The translation rule that maps the preimage to the image is (x, y) ⇒ (x + 5, y + 1)
How to determine the translation rule of the transformationFrom the question, we have the following parameters that can be used in our computation:
Pre-image: L(-4,0), M(-2,0) and N(-3,-3)
Image: L'(1,1), M'(3,1) and N'(2,-2)
The translation rule is calculated as
(x, y) = L' - L
Substitute the known values in the above equation, so, we have the following representation
(x, y) ⇒ (x + 1 + 4, y + 1 - 0)
Evaluate
(x, y) ⇒ (x + 5, y + 1)
Hence, the translation is (x, y) ⇒ (x + 5, y + 1)
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Solve 5x + 3 = 10 in order
Answer:
5x+3y=10
subtract both sides by 5x
divide everything by 3
y= -5/3x +10/3
hopes this helps
log, (5x + 4) = 3x – 4
Answer:
X-4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Eva invested $500 in an account paying an interest rate of 4 5/8% compounded daily.
Amira invested $500 in an account paying an interest rate of 4 3/4% compounded
monthly. After 15 years, how much more money would Amira have in her account
than Eva, to the nearest dollar?
The total amount accrued of Eva principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 365 times per year over 15 years is $911.03.
The total amount accrued of Amira principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 12 times per year over 15 years is $910.15.
Compounded interest adds interest not only to your principle amount, but your accumulated interest over time.
To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest rate (decimal form), and t = time in years.
Eva invested $500 in an account paying an interest rate of 4 5/8% compounded daily.
A = $911.03
A = P + I where
P (principal) = $500.00
I (interest) = $411.03
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00(1 + 0.04/365)(365)(15)
A = 500.00(1 + 0.00010958904109589)(5475)
A = $911.03
Hence, The total amount accrued of Eva principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 365 times per year over 15 years is $911.03.
Amira invested $500 in an account paying an interest rate of 4 3/4% compounded monthly.
Given Principal (P) = $500
Interest rate (r) = 6%
Time (t) = 15 years
By taking compound interest formula:
\(A = P(1+\frac{r}{n} )^{\frac{n}{t} }\)
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
\(A = P(1+\frac{r}{n})^{\frac{n}{t} }\)
A = 500.00(1 + 0.04/12)(12)(15)
A = 500.00(1 + 0.0033333333333333)(180)
A = $910.15
Hence the answer is, The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 12 times per year over 15 years is $910.15.
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Answer:18
Step-by-step explanation:
Can I get some help please? ASAP
Solve for X. for both equations pleaseee
Answer:
\(9. \: \boxed{ \tt{x = 7}} \\10. \: \boxed{ \tt{x = 6}} \)
Step-by-step explanation:
\(quest \: 9 \to \\ \frac{5 + x}{32} = \frac{9}{33 - 9} \\ 24(5 + x) = (32)(9) \\ 5 + x = \frac{(32)(9)}{24} \\ 5 + x = 12 \\ x = 12 - 5 \\ \boxed{ x = 7} \\ \\ quest \: 10 \to \: \\ \frac{30 - (4x - 4)}{4x - 4} = \frac{18 - 12}{12} \\ \frac{34 - 4x}{4x - 4 } = \frac{6}{12} = \frac{1}{2} \\ 2(34 - 4x) = 4x - 4 \\ 68 - 8x = 4x - 4 \\ 68 + 4 = 4x + 8x \\ 72 = 12x \\ x = \frac{72}{12} = 6 \\ \boxed{x = 6}\)
x^2 + 6x +15=0 solve the equation using the quadratic formula
what is adding and subtracting rational expressions calculator ?
The Adding and Subtracting Rational Expression Calculator is a free online tool that displays the results of rational number arithmetic operations.
What is rational expression?A rational expression is nothing more than the product of two polynomials. In other words, it is a fraction with polynomial numerator and denominator. Rational expressions resemble fractions with variable denominators (and often numerators too).
Adding or subtracting rational expressions involves four steps: All fractions must be written as equivalent fractions with a common denominator. Combine the fractions to form a single fraction with a common denominator. Reduce the complexity of the expression at the top of the fraction. Reduce the fraction to its simplest terms.
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pls what’s the 2 choices??
help!!
Answer: the answer is the first one (-&,&), and the function is decreasing from (-&,&) hope this helps.
Step-by-step explanation:
i don't understand how to answer the question with the denominators value
When solving a problem involving fractions, it's important to understand the meaning of the numerator and denominator. The numerator represents the part of the whole that we are interested in, while the denominator represents the total number of equal parts that the whole is divided into.
Let's say we have a fraction 2/5. The denominator 5 indicates that the whole is divided into 5 equal parts, while the numerator 2 indicates that we are interested in 2 of those parts.
Therefore, the fraction 2/5 represents the ratio of 2 out of 5 equal parts of the whole.To answer a question involving fractions with a denominator of 200, you need to know that the whole is divided into 200 equal parts.
