Answers
You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'
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In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.
For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.
Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.
Related Questions
13 million
in scientific notation
Answers
Write the expression -3x ^2 + 2y ^2 + 5xy - 2y + 5x ^2 - 3y ^2 in simplest form.
How many terms are in the simplified expression?
How many of the terms in the simplified expression are negative?
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[tex]-3x^2+2y^2+5xy-2y+5x^2-3y^2[/tex]
Combine like terms:
[tex]2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy[/tex]
There are 4 terms, 2 terms are negative.
HELP PLEASE If L is the line through the point (-3,5) having a slope of 2/3 . Complete the equation of L
Y =
A.(2/3)x + 7
B. (2/3)x + (47/9)
C. (2/3)x - (1/3)
aND explain briefly pls
Answers
point slope form (y-y1) = m(x-x1)
y-5=(2/3)(x-(-3))
y-5=(2/3)(x+3) add 5 to each side and distribute
y= 2/3x +2/3 *3 +5
y = (2/3)x +2 +5
y = (2/3) + 7
a manufacturer keeps track of her monthly costs by using a cost function this assigns a total cost for a given number of manufactured items X the function is C(x)=5,000 + 1.3x
what is the reasonable domain of this function what is the cost of 2,000 items that the cost must be kept below 10,000 this month what is the greatest number of items she can manufacturer need these answers ASAP please help
Answers
Answer:
a)Domain is all positive integers.
b)C(2000)=$7600
c) For C(x)<10000, less than 3846 items should be manufactured.
Step-by-step explanation:
Given that cost function is C(x)=5000+1.3x, where x is the number of manufactured items.
a) The domain of C(x) means the range of values x can take. Since x is the number of manufactured items, it cannot be negative and fraction.
Hence domain is all positive integers.
b)To find the cost of 2000 items, we should plugin x=2000 in C(x).
That is cost of 2000 items, C(2000)=5000+1.3(2000)=5000+2600=$7600
c) We are asked to find the number of items such that cost is kept below 10,000 that is C(x)<10000
5000+1.3x<10000
Subtract 5000 from both sides
1.3x<5000
Divide with 1.3 on both sides
[tex]x<\frac{5000}{1.3}[/tex]
x<3846.2
Hence number of items must be less than 3846 for C(x)<10000
Final answer:
The reasonable domain of the cost function is x >= 0. The cost of 2,000 items that must be kept below $10,000 is $7,600. The greatest number of items that can be manufactured with a cost below $10,000 is 3,846 (rounded down).
Explanation:
The reasonable domain of the cost function is x >= 0 since the number of items manufactured cannot be negative. In other words, the function is valid for all non-negative values of x.
To find the cost of 2,000 items that must be kept below $10,000, we substitute x = 2,000 into the cost function:
C(2,000) = 5,000 + 1.3 × 2,000
Simplifying this equation, we get:
C(2,000) = 5,000 + 2,600 = $7,600
To determine the greatest number of items that can be manufactured with a cost below $10,000, we need to solve the inequality:
5,000 + 1.3x < 10,000
Simplifying this inequality, we have:
1.3x < 5,000
Dividing both sides of the inequality by 1.3, we obtain:
x < 3,846.15
The greatest number of items that can be manufactured with a cost below $10,000 is 3,846 (rounded down).
pls help me pls i beg u pls help me
Answers
I believe the answer is b
Answer:
i think its B but im not 100%
Step-by-step explanation:
What is 119.63 rounded to the nearest whole number ?
Answers
120
bc its grater than four in this case forty
A whole number is NOT a decimal so to answer this, look to the number in the tenths place because it is next to the number you are rounding off to in the ones place and determine whether or not it is less than five. If it is less than five, the number in the ones place remains the same; if it is greater than or equal to five, it goes up. In this case, 6>5, so you round up.
Since the number in the ones place is 9, it becomes a zero and the number in the tens place becomes a 2 so you are one number higher than 119. The final answer is 120.
Divide (5.6 x 1015) by (6.4 x 102). Express your answer in scientific notation.
A) .875 x 1017
B) .875 x 1013
C) 8.75 x 1012
D) 8.75 x 1013
Answers
5.6 * 10^ 15 / 6.4 * 10^2
5.6 /6.4 10^ (15-2)
.875 * 10^13 this is not proper scientific notation there must be 1 number before the decimal
8.75 * 10^12
C
Answer:
Step-by-step explanation:
THE ANSWER IS C. I DID IT
Find the equation of the line that is parallel y=3x-2 and contains the point (2,11).
Answers
Since it is Parnell the leading coefficient wont change. so all you have to do is get it to match the point.
the way you will do this is by replacing x with the graph x and y with graph y and solving
11=3(2)+a
11=6+a
11-6=a
5=a
that would make the answer be y=3x+5
The equation of the line parallel to y=3x-2 and containing the point (2,11) is y=3x+5.
