Answer:
The distance between the two numbers, -2.2 and 8.4 on a number line is:10.6 units.Distance of two numbers on a number line can be calculated by finding the absolute value of the their difference.Thus:if a and b are two numbers on a number line, their distance would be:|a - b| Given two numbers on a number line are:-2.28.4Distance between them = |-2.2 - 8.4| = 10.6 unitsTherefore, the distance between the two numbers, -2.2 and 8.4 on a number line is: 10.6 units.
Step-by-step explanation:
An airplane descended 225 m in 10 s. What was the airplanes rate of change in elevation
The rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplaen descends at a rate of 22.5 meters per second.
What was the airplane's rate of change in elevation?The rate in change of the elevation will be given by the quotient between the change in elevation and the time in which that change happens.
Here we know that the airplane descended 225 meters, so the change in elevation is:
C = -225m
And that change happens in 10 seconds, so the rate of change in elevation will be:
R = -225m/10s = -22.5 m/s
The airplane descends at a rate of 22.5 meters per second.
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Emergency helppppp mee one questionn plsss yikessss!!!
Answer:
It is the last answer shown where the absolute value of -4 is the greatest
-2.47, -2, -1 3/4, -3/8, | -4 |
Step-by-step explanation:
Absolute value indicates how far away a value is from zero. The sign is not relevant in that context.
74% of 315 but also please round if you can
?
Answer:
233.1 or if you round just 233
Step-by-step explanation:
brianlist?
Answer:
233.1 but it would be 233 or 230 rounded
Davis is trying to decide between two part time jobs on Saturdays. He could make $16.25 per hour working
at the city's ice arena, but getting to work and back would cost him $7.50 round trip for travel. His other
option is to work as a dog walker in his neighborhood for $12.50 per hour but he can ride his bike or walk
there for free. He estimates he could work up to 7 hours at the arena but up to 10 hours walking dogs. He
always works at least 1 hour if he goes to the arena.
1. Write two different functions that represent Davis's gross wages, where h is the number of
hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and
d(h) is his gross wages from walking dogs.
1. State the domain and range for each function.
2. If Davis works 1 hour, what would be his gross pay at each job? What if he worked 6 hours?
3. Davis wants to know what his net pay, also called take-home pay, is going to be. Assume that
10.5% of just his paycheck, not his travel expenses, is withheld for taxes at the arena. Because
dog walking is a self-employed activity, Davis estimates he needs to set aside 18% of his income
for taxes. Modify your functions from question 1 to model net pay including these tax
withholdings.
4. State the domain and range for each of these new functions.
1) Two different functions that could represent Davis' gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs are:
Function A: a(h) = 16.25h - 7.50
Function B: d(h) = 12.50h
2) If Davis works 1 hour, his gross pay at each job is:
1 Hour 6 Hours
a) $16.25 $97.50
b) $12.50 $75
3) To find Davis' net pay after tax, the modified functions in question 1 are as follows:
Function A: a(h) = (16.25h - 7.50)(1 - 0.105)
Function B: d(h) = 12.50h(1 - 0.18)
4) The domain and range for each of these new functions are:
Domain Range
a) Function A [1, 2, ... 7] [7.83, 15.66, ... 54.81]
b) Function B [1, 2, ... 12] [10.25, 20.5, ... 123]
What are the domain and range of a function?The domain refers to all the possible values of the independent (input) variables.
The range refers to the possible values of the dependent (output) values.
Data and Calculations:Arena Dog Walking
Pay rate per hour $16.25 $12.50
Travel expense $7.50 $0
Maximum hours worked 7 hours 10 hours
Gross pay for one hour $16.25 $12.50
Gross pay for 6 hours $97.50 $75
After
Tax 10.5% 18%
After-tax factor (1 - 0.105) (1 - 0.18)
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write the answer from top to bottom
Answer:
b
Step-by-step explanation:
state 3 fractors other than $/ hours
Find the equation of the containing the points (3,0) that is perpendicular to the line y=-3/4x+1
The equation containing the point (9,12) is y = 4/3x.
