Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
Read more at; https://brainly.com/question/18452224
why is number multiplied by it self called a square of a number
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)
24 boys out of 64 classmates is what percent
Answer:
37.5%
Step-by-step explanation:
24÷64=0.375
with percents, you have to move the decimal 2 spaces back
so that equals 37.5%
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Convert 5/8 into a denominator of 100
U can use the cross multiplication to find out
5/8 = x/100
x=5/8 * 100
x= 62.5
Your final answer: 62.5/100
Hope this does it
P.S
Plz mark brainliest?
2 1/2 divided by 5/2 = ?
Answer:
I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.
Step-by-step explanation:
Plz answer I need help my teacher doesn't explain things good
Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?
Answer: 2:100
Step-by-step explanation:
giving brainlist so plzzz help
Fill in the missing numbers in these equations.
(-7) x ? = 14
Answer:
x=-2
Step-by-step explanation:
Divide 14 by -7, then plug in the result(-2) in place of x. Run this new equation(-7*-2=14) through your calculator to be sure it's correct.
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
I need help please , it would be nice
Answer:
cant see the picture
Step-by-step explanation:
Cómo se escribe el doble de un número en lenguaje algebraico
A restaurant manager states the number of customers that enter the restaurant is equal to 4
times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also
states that the number of customers that enter their restaurant is equal to 1 times the number of
people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog
from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round
your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.
The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.
The equation that shows the given condition,
4x + 11 = 1x + 38
x is the no of people
Taking the like terms,
4x-1x=38-11
3x=27
x = 9
So, there are 9 people buying a hotdog from the hotdog cart.
please help i don’t know how to find the slope
Divide. Round to the nearest tenth if necessary. 118.5 divided by 5
Answer:
23.7
Step-by-step explanation:
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answer:
I = $ 1,937.50
Step-by-step explanation:
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?
Answer: No its not a right angled triangle. Please mark as brainliest!
Answer:
Yes
Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B
Answer:
c.gle c.angel B
Step-by-step explanation:
consider the triangle which shows the order of the angles from smallest to largest?
what is 1+3x when x=1
Answer:
4
Step-by-step explanation:
1+3*1
3*1=3
3+1=4
Answer:
the answer is 4
Step-by-step explanation:
you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answer:
have you found the answer I need it to
find the square root of 144
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
Describe the end behavior of the graph f(x) using limits.
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
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Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?
Step-by-step explanation:
A. For Tavon's gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=145-3.5x------1
for Tavon's second gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=125-3x-------------2
B. equating 1 and 2 we have
145-3.5x=125-3x
solve for x we have
145-125=-3x+3.5x
20=0.5x
divide both sides by x we have
x=20/0.5
x= 40
put x=40 in
y=145-3.5*40------1
y=145-140
y=$5
put x=40 in
y=125-3*40------1
y=125-120
y=$5
What goes in the blank?
A always
B sometimes
C never
D rarely
Answer:
B
Step-by-step explanation:
Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers
Answer:
Step-by-step explanation:
220 is the answer
176 + 43 = 219
219 is almost 220
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))