Triangle ABC is dilated with a center at the origin and a scale factor of 2. What are the coordinates of triangle A’B’C’?
Answers
The coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).
Given that, triangle ABC is dilated with a center at the origin and a scale factor of 2.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
From the given graph, A(-2,2), B(1, 3) and C(-1, 0)
By using a scale factor of 2, we get
A(-2,2)→2(-2, 2)=A'(-4, 4)
B(1, 3)→2(1, 3)=B'(2, 6)
C(-1, 0)→2(-1, 0)=C'(-2, 0)
Therefore, the coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).
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Related Questions
Suppose point J has coordinate of -2 and JK=4. Then what is the possible coordinate(s) for K? 4 2 or -4 -4 2 or -6
Answers
Given that point J is at -2 and the distance between J and K is 4, the possible coordinates for K are -6 (if you count 4 steps to the left) or 2 (if counted to the right on the number line).
Explanation:The given information tells us that point J has a coordinate of -2 and the distance JK equals 4. In a number line, distances can be counted to the left (negative direction) or to the right (positive direction). Therefore, point J will be 4 points to the left or right of, which means the coordinates for K could be -2-4 = -6 or -2+4 = 2.
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help I will fail math class please help doors for the small cabinets are 11.5 inches long . doors for the large cabinet are 2.3 time as long as the door for a small cabinet . how many larger door can be cut for a board that is 10 1/2 feet long
Answers
large door size / 12 = large door size in feet
large door size in feet / 10 = how many large doors can be cut from the board. (you have to round it down if there's a decimal- no 1/2 doors.)
A 1-ounce serving of cream cheese contains 7.3 grams of saturated fat. How much saturated is in 11 ounces of cream cheese
Answers
7.3×11= 80.3 grams of saturated fat.
Write an equation of a line that is perpendicular to y = ½ x + 3 and passes through the point (10, -5).
Question 4 options:
y = 2x – 15
y = - 2x + 15
y= -2x – 5
y = -1/2 x
Answers
Describe a real-world situation that could be modeled by the binding two rational numbers
Answers
Rox wants to buy only 5 apples, how much will they cost her?
Cost of 30 green apples is €60.
Cost of 1 green apple = €60/30 = €2
(Using the concept of division of rational numbers)
Now, cost for 5 green apples =5 * €2 = €10
Margaret uses 1 3/4 teaspoons of vanilla to make 12 cupcakes. She to wants make 30 cupcakes. how much vanilla will Margaret use?
Answers
hope that helps you
80 X 5,000
( blank tens) X (blank thousands) = 40 thousands, thousanths, tens, tenths, hundreds, hundrenths, or ones?
Also 80 x 5,000
Answers
There are 16 tables in the school lunch room each table can seat 22 students. How many students can be seated at lunch at one time?
Answers
How do you solve this 4x - 2x -20x + x
Answers
First, do 4x-2x which would equal 2x-20x+x.
Now, what's 2-20?
-18
So, it's -18x+x.
-18x+x
=-17x
Hope this helps.
Answer:
The value of the expression is [tex]-17x[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]4x - 2x -20x + x[/tex]
To solve the above expression we need to add the like terms as shown.
[tex]4x+x - 2x -20x[/tex]
[tex]5x - 22x[/tex]
[tex]-17x[/tex]
Hence, the value of the expression is [tex]-17x[/tex].
The difference between twice a number and 11 is -23
Answers
2x-11=-23
then you have to combine like terms then after that divide by x to get
x=-6
What is the perimeter of triangle PQR? Show your work.
Answers
According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.
3y-2=y+4
3y=y+6
2y=6
y=3
3(3)-2=9-2=7
7+4+6=17
The perimeter is 17 feet.
Hope this helps!
Answer:
PQR= 17 ft
Step-by-step explanation:
1. PQ ≅ ST = 4 ft (Given)
2. ∠PQR ≅ ∠STU (Given)
3. QR ≅ TU = 6 ft (Given)
Which makes the two triangles congruent by SAS postulate.
Now, from CPCTE, PR = SU
3y-2=y+4
Solve for y and simplify
Subtract Y from both sides.
Add 2 to both sides
3y-y=4+2
Add
2y=6
Divide both sides by 2
Y=3
Now, side PR is given by plugging in 3 for Y. PR = 3(3) - 2 = 9 - 2 = 7 ft. The perimeter of a triangle PQR is the sum of all of its sides. Perimeter = PQ + QR + PR = (4 + 6 + 7) ft = 17 ft. The perimeter of triangle PQR is 17 ft.
What is the score if total question is 85 and correct is 68?
Answers
So, 85 ÷ 100 ≈ 1.18
1.18 x 68 ≈ 80
So, the score was 80%.
I don’t think i have the right answer so I’m checking it to make sure
Answers
At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza? Justify your answer by using an algebraic equation to solve this problem step by step
Answers
Answer:
5 toppings.
Step-by-step explanation:
Let there were x toppings on the exponential pizza ordered by Connor.
Then charges for toppings = $2.35x
If the cheese pizza costs = $17.50
Total charges for the pizza = (17.5 + 2.35x)
Total cost of the cheese pizza with toppings = $29.25
Equation to find the number of toppings will be
29.25 = 17.5 + 2.35x
2.35x = 29.25 - 17.5
2.35x = 11.75
x = [tex]\frac{11.75}{2.35}[/tex]
x = 5
Therefore, number of toppings on the pizza will be 5.
Helpppppp please don’t have to explain or write a long paragraph just help me out and give me an answer pleaseeeee fasttttttt
Answers
Top left: The difference in y is always 2 even though hte difference in x is not.
Not a linear function.
Bottom left: Difference in x is always 1, but difference in y is 2 or 3. Not a linear function.
Top right: Difference in x is always 2. Difference in y is always 2. This is a linear function.