Explanation:The equation of a line that is parallel to y=3x-2 will have the same slope as this line. Since the slope of the given line is 3, the parallel line will also have a slope of 3. The equation of a line can be represented in the form y=mx+b, where m is the slope and b is the y-intercept. We can find the equation of the parallel line by substituting the given point (2,11) into the equation.
Start with the equation y=3x+b and substitute x=2 and y=11.
11=3(2)+b
Now solve for b.
11=6+b
b=11-6
b=5
The equation of the parallel line is therefore y=3x+5.
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I need help someone
Answers
15 divided into 6396 show the steps on how to solve I know the answer is 42 just don’t know the step to put in order
Answers
Therefore, 6396/15 = 426.5
A manufacturing company has the following fixed monthly costs and unit variable costs: Rent = $2,200 Utilities = $375 Variable costs for materials and assembly = $13.25/unit Monthly labor = $750 If its product sells for $24.99 per unit, how many units must it sell in a month to break even? Round your answer to the nearest whole number.
Answers
A manufacturing company has the following fixed monthly costs and unit variable costs:
Rent = $2,200
Utilities = $375
Variable costs for materials and assembly = $13.25/unit
Monthly labor = $750
Given is the product is sold at $24.99 per unit
Let the number of units sold be x
Adding total cost = [tex]2200+375+750=3325[/tex]
Equation becomes:
[tex]3325+13.25x=24.99x[/tex]
[tex]11.74x=3325[/tex]
x= 283.21
So, rounding it to nearest whole number we get, 283 units.
the table shows a power of exponents.
powers of 5 value
5^3 125
5^2 25
5^1 5
5^0 1
5^-1 1/5
5^-2 1/25
A. subtract 5 from the previous value
B. subtract 100 from the previous value
C. divide the previous value by 5
D. divide the previous value by 25
Answers
Answer:
c
Step-by-step explanation:
Tara bought 4 souvenirs during 2 days of vacation. After 8 days of vacation, how many total souvenirs will Tara have bought? Solve using unit rates
Answers
The rate is 2 souvenirs a day because 4 souvenirs / 2 days = 2 souvenirs/ 1 day. Then it's 2 (the rate) x 8 (# of days) to give you the total which is 16!
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?
Answers
Answer:
40
Step-by-step explanation:
Got it on edge
How do you factor this?
Answers
Step 1. Split the second term in 2x^2 - x - 21 into two terms
2x^2 + 6x - 7x - 21
Step 2. Factor out the common terms in the first two terms, then in the last two terms.
2x(x + 3) -7(x + 3)
Step 3. Factor out the common term x + 3
(x + 3)(2x - 7)
Lainey bought a set of 20 markers for $6 what is the cost of one market
Answers
since you know Lainey has 20 markers and the total cost is $6, all you have to do is solve 20/6 to find the cost of each marker. So, the answer would be about $2.33 dollars, since 20/6 would equal $2.333333333... and I just rounded it up. Hope I helped you! Good luck (:
Write an inequality that represents eight less than three times a number is more than 22
Answers
Answer:
3n - 8 > 22
Step-by-step explanation:
Let the number be n. Then "eight less than three times the number" is represented by 3n - 8 > 22.
Answer:
i need help too yall
Step-by-step explanation:
What is X-3(2x-7)=76
Answers
Simplifying
x + -3(2x + -7) = 76
Reorder the terms:
x + -3(-7 + 2x) = 76
x + (-7 * -3 + 2x * -3) = 76
x + (21 + -6x) = 76
Reorder the terms:
21 + x + -6x = 76
Combine like terms: x + -6x = -5x
21 + -5x = 76
Solving
21 + -5x = 76
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -5x = 76 + -21
Combine like terms: 21 + -21 = 0
0 + -5x = 76 + -21
-5x = 76 + -21
Combine like terms: 76 + -21 = 55
-5x = 55
Divide each side by '-5'.
x = -11
Simplifying
x = -11
The solution of expression is, x = - 11
We have to give that,
An expression to simplify,
x - 3 (2x - 7) = 76
Now, Simplify the expression as,
x - 3 (2x - 7) = 76
x - 6x + 21 = 76
- 5x = 76 - 21
- 5x = 55
x = - 55/5
x = - 11
Therefore, Solution is, x = - 11
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what is 965,000,000,000,000 in scientific notation
Answers
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9.
So, if we are dealing with 965000000000000, then the answer would be:
9.65 x 10^14
16=-12-7x
what is x
please show steps
Answers
Answer:
Step-by-step explanation:
Simplifying
16 = -12 + -7x
Solving
16 = -12 + -7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7x' to each side of the equation.
16 + 7x = -12 + -7x + 7x
Combine like terms: -7x + 7x = 0
16 + 7x = -12 + 0
16 + 7x = -12
Add '-16' to each side of the equation.