What are equations?An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations. When you don't know the exact number in a calculation, you use algebra. Many professionals, including air traffic controllers, architects, computer programmers, and carpenters, use equations on a daily basis.So, perpendicular = m1 × m2 = -1:
Now,
- 3/4 × 4/3 = -1y = 4/3x + b10 = 1/3(9) + b12 = 12 + bb = 0y = 4/3x + 0y = 4/3xTherefore, the equation containing the point (9,12) is y = 4/3x.
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The correct question is given below:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).
Part 1: Use complete sentences to explain why solar flares occur.
Part 2: Give two examples in which solar flares impact Earth.
Some consequences of solar flares on Earth are: radio blackouts, intense auroras, damage to communication satellites, among others.
What is a solar flare?A solar flare is a term that refers to a sudden and intense release of electromagnetic radiation in the Sun's Chromosphere. In general, what happens in a solar flare is that the plasma is heated to tens of millions of degrees kelvin; this accelerates electrons, protons, which in turn produces electromagnetic radiation in all wavelengths of the electromagnetic spectrum.
How do solar flares impact the Earth?Strong solar flares can cause different manifestations on Earth such as:
By sending huge clouds of plasma into space that hit the Earth they can cause geomagnetic storms and intense auroras.Some larger waves can trigger radio blackouts.Some waves can cause power outages and damage communication satellites.Some waves can damage electronic equipment and the equipment of astronauts or passengers on high-flying aircraft.Learn more about solar flares in: https://brainly.com/question/2886237
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im so confused on this (help ASAP)
Answer:
x = 4
Step-by-step explanation:
Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)
Perimeter of square: P = 4(6.5x - 11.8)
so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)
5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2
12.2x + 8 = 26x - 47.2
26x - 12.2x = 8 + 47.2
13.8x = 55.2
x = 55.2/13.8 = 4
7. If U= {2, 4, 6, 8, 10, 12, 14, 16} and
A = {6, 10, 14}, what is A'?
The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
We are given the universal set as:
U = {2, 4, 6, 8, 10, 12, 14, 16}
We are also given that set A is:
A = {6, 10, 14}
We need to find A'
For this, we will subtract set A from the universal set, U.
So, we get that:
A' = U - A
A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}
Solving the expression, we get that:
A' = {2, 4, 8, 12, 16}
Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.
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1. A honeybee leaves the hive and travels 2 KM before returning. What distance did the
honeybee travel and what was the honeybee's displacement
Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0
Displacement is defined as the shortest distance travelled by the object.
According to the question we have been given that the honeybee travelled 2km before returning to the hive.
Thus the total distance travelled by the honeybee is = 2 + 2 km
= 4 km
And the honeybee’s displacement = 0
Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.
Hence total distance = 4km
And displacement = 0
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The Earth’s total land area is 57,308,738 square miles. The land area of North America is about 16.5% of this total. Estimate the land area of North America. Describe your strategy.
The land area of North America is 9,455,941.77 square miles.
What is the land area of North America?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.
In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.
Land area of North America = percentage of the land area of North America x total land area
16.5% x 57,308,738
0.165 x 57,308,738 = 9,455,941.77 square miles
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how many times does the digit 9 appear in the counting numbers from 1 to 99?
In the counting of numbers from 2 to 99, the digit 9 appears 20 times.
Listing the Numbers
To identify how many times the digit 9 appears, we can first list the numbers we know have a 9 in them:
9, 19, 29, 39, 49, 59, 69, 79, 89, 99
Although we've identified these numbers, we are not finished. Numbers in the 90s also qualify as digits of 9. Therefore, these numbers also are included:
91, 92, 93, 94, 95, 96, 97, 98
Answer RecapNow that we have all the numbers from 1 to 99 with the digit 9 in them, we can count up how many numbers there are with consideration that the number 99 also has two digits of 9 in it:
[(10 + 8) + 2] = 20
Hence, the digit 9 appears 20 times in the counting numbers from 1 to 99.