Then you can use the numerator to represent the specific part of the whole that is being referred to in the question.For example, let's say a question asks what is 1/4 of the whole when the denominator is 200.
We know that the whole is divided into 200 equal parts, so we can set up a proportion:1/4 = x/200To solve for x, we can cross-multiply:
4x = 1 x 2004x = 200x = 50
Therefore, 1/4 of the whole when the denominator is 200 is 50. In this way, you can approach any question involving fractions with a denominator of 200 or any other number by understanding the meaning of the numerator and denominator and setting up a proportion.
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Which property justifies rewriting 3x - 5x as (3 - 5)x ?
A. Distributive property
B. Commutative property of multiplication
C. Associative property of addition
D. Associative property of multiplication
Which of the following statements is FALSE?
A) All parallelograms are quadrilaterals.
B) All squares are rhombuses.
C) All rectangles are parallelograms.
D) All kites are rectangles.
Answer:
The false statement is D) All kites are rectangles.
A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.
Step-by-step explanation:
Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?
Answer:
$324
Step-by-step explanation:
Melissa sold 18 tickets.
Jona sold 1/2 * 18 = 9 tickets
Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets
Total number of tickets sold:
18 + 9 + 27 = 54
Total money from sales: 54 * $6 = $324
Help please !!!!!!!!
Answer:
yes
Step-by-step explanation:
yes, they are congruent for the AAS rule ( angle angle side)
in triangle ABC, what is m and B
A. 30°
B. 40°
C. 75°
D. 85°
Answer:
B. 40
Step-by-step explanation:
Angle C is linear with ACD, so the 2 angles = 180 degrees. 180 - 155 = 25.
All 3 angles need to add to 180, so 115 + 25 + angle B = 180
140 + angle B = 180, so angle B is 40 degrees.
Answer:
B) 40
Step-by-step explanation:
girl what the hell is this someone help
Answer:
1: 5
2: 1
3: -11
4: 0
5: 22
i need help plzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
Start box
180 = 89+42+x
180-89-42=x
49 = x
2nd box
180 = 84+58+x
180-84-58=x
38 = x
3rd box
180=74+2x
180-74=2x
106/2 = x
53 = x
4th box
180=102+2x
180-102=2x
78/2 = x
39 = x
4th box
180 = 73+81 +x
180-73-81=x
26 = x
5th box
180=2*54+x
180 - 2*54 = x
72 = x
6th box
180=62-2x
180-62=2x
118=2x
118/2=x
59 = x
7th box
180 = 2*68 + x
180-2*68=x
44 = x
2. Indicate whether each system of equations has no solution, one solution, or
an infinite number of solutions by placing an X in the appropriate column.
2x-3y=3 and -4x+6y= 6
3x-2y=3 and x + 2y = 5
-8x +12y = -12 and 2x-3y = 3
y = -x + 2 and y=3x-2
No
Solution
One
Solution
Infinite
Solutions
The solution of the system of linear equations determines if the system has no solution, one solution, or an infinite number of solutions
2·x - 3·y = 3 and -4·x + 6·y = 6
3·x - 2·y = 3 and x + 2·y = 5
-8·x + 12·y = -12 and 2·x - 3·y = 3
y = -x + 2 and y = 3·x - 2
What is a system of equations?A system of equations is a set of two or more equations that are formed by the same variable.
Each of the equations are solved as follows to determine whether it has no solution, one solution, or an infinite number of solutions
1. 2·x - 3·y = 3 and -4·x + 6·y = 6
Multiplying the first equation by 2, we get; 4·x - 6·y = 6.
Adding the above equation to the second equation,we get;
4·x - 6·y + (-4·x + 6·y) = 6 + 6 = 12
0 = 12 (False)
Therefore, the system has no solution
2. 3·x - 2·y = 3 and x + 2·y = 5
Adding the two equations, we get;
3·x - 2·y + (x + 2·y) = 3 + 5 = 8
4·x = 8
x = 8/4 = 2
Substituting x = 2 into the second equation, we get;
x + 2·y = 5
2 + 2·y = 5
2·y = 5 - 2 = 3
y = 3/2 = 1.5
y = 1.5
Therefore, the system has one solution
3. -8·x + 12·y = -12 and 2·x - 3·y = 3
Multiplying the second equation by 4, we get; 8·x - 12·y = 12
Adding the product of the second equation and 4 to the first equation we get;
8·x - 12·y + (-8·x + 12·y) = 12 + (-12) = 0
0 = 0
Therefore, the system has infinite number of solutions
4. y = -x + 2 and y = 3·x - 2
Substituting y = -x + 2 into the second equation, we get;
-x + 2 = 3·x - 2
3·x - 2 = -x + 2
3·x + x = 2 + 2 = 4
4·x = 4
x = 4/4 = 1
x = 1
y = -x + 2
y = -1 + 2 = 1
y = 1
Therefore, the system has one solution.
Therefore, the first system has no solution, the second system has one solution, the third system has an infinite number of solutions, and the fourth system has one solution.
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When was Stephen Hawkins born and where?
