Image of coordinate A about x axis is A’=(-1,-4)
Image of coordinate B about x axis is B’=(-5,-8)
Image of coordinate C about x axis is C’=(-5,-4)
Image of coordinate D about x axis is D’=(-4,-2)
Define reflectionReflection, in mathematics and geometry, is a transformation that produces a mirror image of a shape or object across a line or a plane. The line or plane across which the reflection occurs is called the line of reflection or the mirror line.
Reflected across the x axis(x,y)=(x,-y)
Coordinate of A=(-1,4)
Image of coordinate A about x axis is A’=(-1,-4)
Coordinate of B=(-5,8)
Image of coordinate B about x axis is B’=(-5,-8)
Coordinate of C=(-5,4)
Image of coordinate C about x axis is C’=(-5,-4)
Coordinate of D=(-4,2)
Image of coordinate D about x axis is D’=(-4,-2)
To know more about line, visit:
https://brainly.com/question/30003330
#SPJ1
Pls answer this line problem
Answer:
2 1/4
Step-by-step explanation:
how am i supposed to explain this (wait until someone else answers aswell im not that smart)
In an insect colony, there are 270 insects after 7 days. If there were initially 80 insects, how long will it take the population to grow to 700 insects?
Step-by-step explanation:
Total insects = 270
Days = 7
If 80 insects to 700 insects
Days = 700 ÷ 80 = 8.75
It will take 8.75 days
Find the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity.
Step-by-step explanation:
To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due ($32,000)
- PMT is the monthly payment we want to find
- r is the annual interest rate (7.9%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**
Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.
Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
To read more about Percentage.
brainly.com/question/25896797
#SPJ1
complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700
Answer: The answer is B:350
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Got it right
Find the area of the shaded region. Round your answer to two decimal places.
The area of the shaded region is x=245 feet for both rectangle and circle.
What is meant by area?The quantity area expresses the extent of a region on a plane or a curved surface. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be defined as the amount of material of a given thickness required to make a model of the shape, or the amount of paint required to cover the surface with a single coat. It is the two-dimensional equivalent of the length of a curve or the volume of a solid.
The area of a shape can be calculated.
Area of shaded region=Area of rectangle-1/2(Area of circle)
=L×B-1/2(πr²)
=23×14-1/2((22/7)×7×7)
=322-77
=245 feet
Therefore, the area of the shaded region=245 feet
To know more about area, visit:
https://brainly.com/question/13194650
#SPJ1
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
What is the solution to the equation 82 (4x + 2) = 10?
Answer:
x = -77/164
Step-by-step explanation:
82(4x+2) = 10
328x+164 = 10
328x = -154
x = -77/164
Answer:
\(-\frac{77}{164}\)
Step-by-step explanation:
Apply the distributed property: 82 × 4x = 328x, 82 × 2 = 164Re-write the problem: 328x + 164 = 10Subtract 164 from each side, so it now looks like this: 328x = -154Divide each side by 328 to cancel out the 328 next to x. It should now look like this: \(x = -\frac{77}{164}\)I hope this helps!
Find the area of the shaded region if the dimensions of the unshaded region are 14ft x 18ft . Use 3.14 for π as necessary. Answer Asap Please! That would be greatly appreciated! PLEASE HELP ME ON THIS ASAP FIRST ANSWER GETS BRAINLIEST
Answer:
867.44 ft²
Step-by-step explanation:
The area of the shaded region is A = 196π + 252.
We have the dimensions of the unshaded region are 14ft x 18ft.
We have to find the area of shaded region.
What is the area of a Rectangle and a Circle?The area of a rectangle is -
A(R) = Length x Breadth = L x B
and the area of Circle is -
A(C) = \(\pi r^{2}\)
According to the question -
Dimensions of the unshaded region -
L = 18ft
B = 14ft
Area of the shaded region (A) = Total Area - Area of Rectangle
Total Area = Area of 2 semicircles of radius (7 + 7) 14ft + Area of rectangle of length 18ft and breadth 28ft.
Total Area = ( \(2\times \frac{1}{2}\times \pi \times14 \times 14\) ) + ( 18 x 28)
Total Area = 196π + 504
Area of the shaded region (A) = 196π + 504 - 252 = 196π + 252
Hence, the area of the shaded region is A = 196π + 252.