Answer:
There are 20 times the digit 9 appears in counting numbers from 1 to 99.
Step-by-step explanation:
To see why this is the case, we can break the counting numbers down into two categories: numbers with a 9 in the units place and numbers without a 9 in the units place.
For the first category, we can count the number of times a 9 appears in the units place by counting from 9 to 99 in increments of 10. There are 10 numbers in this category.
For the second category, we can count the number of times a 9 appears in the tens place by counting from 19 to 99 in increments of 100. There are 10 numbers in this category as well.
Therefore, the total number of times the digit 9 appears in counting numbers from 1 to 99 is 20 times.
Precipitation for the month of March was 4 3/4 inches less than average. I’m April, the precipitation was 1 1/2 inches less than average. How many inches below average was the precipitation for both March and April?
The inches below average was the precipitation for both March and April is 6 1/4 inches
How to compute the value?From the information given, the precipitation for the month of March was 4 3/4 inches less than average. In April, the precipitation was 1 1/2 inches less than average.
Therefore, the inches below average will be:
= 4 3/4 + 1 1/2
= 4 3/4 + 1 2/4
= 6 1/4
The inches is 6 1/4 inches.
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Simplify to lowest terms if possible: 14c/12c
Hello!
[tex]\frac{14c}{12c}[/tex] simplified to lowest terms is [tex]\frac{7c}{6c}[/tex]
Step-by-step explanation:
Other simplified versions of the expression is [tex]\frac{7}{6}[/tex], [tex]1.16[/tex], 1 [tex]\frac{1}{6}[/tex]
Hope this helps!
it takes 4 cans of paint to paint 1/3 of a room. How many cans of paint do I need to paint 1 room? Solve using a strip diagram
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
What is the number of cans that would be required to paint one room given the premise as in the task content?It follows from the task content that the number of cans of paint that would be required to paint one room according to the task content be determined.
Hence, since it takes 4 cans of paint to paint 1/3 of a room.
Hence, since there are 3 One-thirds in a whole, it follows from proportion that the number of cans of paints required is;
= 3 × 4 cans of paint
= 12 cans of paint.
The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.
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Find the equation of the plane that goes through three points:
A (0, 3, 4)
B (1, 2, 0)
C (-1, 6, 4)
I know there are good algorithms to do this problem with, and I've gotten 6x - 2y + z = -2 as my answer, which is correct to my knowledge.
HOWEVER...the teacher wants to go with a three-variable, three-equation system of equations with the format of z = m(x) + n(y) + c for each point.
That would mean the following equations:
4 = m(0) + n(3) + c
0 = m(1) + n(2) + c
4 = m(-1) + n(6) + c
I'm confused as to why anyone would want us to use a system.
How do I proceed from here to get the same answer as the algorithm got?
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
How to find the equation of a plane given three points?The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
3b + c = 4.a + 2b + c = 0.-a + 6b + c = 4.From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
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mario se fue de compras con 90 soles los cuales gasto de la siguiente manera en chompas gasto el doble que en camisas y en pantalones gasto el triple que en camisas¿ caunto gasto en pantalones?
The amount spent on pants based on the information illustrated is 45 soles.
How to calculate the value?Let the amount spent of shirt = x
Amount spent on sweaters = 2x
Amount spent on pants = 3x
Amount spent = 90
Therefore, the value will be:
x + 2x + 3x = 90
6x = 90
Divide
x = 90/6
x = 15
Therefore, the amount spent on pants will be:
= 3x
= 3 × $15
= 45 soles.
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2) a) If the function f(x) = |x| is changed to g(x) = 3|x-1| +3,
how is the graph transformed? (left, right, up, down? By how much?)
b) On the blank graph, graph the function g(x) = 3 |x-1| +6
8
6
21
-10 -8 6-4-2 2468
-24
7
f
8
Step-by-step explanation:
a) right - 1 unit; up - 3 units; angle between branches is decreased. All the details are in the attachment;
b) the required graph is in the attachment.
