Answer:
R(x, y) = (x, -y)
Step-by-step explanation:
When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.
For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.
So if we have a point like (4, 7)
Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)
Here we already can see the rule.
If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)
Then we can write this reflection as a function in the next way:
R(x, y) = (x, -y)
This means that if the input is the point (x, y), the output is the point (x, -y)
15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
skirts cost $215. How much do 5 such blouses cost? need this ans asap!
Answer:
Cost of five blouses = $145
Step-by-step explanation:
Let
x = cost of blouse
y = cost of skirt
15x + 2y = 505 (1)
5x + 2y = 215 (2)
Subtract (2) from (1) to eliminate y
15x - 5x = 505 - 215
10x = 290
x = 290/10
x = 29
Substitute x = 29 into (2)
5x + 2y = 215 (2)
5(29) + 2y = 215
145 + 2y = 215
2y = 215 - 145
2y = 70
y = 70/2
y = 35
x = cost of blouse = $29
y = cost of skirt = $35
How much do 5 such blouses cost?
cost of a blouse = $29
Cost of five blouses = $29 × 5
= $145
Cost of five blouses = $145
Rori read 5 books last month. Here are the number of pages in each book that she read. (120, 106, 94, 100, 180) What is the mean absolute deviation (MAD) of the number of pages in the 5 books Rori read?
Answer:The mean absolute deviation (MAD) of the number of pages in the 5 books Rori read =24
Step-by-step explanation:
To find the the mean absolute deviation (MAD,we start firt by
Getting the mean of all values
Mean =120, 106, 94, 100, 180/5 =600/5=120
Next we subtract the mean value from each value which is called distance
120 -120 = 0
106 -120 = -14
94 -120= -26
100 -120=-20
180 -120=60
Thirldly, we find the mean of the distances ignoring the negative signs
0+14+26+20+60 / 5 = 120/5=24
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
6 sessions
Step-by-step explanation:
s= session
silver gym: 30 + 45s
session 1: 75
session 2: 120
session 3: 165
session 4: 210
session 5: 255
session 6: 300
fit factor: 90+ 35s
session 1: 125
session 2 : 160
session 3: 195
session 4: 230
session 5: 265
session 6: 300
help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
Find the perimeter of the figure.
Answer:
56 meters or 56 m
Step-by-step explanation:
We first want to find the small square at the top it has 3 sides of the same length so it must be a square
5+5+5 is = to 15.
Then to find the bottom rectangle we so 7+7+11+11+5 and we get 14+22+5 and then 36+5 to end up getting 41
Then 41+15=56
Find the value of x and classify the triangle plzzz
Answer:
x=24°
The triangle is an obtuse isosceles triangle
Step-by-step explanation:
This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.
The interior angles of a triangle add up to 180, so let's make an equation.
132+2x=180
Then solve for x
subtract 132 from both sides
2x=48
Divide by 2 on both sides
x=24
what is the area of this quadrilateral
Answer:
The area of it is 52 square feet
Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
If a quadrilateral has exactly one pair of congruent, opposite angles, then the quadrilateral is a ______
I want to build a shed that is 16‘ x 20‘ while I am measuring the foundation I measure the diagonal from one born to another measurement is 29 feet is the corner 90°?
Answer:
the corner is not 90 degrees
Step-by-step explanation:
To confirm if the corner is 90 degrees, we would use Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
16² + 20² =
256 + 400 =656
find the square root of 656
= 25.6 feet
If the corner was 90 degrees the diagonal should be 25.6 feet and not 29 feet
What is the volume of a cylinder that has the following measurements?
area of each base: 50.24 ft2
area of lateral surface: 75.36 ft2
height of cylinder: 3 ft
128.6 ft 3
226.08 ft 3
150.72 ft 3
175.84 ft 3
bad answers will get banned good answers will get brainlist please
Volume of a cylinder = area of base x height:
50.24 x 3 = 150.72 ft^3
Answer:
150 ft³
Step-by-step explanation:
base = circle..................base area = area of the circle = πr².
to get the radius of the circle, we substitute from the formula.
let π be 3.142
3.142 × r² = 50.24.............................. 3.142r² = 50.24
divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.
VOLUME = πr²h
= 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³
This is another way of doing it.
What shape do degree 3 functions have?
Answer: Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: One to three roots. Two or zero extrema.
HOPE THIS HELPS
Please brainliest
8x−2=−11+7x +2
Please help me!!