Bottom right: Difference in x is always 2, but difference in y is 2 or 3. Not a linear function.
What is the slope of the line graph?
Enter your answer in the box
Answers
slope = (6 - 2)/(-6 -6)
= 4/-12
= -1/3
answer
slope = -1/3
Answer: The slope of the line is [tex]-\frac{1}{3}[/tex].
Explanation:
From the given graph it is noticed that the line passing through many points.
The coordinates of three given points are (-6,6), (0,4) and (6,2).
If a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of the lie is defined by,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through two points (0,4) and (6,2). So the slope of the line is,
[tex]m=\frac{2-4}{6-0}[/tex]
[tex]m=\frac{-2}{6}[/tex]
[tex]m=-\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex].
three pizza are shared equally among eight people. how much does each person get?
Answers
The answer should be 3/8 or 0.375
How many times can 27 go into 192
Answers
In a survey 11 people was asked if there should be more school days of theese 6 people agreed yes. What percent of particpanits agreed with the proposal?
Answers
6 = 54.55% of 11.
So, 54.55% of the participants agreed with the proposal.
Is -b always, never, or sometimes a positive number?
*urgent!*
Answers
Which situation is represented by the inequality? 3x + 5 > 2x + 15
Answers
Final answer:
The inequality 3x + 5 > 2x + 15 represents a situation in which x is greater than 10.
Explanation:
The inequality 3x + 5 > 2x + 15 represents a situation in which one side of the equation is greater than the other. To solve this inequality, we need to isolate x on one side of the equation. Here are the steps:
Subtract 2x from both sides of the equation: 3x + 5 - 2x > 2x + 15 - 2xSimplify both sides of the equation: x + 5 > 15Subtract 5 from both sides of the equation: x + 5 - 5 > 15 - 5Simplify both sides of the equation: x > 10So, the inequality 3x + 5 > 2x + 15 represents a situation in which x is greater than 10.
whats the definition of a circle?
Answers
A circle is a round plane figure what's boundary is made of points from the center..
Hope this helps! ☺♥
Answer:
I think the answer is:
a circle is the set of all points in a plane that are the same distance from a fixed point called the center.
a bag of concrate can be used to make a 5ft by 7ft porch.if you want to make a 20ft by 28ft,porch. how many bags of concreate do you need? the answer is not 4
Answers
5x7= 35sqft
20x28= 560sqft
If 1 bag makes 35sqft, 560sqft is how many bags;
This is how I write the equation;
1x bag 35sqft
X 560sqft
Solution: (560x1) : 35 = 16bags
I solved this based on my way of logic. I'd appreciate if you let me know if the answer is correct.
area of 5 x 7 porch = 5*7 = 35 sq. ft.
area of 20 x 28 porch = 20 *28 = 560 sq. ft.
560 / 35 = 16
so 16 bags are needed
Determine the x- and y-intercepts of the graph of y=− 1 2 x−4 .
Answers
Y int= (0,-4)
-12x=4
x=4/-12 =- 1/3 point (-1/3,0)
y=-12 (0)-4
= -4 (0,-4)
Explain how the order of operations determines how you simplify a numeric expression.
Answers
How to solve a system of equations using elimination
Answers
To solve a system of equations by addition, also called elimination, the goal is to cancel out one of the variables by adding the equations together. However, in some cases, you will need to multiply one or both of the equations by a number in order to create a scenario where one of the variables will cancel out when the equations are added together. As long as you cancel a variable out, you will be able to add the equations together and solve for the variable. If you find one variable, you can find the other one easily.
You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz. Which quiz has a higher percent of correct anwsers?
Answers
The quiz with a miss of 3 questions out of 15 has the higher percentage.
As mentioned in the question,
You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Percentage of correct answer in 1st quiz = 100% - 3/10 × 100% = 70%
Percentage of correct answer in 2nd quiz = 100% - 4/15 × 100% = 77%
The percentage of 2nd quiz is greater than 1st quiz.
Thus, the quiz with a miss of 3 questions out of 15 has the higher percentage.
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Which of the following best describes the algebraic expression 5(x+2) -3
Answers
Three less than five times the sum of a number and two
Answer:
Step-by-step explanation:
given that,
Algebraic expression 5(x+2) -3
the best way to describe the number is that :-
The number is three less than the five times of the quantity of the number plus two.
when you see the quantity it refers to 'x+2'.
this is , the most appropriate representation of the algebraic expression.
Shalika bought a purse for $120. The tax rate is 9%.
What is the total amount Shalika paid?
Answers
the cross multiply to get:
100x = 1080
divide I080 by 100 to get 10.8
Finally add a 10.8 to 120 ( the original amount) to get $130.80
I need help with number 24. It says is it possible that Lauren answered more questions correctly on the second math test than Antoine did? Explain.
Answers
Calculating the probability of getting more than 75% of answers right with random guessing is unlikely to yield a count higher than 24 correct answers. Therefore it is improbable for Lauren to have answered more questions correctly than Antoine. However, without specific data on Lauren's and Antoine's test results, we cannot say with absolute certainty.
Explanation:To ascertain if Lauren could have answered more questions correctly on her second math test than Antoine, we need to understand the concept of probability. In this case, we want to find P(x > 24) which means we want to find out if getting more than 75 percent (or more than 24 correct answers) out of 32 questions is possible. That is, did Lauren score more than 24? However, the probability of getting more than 75 percent of the 32 questions correct when randomly guessing is practically zero. Mathematically, we express this as P(x > 24) = 0.
This suggests obtaining a score higher than 24 is very difficult, and therefore it's unlikely that Lauren answered more questions correctly than Antoine, especially if answering was based on random guessing. However, without specifics about Lauren's or Antoine's performance, we can't say definitively.
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