How do you solve this?
The measures of the angles are:
m<7 = 47°
m<8 = 62°
m<1 = 62°
m<2 = 71° [vertical angles theorem]
m<5 = 109°
m<3 = 109°
m<4 = 35°
m<6 = 29°
What is the Alternate Interior Angles Theorem?The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.
Measure of angle 7 = 47° [based on the alternate interior angles theorem]
Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]
Measure of angle 8 = 62°
Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]
Measure of angle 1 = 62°
Measure of angle 2 = 71° [vertical angles theorem]
Measure of angle 5 = 180 - 71 [linear angle theorem]
Measure of angle 5 = 109°
Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]
Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]
Measure of angle 4 = 180 - 109 - 36
Measure of angle 4 = 35°
Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]
Measure of angle 6 = 180 - 109 - 42
Measure of angle 6 = 29°
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Points A, B, C and D are collinear. Point B is between A and C. Point C is between B and D. Suppose BC = 14 + x, AD = 42 + x, and AC = x + 32. Find x =, AB =, BC =, CD =, AC =, AD=
A possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
What are the lengths of collinear line segments?
In this question we have four points that are collinear, that is, that lie on the same line. Mathematically, speaking we have the following equations representing the geometric system:
BC = 14 + x (1)
AD = 42 + x (2)
AC = x + 32 (3)
By (1) and (3):
AB = (x + 32) - (14 + x)
AB = 18
By (2) and (3):
CD = (42 + x) - (x + 32)
CD = 10
If x = 0, then BC, AD and AC are, respectively:
BC = 14, AD = 42, AC = 32
Then, a possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).
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Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?
The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.
In a general point (x,y) , the value x represents the distance from origin to point along x - axis,
and
the value y represents the distance from origin to point along y axis.
It is given in the question that
There are two points in which the y coordinate of both the points is same
the x coordinate is of opposite signs.
Let us take an Example
let the points be A(a,b) and B(c,d)
According to the question
b = d and -a = c
So the points will become (a,b) and (-a,b)
For Example ;
let a=2, b=3
the two points will become (2,3) and (-2,3).
Therefore , the possible graph of these points is shown below .
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Calculate the finance charge for a credit card that has given the average daily balance and interest rate. (Round your answer to the nearest cent.) average daily balance: $118.18, monthly interest rate: 1.15%
The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
What is finance charge?The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.
Given:
Average daily balance: $118.18,
monthly interest rate: 1.15%
According to given question we have
A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .
i.e
[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]
Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.
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Evaluate the expression when a = 3 and c = -4.
-a+7c
Answer: -31
Step-by-step explanation:
a = 3 and c = -4.
-a+7c = -3+(7*-4) = -31
Answer:
- 3 + 7(- 4)
- 3 + - 28
= - 31
Hope this helps :)
I really don’t understand Exponents Much. Could someone explain the subject to me? I learn best with examples!
Tysm <3
Exponentiation is a mathematical operation denoted by the symbol bn that consists of two numbers, the base b, and the exponent or power n, and is pronounced as "b (raised) to the (power of) n."
What are exponents?Exponentiation is a mathematical operation denoted by bⁿ the symbol bn that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b (raised) to the (power of) n." Exponentiation corresponds to repeated multiplication of the base when n is a positive integer: bⁿ is the product of multiplying n bases:[tex]b^n=\underbrace{b \times b \times \cdots \times b \times b}_{n \text { times }}[/tex]
Typically, the exponent is shown as a superscript to the right of the base. In that case, bⁿ is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or simply "b to the nth."Several other properties of exponentiation follow directly from the basic fact stated above that, for any positive integer display style n, display style bⁿ is displayed style n occurrences of display style bb all multiplied by each other. More specifically:[tex]\begin{aligned}b^{n+m} &=\underbrace{b \times \cdots \times b}_{n+m \text { times }} \\&=\underbrace{b \times \cdots \times b}_{n \text { times }} \times \underbrace{b \times \cdots \times b}_{m \text { times }} \\&=b^n \times b^m\end{aligned}[/tex]
For example, the number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 2³) means: 2 x 2 x 2 = 8.Therefore, exponentiation is a mathematical operation denoted by the symbol bn that consists of two numbers, the base b, and the exponent or power n, and is pronounced as "b (raised) to the (power of) n."