16 + -16 + 7x = -12 + -16
Combine like terms: 16 + -16 = 0
0 + 7x = -12 + -16
7x = -12 + -16
Combine like terms: -12 + -16 = -28
7x = -28
Divide each side by '7'.
x = -4
Simplifying
x = -4
How can you split 112 so you can divide it by seven
Answers
well, 112 divided by 7 is 16 :)
you dont need to split it because 112 can already be divided by 7, youre answer sould be 16. I hope this helps!!!
How many 1/3 can go into 8/10
Answers
Answer:
2/3
Step-by-step explanation:
8/10 is 0.800, and 1/3 is 0.333333333337, so without going over 1 but saying below 0.800 would be 2/3 or 0.66666666667
1/3= 0.333
8/10=0.8
so 2 1/3 can go into 8/10
What do you do if you have a net gain
Answers
A net gain is an increase in the amount of money in your bank account or wallet total.
Which of the following statements is always true for all values of a
A) -a = a
B) |a| = -a
C) |a| = a
D) -(-a) = a
Answers
D) -(-a) = a because -(-a) is the same thing as positive a
The clean up hitter on a baseball tean batted 1/4 of the runs the team scored. The hitter batted in 5 runs. Select the equation that represents the number of n of runs the team scored. Then solve the equation:
A.1/4n=5
B.n/4=1/4
C.5n=1/4
D.5n=4
Answers
Answer:
A. [tex]\frac{1}{4}n=5[/tex]
The solution is: n=20
Step-by-step explanation:
1. You have the following information given in the problem above:
- The hitter batted [tex]\frac{1}{4}[/tex] of the runs the team scored.
- The hitter batted in 5 runs.
2. If [tex]n[/tex] is the number of run the team scored, then [tex]\frac{1}{4}[/tex] of [tex]n[/tex] must be equal to five runs batted by the hitter. Therefore, the equation is:
[tex]\frac{1}{4}n=5[/tex]
3. Solve for [tex]n[/tex], as following:
[tex]\frac{1}{4}n=5\\n=(5)(4)\\n=20[/tex]
X-6y+2z=5
2x-3y+z=4
3x+4y-z=-2
Solve the system by elimination
Answers
Final answer:
To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. The solution to the system of equations is x = 1, y = 2, z = 3.
Explanation:
To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. Here are the steps:
Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x in both equations the same.Subtract the second equation from the first equation to eliminate x.Add the resulting equation to the third equation to eliminate x again.Now we have two equations with only y and z variables. Multiply the second equation by -2 to make the coefficients of y in both equations the same.Add the second equation to the third equation to eliminate y.Now we have a equation with only z variable. Solve this equation to find the value of z.Substitute the value of z into one of the previously eliminated equations to find the value of y.Substitute the values of y and z into any of the original equations to find the value of x.Therefore, the solution to the system of equations is x = 1, y = 2, z = 3.
To solve the given system of equations by elimination, eliminate one variable at a time. Solve the new set of equations simultaneously to find the values of the remaining variables.
Explanation:To solve the given system of equations by elimination, we'll eliminate one variable at a time. First, let's eliminate the variable 'z' by adding the second equation to the third equation. This gives us a new third equation:
2x - 3y + z = 4
+ 3x + 4y - z = -2
------------------
5x + y = 2
Now, let's eliminate the variable 'y' by multiplying the second equation by -6 and adding it to the first equation. This gives us a new first equation:
X - 6y + 2z = 5
- 6(2x - 3y + z) = -6(4)
------------------------
-11x - 11z = -19
Finally, we can solve these two new equations simultaneously to find the values of 'x' and 'z'. Once we have 'x' and 'z', we can substitute these values back into any of the original equations to find the value of 'y'.
A book club charges a membership fee of $20 and then $12 for each book purchased. Write a function to represent the change, y, of membership in the club based on the number of books purchased, x.
Answers
You start with 20 as the y-intercept because that is the starting amount that you paid. The constant rate of change is 12 dollars per book. So, 12 time however many books written as 12x. Hope that helps! :)
What is the algebraic expression .Three more then the sum of a number and four ?
Answers
Mrs. whimsey's class is having a pizza party . If there are 16 student and 4 pizzas cut into 8 slices , what answer choice represents the function of one pizza each student receives
Answers
Final answer:
Each student will receive 2 slices of pizza, as there are a total of 32 slices from 4 pizzas divided among 16 students.
Explanation:
To determine the number of pizza slices each student receives, we need to calculate the total number of slices available and then divide this by the number of students. Given that there are 4 pizzas and each pizza is cut into 8 slices, we have:
Multiply the number of pizzas by the number of slices per pizza: 4 pizzas × 8 slices/pizza = 32 slices.
Divide the total number of slices by the number of students: 32 slices ÷ 16 students = 2 slices/student.
Therefore, the function that represents the number of pizza slices each student receives is 2 slices per student.
What is 495/220 in simplest form
Answers
495/220 can be simplified to 9/4 by dividing the numerator and denominator by 55
the answer to what is 495/220 in simplest form is 9/4