To solve more questions on Area of Figures, visit the link below -
https://brainly.com/question/9720037
#SPJ2
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Solve the following pair of simultaneous equations
X + y = 13
4x + y = 31
Answer:
x = 6 y = 7
Step-by-step explanation:
You can isolate y using the first equation and get y = 13 - x.
Plug in for y using the second equation.
4x + (13 - x) = 31 Solve for x
4x - x = 18
3x = 18
x = 6 Plug in for x using the first equation.
(6) + y = 13 Solve for y
y = 7
I hope this helped and please mark me as brainliest!
Answer:
The solution is (6, 7)
Step-by-step explanation:
Let's solve this system by elimination by addition and subtraction. To accomplish this, subtract each term of the first equation by the corresponding term beneath it (e. g., subtract x in the first term from 4x in the second term):
3x = 18, which leads to x = 6.
Now substitute 6 for x in the first equation. We get: 6 + y = 13, so y must be 7.
Substituting 7 for y in the second equation, we get 4x + 7 = 31, or 4x = 24.
Then x must be 6, and so
The solution is (6, 7)
What is the x-intercept for function f?
f(x) = −23x + 8
The x-intercept for function f(x) = −23x + 8 is (8/23, 0)
In this question, we have been given a function f(x) = −23x + 8
We need to find the x-intercept for given function f(x)
Let f(x) = y
So, given function becomes,
y = −23x + 8
To find the x-intercept, set y = 0,
0 = -23x + 8
23x = 8
x = 8/23
Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)
Learn more about x-intercept here:
https://brainly.com/question/14180189
#SPJ1
6+ 4/39 as a mixed number
Answer:
6 4/39
Step-by-step explanation:
The above is the answer because you are just adding a whole number and a fraction which is what mixed numbers/mixed fractions are.
Answer:
6 4/39
Step-by-step explanation:
So first you would make 6 into a fraction by adding a 1. so the equation is now 6/1 + 4/39. then you would get a common multiple for the denominators. For this it would be 39. so 6 X 39 = 234. now the problem is 234/39 + 4/39. Add
238/39 divide for simplist form and you have 6 and 4/39s.
Graph the line with slope 2 passing through the point (-5, 2)
Answer:
Equation is y=2x+12
The image is a picture of the graph(it's not the best but it's something.
Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $61 for parts. The total was $226. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
Step-by-step explanation:
The cost of the labor per hour will be $35.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $85 for parts. The total was $225.
The expression will be formed as below to get the value of x.
4x+85 =225
x =35
Therefore, the cost of the labor per hour will be $35.
To know more about Expression follow
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
The sixth-grade class is going to the local art museum. There are 46 students in the class. The total cost of the tickets for all the students is $379.50. What is the cost of one student ticket?
Each ticket cost $8.25
Step-by-step explanation:
Divide 379.50 by 46 to get 8.25
379.50/36=8.25
Double check
8.26 x 46 = 379.50
Target buys a pair of shoes for 20, but they sell it to the public for 35. what is the percent of change that target marks the shoes up for
Answer:
75%
Step-by-step explanation:
To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.
Using this formula, the percent of change that Target marks the shoes up for is:
(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%
This means that Target marks the shoes up by 75% of their cost.
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
To learn more about : distance
https://brainly.com/question/26046491
#SPJ11
What is (2x + 3)??
(2x + 3)?
1x2 +
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)(2x+3)
Multiply 2x by 2x first.
then 2x by 3
and then repeat that step and you add like terms
then recieve your answer.
Answer:
4x^2 + 12x + 9
Step-by-step explanation:
Actually, you are to find (2x + 3)^2, which is "the square of 2x + 3."
2x + 3 is a binomial. There is a formula for the square of a binomial:
(a + b)^2 = a^2 + 2ab + b^2
Following this pattern,
(2x + 3)^2 becomes:
[2x]^2 + 2[2x][3] + [3^2], or
4x^2 + 12x + 9
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeh plllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllls
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
Vertically compressed by a factor of 9Shifted down by 2Read more about transformation at
brainly.com/question/27224272
#SPJ1
A company has to buy computers and printers. Each computer, x, costs $560 and each printer, y, costs $340. If the company spends $6,540 and buys a total of 16 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is __________ and ____________.
The company bought __________computers and _________printers.
