8 + 3√6) = 8.760271
Simplified: 8.760271
Most widely Spoken Languages
Arabic
English
Hind
Mandarin
Spanish
Russian
220
440
880
1.100
Number of speakers (millions)
About how many more people speak Mandarin than speak Hindi?
About 550 million more people speak Hindi than speak Mandarin.
b. About 500 million more people speak Hindi than speak Mandarin.
About 500 million more people speak Mandarin than speak Hindi.
d. About 550 million more people speak Mandarin than speak Hindi.
a.
C.
Answer:
Option "C" is the correct answer to the following question.
Step-by-step explanation:
Given:
Number of people speak Mandarin = 1,000 million (Approx)
Number of people speak Hindi = 500 million (Approx)
Find:
Number of people more speak Mandarin.
Computation:
Number of people more speak Mandarin = Number of people speak Mandarin - Number of people speak Hindi
Number of people more speak Mandarin = 1,000 million - 500 million
Number of people more speak Mandarin = 500 million
I believe your answer might be
D) About 550 million more people speak Mandarin than speak Hindi.
The graph of y = x2 - 4x is shown on the grid.
By drawing the line y = x -4,
solve the equations:
y = x²- 4x
y=x-4
x=1 y=...
or
x=... y=...
Answer:
Attached pleased find the screen grab of the graph with the line y = x - 4 included
The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)
x = 1 y = -3
or
x = 4 y = 0
Step-by-step explanation:
To verify, we have;
Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows
Thus equating the value of y in both equations gives;
x² - 4·x = x - 4
x² - 4·x -x - 4 = 0
x² - 5·x + 4 = 0
(x - 4) × (x - 1) = 0
Therefore; x = 4 or 1
When x = 4, y = x - 4 = 1 - 4 = -3.
All the side lengths of a rhombus are 6, and one of the angles is 120 degrees. Find the area of the rhombus.
Step-by-step explanation:
Let the rhombus be $ABCD$, where $\angle DAB = 120^\circ$. Then $\angle ABC = 180^\circ - \angle DAB = 180^\circ - 120^\circ = 60^\circ$.
[asy] unitsize(1 cm); pair A, B, C, D; A = (0,1); B = (sqrt(3),0); C = (0,-1); D = (-sqrt(3),0); draw(A--B--C--D--cycle); draw(A--C); label("$A$", A, N); label("$B$", B, E); label("$C$", C, S); label("$D$", D, W); label("$6$", (A + D)/2, NW); [/asy]
Since $AB = BC$, triangle $ABC$ is equilateral. By the same argument, triangle $ACD$ is also equilateral. Each triangle has area
\[\frac{\sqrt{3}}{4} \cdot 6^2 = 9 \sqrt{3},\]so the area of the rhombus is $2 \cdot 9 \sqrt{3} = \boxed{18 \sqrt{3}}$.
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe <3
Answer:
Area of polygon MNOPQR = 13 units
Step-by-step explanation:
Area of smaller rectangle:
(7-3)= 4 units multiplied by (3-2) = 1 unit
= 4 sq. units.
Area of polygon MNOPQR
= 3*3 units + 4*1 units
= 9 units + 4 units
= 13 units
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
What is the approximate radius of a sphere with a volume of 138 cm?
Answer:
r = 3.21
Step-by-step explanation:
What is the  property 7x<42
Answer: division
x = 6
Step-by-step explanation:
Simplifying
7x = 42
Solving
7x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '7'.
x = 6
Simplifying
x = 6
Answer:6
Step-by-step explanation:
Which step is wrong??
Answer:
step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±
Step-by-step explanation:
i hope this will help you :)
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
Which matrix represents the system of equations shown below? 2x-y=-6 and x-6y=13
Answer: D
Step-by-step explanation:
The first matrix contains the coefficients of the x- and y- values for both equations (top row is the top equation and the bottom row is the bottom equation. The second matrix contains what each equation is equal to.
[tex]\begin{array}{c}2x-y\\x-6y\end{array}\qquad \rightarrow \qquad \left[\begin{array}{cc}2&-1\\1&-6\end{array}\right] \\\\\\\begin{array}{c}-6\\13\end{array}\qquad \rightarrow \qquad \left[\begin{array}{c}-6\\13\end{array}\right][/tex]
The product will result in the solution for the x- and y-values of the system.
PLEASE HELP!!!!
On a piece of paper, graph
Then determine which answer choice matches the graph you drew.
Answer: Choice D
Step-by-step explanation: The f(x) values must all be negative numbers.
The open circles represent x values > or < the x.
The solid circles represent x values ≤ or ≥ to the x.
Find values that match up.
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square.
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
In converting 750 ounces to pounds, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 16 ounces in 1 pound.
Answer:
I would use the pounds.
Step-by-step explanation:
The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.
750 ounces 16 ounces
------------------- -----------------
x pounds 1 pound
Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!
In a box, there are 4 red and 9 white balls. How many balls should be taken out of the box, so that there will be at least two red balls among them?
Answer: 11 balls
Step-by-step explanation:
Because there are a total of 13 balls and 4 of them are red, if you are drawing out randomly you have to draw a minimum of 11 balls to guarantee that at least two red balls are among them
Brainliest is much appreciated!
What are the verter and x-intercepts of the graph of the function given below?
y=x2-2x-35
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?
Answer: 52 weeks
Step-by-step explanation:
There are 52 weeks in a year, so she should divide her number by 52.
━━━━━━━☆☆━━━━━━━
▹ Answer
52 weeks
▹ Step-by-Step Explanation
1 year = 52 weeks
Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.
Tatiana made a two-way table to describe what her friends like at the amusement park. Which could be the columns and rows for Tatiana’s table? columns: likes roller coasters, likes water rides; rows: doesn’t like roller coasters, doesn’t like water rides columns: likes water rides, doesn’t like roller coasters; rows: doesn’t like water rides, likes roller coasters columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides columns: doesn’t like water rides, likes roller coasters; rows: doesn’t like roller coasters, likes water ride
Answer:
Option C.
Step-by-step explanation:
It is given that Tatiana made a two-way table to describe what her friends like at the amusement park.
Two way table represents the data for two categorical variables. The categories are labeled at the top and the left side of the table.
In the given case, water rides labeled on the top and roller coasters labeled on left side. Row represents one variable and column represents the other.
Tatiana two-way table is in the form of below table:
likes water rides doesn’t like water rides
likes roller coasters a b
doesn’t like roller coasters c d
where, a, b, c and d are constant.
columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides
Therefore, the correct option is C.
12-3*y=0 help and explain plss
12-3*y = 0
Subtract 12 from both sides:
-3 * y = -12
Divide both sides by -3:
y = 4
Answer:
y=4
Step-by-step explanation:
Standard form:
−3y + 12 = 0
Factorization:
−3(y − 4) = 0
Solutions:
y = 12/3 = 4
Isolate the variable by dividing each side by factors that don't contain the variable:
y=4