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Given the graph below, determine the correct translation rule.
a. (x, y) → (x - 5 , y + 1)
b. (x, y) → (x + 1, y - 5)
c. (x, y) → (x - 1, y + 5)
d.(x, y) → (x + 5, y - 1)
please help
please hurry
Step-by-step explanation:
we have no continuous curve here, the supposed function only consists of a few data pair points. and that is absolutely ok.
any function just maps a set of x (input) values to a set of y (function result) values.
A.
yes, it is a function, because every "used" x value has exactly 1 assigned y value.
when we draw a vertical line and move it across the grid, there are never 2 or more of the points in the line. always only one.
the opposite (every y value has exactly 1 x value as origin) is NOT necessary to be a function. but it would have to be true for the inverse function to be a function too.
B.
the domain is the interval or set of all valid x values.
since we have only single points, it is a set here :
{-4, -3, -2, 0, 2, 3}
C.
the range is the interval or set of all valid y values :
{-3, -1, 0, 2, 3}
D.
as we can see on the chart, the only point with x value = 2 has the y value = -3.
so,
y = -3 when x = 2
or formally
f(2) = -3
If p=7 and q=1, what is 4pq squared + (-7)pq squared +5p?
14
Step-by-step explanation:
4pq² + (-7)pq² +5p
Evaluate for p=7,q=1
(4)(7)(1²)+((−7)(7))(1²)+(5)(7)
(4)(7)(1²)+((−7)(7))(1²)+(5)(7)
=14
8/5 minus 1/6 please help me lol
Question 20 (5 points) The Torre Company has the following stockholders' equity account balances in stockholders equity on December 31. Common Stock - $5 par, 60,000 shares issued 340,000 Paid-In Capital in Excess of Par-Common Stock 650,000 Preferred Stock - $100 par, 5,000 shares issued 590,000 Paid-In Capital in Excess of Par-Preferred 120,000 Retained Earnings 240,000 Treasury Stock (cost-$10 per share) 120,000 If net income for the year was $110,000 and a preferred stock dividend of $30,000 was paid, what was the beginning value of retained earnings?
According to the solving the beginning value of retained earnings:
= $1,60,000.
What is retained earnings?Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.
How do I figure up my retained earnings?To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).
According to the given data:Retained earnings, ending = $240,000.
Net income = $110,000.
Preferred stock dividend = $30,000.
Retained earning, beginning = ?
Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend
$240,000 = Retained earning, beginning + 110,000 - 30,000
Retained earning, beginning = 1,60,000
According to the solving the beginning value of retained earnings:
= $1,60,000.
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3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x+2, y-5)
The translated vertices of the rhombus are: K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7)
The rhombus is a parallelogram which has all sides equal. the diagonals of a rhombus bisect at right angles. the difference between a rhombus and a square is that none of the angles of a rhombus are 90°.
To translate a figure with given co-ordinates into another figure with a particular translation we simply add or subtract the given values from the coordinates of the available points.
Given co-ordinates of Rhombus are K(-3, 2),L(1, 4),M(-1 ,0)and N(-5, -2).
The translation is given as (x,y) → (x+2, y-5)
So we calculate the coordinates as:
The translated co-ordinate K(-3, 2)→ K'(-1,-3)
The translated co-ordinate L(1, 4)→ L'(3,-1)
The translated co-ordinate M(-1 ,0)→ M'(1,-5)
The translated co-ordinate N(-5, -2)→ N'(-3,-7)
Hence the co-ordinates of rhombus translated by (x,y) → (x+2, y-5) are K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7).
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