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
Which of the following is a solution to the equation2/3 x + 16 = -14?
Answer:
x= -45
Step-by-step explanation:
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
Collecting-
-4s + 5 + 5s - 3s
Answer:
-2x+5
Step-by-step explanation:
Let's simplify step-by-step.
−4x+5+5x−3x
=−4x+5+5x+−3x
Combine Like Terms:
=−4x+5+5x+−3x
=(−4x+5x+−3x)+(5)
=−2x+5
Hope this helps :)
On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?
i)It ended at 21:13
ii) 440*10/100
44 mins longer
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
110% = 440 minutes (Tuesday journey)
100% = 100/110 x 440
100% = 400 minutes (Monday journey)
Tuesday's journey took 40 minutes longer than Monday's journey.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
On Tuesday the train journey took 7 hours and 20 minutes and began at
13:53.
The time train journey ended.
= 13:53 + 7 hours + 20 minutes
= 13 hours + 53 minutes + 7 hours + 20 minutes
= 20 hours + 73 minutes
= 20 hours + 60 minutes + 13 minutes
= 20 hours + 1 hour + 13 minutes
= 21 hours + 13 minutes
This means,
= 21:13
The train ended the journey at 21:13
Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.
This means,
Converting into minutes.
7 hours 20 minutes
= 60 x 7 + 20 minutes
= 420 minutes + 20 minutes
= 440 minutes
Monday's journey time.
110% = 440 minutes:
100% = 100/110 x 440
100% = 400 minutes
Thus,
Tuesday's journey took 40 minutes longer than Monday's journey.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
I need help please (25 points)
Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
How long will it take the population of a certain country to double if it’s annual growth rate is 7.3%?
Can someone explain this to me please
Answer:
14.4
Step-by-step explanation:
What is the solution to this system of equations?
18x - y = - 42
y= (-43x+34)/20
Answer:
X=-2
Step-by-step explanation:
equation a)
-y=42+18x
equation b)
y= (-43x+34)/20
Solution
42+18x= (-43x+34)/20
20(42+18x)=-43x+34
840+360x = -43x+34
360x+43x=34-840
403x= -806
x= -(806/403)
x= -(2)
x= -2
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds
Answer:
13 pounds
Step-by-step explanation:
We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:
205 - 192 = 13 pounds
That means that the box and the packaging is 13 pounds. Hope this helps!
Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5
Simplify A:
2(x+3)-2
Use distributive property:
2x+6-2
Combine like terms:
2x+4
This is the same as B.
A and B are equivalent.
Jamie is going to pretend he is a race car and run around the outside of the track from point A to point B
How far is Jamie going to run?
A 471 feet
B 150 feet
C 540 feet
D 84 feet
The Answer Is 540 Feet.
Angle AB is 45% of 1,200, 1/2 of the full track.
Do 0.45x1,200=540.
can someone help me solve this question for brainliest please:))
Answer:
if I'm right, you are trying to find the area of the parallelogram. if you are trying to find the area, then based on the information provided, you need to add the purple side (9.2 cm) with the grey side (2 cm) which gives you 11.2 cm. then you would multiply this answer by the blue line (7 cm) giving you 78.4 cm. finally, you divide this by 2 giving you 39.2 cm. I'm not sure if this was what you were looking for, but I hope this helps either way.
Step-by-step explanation:
(9.2 + 2) x 7/2
11.2 x 7/2
78.4/2 = 39.2
He exponential model describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003. The population of the country in 2003 was nothing million.
Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million
Benny plant grew 16.8 centimeters this year. The plant grew the same amount each month. How much did the plant grow each month?
Answer:
1.4 centimeters each month
Step-by-step explanation:
we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:
16.8/12 = 1.4
What’s the growth factor of f(x)=500(1+.12)^x
Answer:
12%
Step-by-step explanation:
For every value of x, the initial value is increased by 1+0.12 = 100% + 12%.
meaning we are adding 12% for every value of x
large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?
Answer:
36 units of small size popcorn
23 Units of Large popcorn
Step-by-step explanation:
Data:-
Cost of large bag of popcorn = $4/-
Cost of Small bag of popcorn = $3/-
Unit Sold = 59 Bags
Sale = $200.
Required:-
No of unit each size sold = ?
Solution:-
After applying direct formula to computation is below mentioned:
= (36 x 3)+(23x4)
=$200