Answer:
January 8th 1942
Oxford, United Kingdom (UK)
Step-by-step explanation:
plz mark brainllist if this helped
Step-by-step explanation:
stephen Hawking was born on January 8, 1942 In oxford city of United kingdom
Evaluate The Indefinite Integral As A Power Series. Integral T/1 - T^5 Dt C + Sigma^Infinity_n = 0 What Is The Radius Of convergence R
Answer:.
Step-by-step explanation:
please help me
giving brainliest
Amanda owns a four -sided lot that lies between two parallel streets. If the lot is 43,000ft^(2) and has 100ft frontage on one street and 300ft frontage on the other, then how far apart are the streets?
The distance between the two parallel streets is 200 feet.
To find the distance between the two parallel streets, we can subtract the frontage of one street from the frontage of the other street. In this case, the frontage on one street is 100 feet and on the other street is 300 feet. Subtracting 100 from 300 gives us 200 feet, which is the distance between the streets.
To find the distance between the two parallel streets, we can subtract the frontage of one street from the frontage of the other street. In this case, the frontage on one street is 100 feet and on the other street is 300 feet. Subtracting 100 from 300 gives us 200 feet, which is the distance between the streets.
This means that the two parallel streets are 200 feet apart. The four-sided lot owned by Amanda lies between these two streets, and it has a total area of 43,000 square feet.
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PLEASE HELP GIVING BRAINLIEST!!!
If ABCD is a parallelogram, m
Equation =
X =
Answer:
opposite sides of parallelogram are parellel.
so, angle A and angle D are co interior angle.
(3x+4)°+x°=180°
4x+4=180°
4x=180°- 4
4x=176°
x=176°/4
x = 44°
(3x+4)
=3×44+4
=136°
What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP
Step-by-step explanation:
A=½bh
A=½(4•3)
A=½(12)
A=6 units sq
substitution to determine if 19 was a solution to the equation
Answer:
Step-by-step explanation:
if your question is
"Choose the student who correctly used substitution to determine if 19 was a solution to the equation. 6 + m = 24. 6 + 19 = 24. 24 = 24. 19 is a solution. 6 + m = 24. 6 + 19 = 24. 25 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 24 = 24. 30 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 19 = 24. 25 = 24. 19 is a solution."
then juan is correct
Sheri's brother gave Sam his collection of stamps when she left for collage. At that time, the value of the collection was $ 420. Eight years later, the stamp collection was worth $980. What is the rate of change?
Answer:
$70 / year
Step-by-step explanation:
Take the difference in the value
980-420 = 560
Divide by the number of years
8
560/8 = 70
The rate of change is 70 / year
Answer:
2.33 or 23% increase
Step-by-step explanation:
When we divide 980 by 420, the rate of change is 2.33... or 23% increase.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
\((14x + 4) + (5x - 1) + (2x + 9 ) = 180\)
\(14x+4+5x-1+2x+9=180\)
\(14x+5x+2x+4-1+9=180\)
\(21x+12=180\)
\(21x=180-12\)
\(21x=168\)
\(\frac{21x}{21}= \frac{168}{21}\)
\(x=8\)
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°
Solve for x in the equation x squared minus 12 x + 59 = 0.
Answer:
4 11/12
Step-by-step explanation:
x2−4x−12<0
x2+10x−24<0
x−1=2y
x=−5912
Decimal Form:
x=−4.91¯6
Mixed Number Form:
x=−4 11/12
Answer:
There is no solution to this.
Step-by-step explanation:
Maybe check for a typo?
you would first need to calculate the discriminant, D= b^2-4 a c
D= (-12)^2 -4*1*59
Simplify
D=-92
Since D<0, the quadratic equation has no real solutions.
Calculus Work:
8x^3 + 10x^2 - 15x divided by 2x + 1 in the format of q(x) + r(x)/b(x)
Answer:
8x³ + 10x² - 15x ÷ 2x + 1 = 8x³ + 10x² - 15/2 + 1 = 8x³ + 10x² - 6 1/2
Follow me and hope it helpsSolve the following pair of equations for the vectors u and v. Assume i = (1,0) and j = (0;1).
the solution to the pair of equations is u = (1,1) and v = (1,0).
u + 3v = (2,1)
3u + v = (3,2)
u = (1,1) and v = (1,0)
The first equation can be written as:
u + 3v = (2,1)
We can rewrite this equation as:
u + 3(1,0) = (2,1)
By substituting the values of i and j, we can solve for u:
u + (3,0) = (2,1)
u = (2-3,1) = (-1,1)
Now, we can substitute the value of u in the second equation:
(1,1) + v = (3,2)
By subtracting (11) on both sides, we can solve for v:
v = (3-1,2-1) = (2,1)
Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).
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if two lines begin parallel but later diverge, the geometry is
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
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Please help meeeeee thanksss
Answer:
Step-by-step explanation:
it's 3 hmmm it tells you rise over run.. just about where they are asking for the answer.. what do you not get about the question?