Answer:
yrsdhhdjdbzbdvbs. Es 560
PLZ answer my question for God's sake
Answer:
a. 2x+3z
b. 7xy
c. \(\frac{3ab}{2c}\)
d. 10z-6q
e. Subtract xy from the sum of p and q.
f. Divide the sum of 3 and y by 5.
g. Subtract 2c from the square root of b.
h. 3x ... 4x ...
i. 3y ... y+5 ... 5y+5
j. length ... 3 ... breadth ... 8b ... 3b²
Step-by-step explanation:
Sum means addition. 2x + 3z
Product means multiplication. 7y × x = 7xy
Divide 3ab by 2c. 3ab ÷ 2c = \(\frac{3ab}{2c}\)
Subtract 6q from 10z. 10z-6q
(p+q)-xy : Subtract xy from the sum of p and q.
(3+y)/5: Divide the sum of 3 and y by 5.
\(\sqrt{b}\)- 2c: Subtract 2c from the square root of b.
Let the number of boys be x. Girls are three times more so 3 × x = 3x. The total would be 3x + x = 4x.
Let Nora's age be y. Father is three times more so 3 × y = 3y. Brother is 5 more so would be y+5. The total would be y + 3y + y + 5 = 5y+5
3b is three times more than b, the breadth. Thus, the length is three times more than the breadth since it is 3b. The perimeter would be 3b + b + 3b + b = 8b. The area would be 3b × b = 3b²
Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124
Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.
Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.
Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.
I hope this helps! Do you have any other questions?
A regular hexagon has a perimeter of 120 m. Find its area. Express your answer in the simplest radical form.
A) 1800√3m^2
B) 5√3m^2
C) 600√3m^2
D) 3600√3m^2
The area of the regular hexagon value calculated using given perimeter of the regular hexagon is equal to option C. 600√3 square meters.
As given in the question,
Perimeter of the regular hexagon is equal to 'P' = 120m
Relation between the area of the regular hexagon 'A' and the perimeter of the regular hexagon 'P is given by :
A = √3 × ( P²/24 )
= √3 × [(120)²/ 24]
= √3 × ( 14400 / 24 )
= √ 3 × 600
= 600√3 square meters
Therefore, the area of the regular hexagon using the perimeter of the regular hexagon is equal to Option C. 600√3 square meters.
learn more about area here
brainly.com/question/27683633
#SPJ4
When two functions have different rates of change, and different initial values, the function with the greater rate of change will have the greater output value for every input value.
The function with the greater rate of change will have the greater output value for every input value which is true.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Let m₁ > m₂ and c₁ > c₂. Then the equations are given as,
y = m₁x + c₁
y = m₂x + c₂
The function with the greater rate of change will have the greater output value for every input value which is true.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ1
At a local play, student tickets cost $6 each and adult tickets cost $11 each. If ticket sales were $3,000 for 400 tickets, how many students attended the play?
A 120
B 180
C 220
D 280
There are 280 students attending the play.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given student tickets cost $6 each and adult tickets cost $11 each,
let a number of students be x and the number of tickets be y
total tickets sold = 400
x + y = 400
and total amount made = $3000
so 6x + 11y = 3000
from equation 1,
y = 400 - x
substitute in the equation,
6x + 11y = 3000
6x + 11(400 - x) = 3000
6x + 4400 - 11x = 3000
-5x = 3000 - 4400
-5x = -1400
x = 1400/5
x = 280
and y = 400 - 280
y = 120
Hence 280 students attended the play.
Learn more about linear equations;
https://brainly.com/question/11897796
#SPJ1
Out of 350 students, 315 went
on the class field trip. What
percent of the students did
not go on the class field trip? Hurry! I need the answer asap!
Answer:
350-315=35
(35÷350)×100
=10%
Answer:
10%
Step-by-step explanation:
I subtracted the number of total students by the ones that went on the field trip.
350 - 315 = 35
35 students did not go on the field trip.
We can turn this into a fraction:
\(\frac{35}{350}\)
\(\frac{35}{350}\) = \(\frac{1}{10}\)
\(\frac{1}{10}\) = 10%
10% of students did not go on the class field trip.
what are the steps to a graph a quadratic function
You need 3 points to graph a quadratic function.
It is advisable that one of these points be the vertex, because the line of symmetry passes through it
Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.
For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:
y = (3 - 4)² + 3
y = 1 + 3
y = 4
Replacing with x = 5 into the equation, we get:
y = (5 - 4)² + 3
y = 1 + 3
y = 4
Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows: