Question 3 of 5
What are the vertices of triangle ABC'if triangle ABC is dilated by a scale factor of 2?
Answers
be because they are just divided by 2 than the actual coordinates
The vertices of triangle ABC' are A' (0, 20), B' (8,12), and C' ( 4, 4) if triangle ABC is dilated by a scale factor of 2.
How does dilation affect length, area, and volume of an object?Suppose a figure (pre-image) is dilated (dilated image) by a scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by the square of the scale factor.
Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So the area of the first figure = k² × area of the second figure
The vertices of triangle ABC are
A (0, 10) , B (8 ,6), C ( 4, 2)
The vertices of triangle ABC' if triangle ABC is dilated by a scale factor of 2.
k = 2
L = k × M
L = 2 × 10 = 20
B = 2 × 6 = 12
W = 2 × 2 = 4
Hence, The vertices of triangle ABC' are A' (0, 20), B' (8,12), and C' ( 4, 4).
Learn more about dilation here:
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Related Questions
Omar says that 4a times 4a will get 16a. Explain his mistake.
Answers
Answer:
You have to multiply be A before each other
Step-by-step explanation:
Find the slope and the y-intercept of the graph of the linear equation y=5/4x-7. The slope is ?, and the y-intercept is ?.
Answers
Answer:
Not Linear.
Step-by-step explanation:
Answer:
5/4 slope
-7 y intercept.
Step-by-step explanation:
The slope is the number in front of the x. The number in front of the x is 5/4. The slope is 5/4
1. The y intercept is whatever is behind the x or 0 if there is no number following the x.
2. The y intercept is also characterized by being on the same side of the equation as the x.
3. Finally it has no x in it.
In this case the y intercept is -7
Examples
y + 2 = x 2 is not the y intercept. subtract 2 from both sides. y = x - 2. Therefore -2 is the y intercept.
2y = 4x + 6 4 is not the slope. You have to divide by y = 2x+3. So 2 is the slope and 0,3 is the y intercept.
Carrie usa 6 limones para hacer 24 onzas líquidas de limonada. Carrie está planeando una gran fiesta y necesita hacer 288 onzas líquidas de limonada. ¿Cuántos limones necesitará usar para mantener la receta proporcional?
Answers
Answer:
72 lemons
Step-by-step explanation:
Carrie uses 6 lemons to make 24 fluid ounces of lemonade. Carrie is planning a big party and needs to make 288 fluid ounces of lemonade. How many lemons will she need to use to keep the recipe proportional?
Hence:.
24 fluid ounces = 6 lemons
288 fluid ounces = x lemons
24 x = 288 × 6
x = 288 × 6/24
x = 72 lemons
Given L(-4, 3) and M(-7, -2), what is the length of segment LM?
Answers
Answer:
[tex]d = \sqrt{34}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point L (-4, 3)
Point M (-7, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-7+4)^2+(-2-3)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(-3)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{9+25}[/tex]Add: [tex]d = \sqrt{34}[/tex]I need help with this question asap please
Answers
Answer:
62
Step-by-step explanation:
(82-2)-2× 3^7 ÷ 3^3
___________
3^2
80 - 2 × 3^4
_________
3^2
80 - 2 × 3^2
80 - 2 × 9
80 - 18
62
What is the slope of the line that passes through (12, 10) and (11, 15)?
Answers
(15-10)/(11-12) = 5/-1 = -5
The slope is -5
Answer:
slope = -5
Step-by-step explanation:
Trust me I made a graph
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answers
Answer:
Answer:
The two numbers are 8 and 5
Explanation:
8 - 5 = 3
8 + 5 = 13
Hope this helps!
I need help with this
Answers
Answer: 0.6 grams
Step-by-step explanation: divide grams by cm and its 0.6
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
- 0.51x + 0.21x = 6.3
x = 6.3
Answers
Answer:
Step-by-step explanation:
-0.51x+0.21x=6.3 combine like terms
-0.3x=6.3 divide by -0.3
x= -21
helppp me plssss because it’s a test
Answers
Answer:
3
Step-by-step explanation:
The ratio of boys to girls in Mr. Woods class is 5:7.
If there are 60 students in all, how many are boys?
Answers
Answer:
25
Step-by-step explanation:
5+7 is 12, 60 divided by 12 is 5. 5x5 is 25
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
5
3
x + 8 that passes through (5, −1).
The equation of the line that passes through (5, −1) is y = .
Answers
Answer:
25
Step-by-step explanation: this is because you have a negative
What expressions are equivalent to 6.7 - (-2.5)
Answers
Answer:
[tex]6.7-\left(-2.5\right)=9.2[/tex]
Step-by-step explanation:
Given the expression
[tex]6.7-\left(-2.5\right)[/tex]
Solving the expression to get the equivalent function
[tex]6.7-\left(-2.5\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=6.7+2.5[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:6.7+2.5=9.2[/tex]
[tex]=9.2[/tex]
Thus,
[tex]6.7-\left(-2.5\right)=9.2[/tex]
How many solutions does the following function have? f(x)=4x^2-100
Answers
Answer: x = 5, -5
Step-by-step explanation:
Solve using the quadratic formula.
P(-6, 4), O-2, 7), R(-1, 0), S(-5, -3)
Please help ASAP
Answers
What is the slope and y-intercept of the equation 6x + 2y = 14
I
Answers
y-intercept: (0,7)
Evaluate, if x = -12, y = -4, and
z is = 9
Answers
Help!! I’ll mark you brainliest!!!!!
Doors for the small cabinets are 18.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that said 10 feet long?
Answers
Can someone please help
Answers
Answer:
2x+7
Step-by-step explanation:
F(x+3)=2(x+3)+1
F(x+3)= 2x+6 +1 =2x+7
Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?
Answers
Answer:
No solutions
Step-by-step explanation:
So putting that into an equation it equals
2k+8=(4k+14)÷2
Move the 2 to the other side.
2∙2k+8=4k+14
Simplify.
4k+8=4k+14
It doesn't make sense so No Solutions
SHOW WORK PLZZZZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
(x+1)(x+5)(5x−1)
x= 1/5, -5, -1
Step-by-step explanation:
5x^3+29x^2+19x-5
factor
(x+1)(x+5)(5x−1)
the zeros are
x+1=0
x=-1
x+5=0
x=-5
5x-1=0
5x=1
x=1/5
maybe this helps
Helppppppppppppp please
Answers
Answer:
J.)
Step-by-step explanation:
if you make there width to their length a ratio - like for the top you would do 8/2 - then the bottom is different. They all simplify to 4/1 except the bottom.
12/3 = 4/1
2/.5 = 4/1
10/2.5 = 4/1
10/4 = 5/2
Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP
Answers
the square root of 14, the square root of 54/3, 6.8, the square root of 26/3.
ANSWER ASAP FOR BRAINLIEST
Answers
Answer:
I CANT SEE THE IMAGE BUT I NEEED POINTS xD
Step-by-step explanation:
PERIODDDDDDDDD
Answer:
Laptops, 82 is the largest number when you look at the totals.
Step-by-step explanation:
gender| electronic tablet | Laptop | Both | Neither | Total
----------|----------------------------|------------|---------|-------------|--------
girl | 13 | 51 | 8 | 17 | 89
boy | 12 | 31 | 5 | 13 | 61
total | 25 | 82 | 13 | 30 | 150
LMK If I have to explain but I basically just got the 150 students from the directions and went from there.
The points (2, 5) and (1, 1) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=
x-
Answers
Find P(5) when p = 0.38
i was swamped with work and my anxiety is flying off the charts rn
Answers
Step-by-step explanation:
p = 0.38
0.38 × 5
= 1.9
hope it helpful
Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works. 28. __________ If the number of pizzas varies directly with minutes, how many pizzas can Allan make in 3 hours?
Answers
Answer:
96 pizzas
Step-by-step explanation:
First, we have to determine how many pizza he can make in one minute = 8/15 = 0.533
Convert 3 hours to minutes = 3 x 60 = 180 minutes
The number of pizzas he would make in 3 hours = 180 x 0.533 = 96 pizzas
100 POINTS + BRAINLIEST! PLEASE ANSWER ASAP (answer both or no points)
Answers
Answer:
A for the first one and E for the second one.
Step-by-step explanation:
These are the only ones that follow the corospondibg x and y values.
Answer:
this was 3 years ago so guessing you don't need anymore
Step-by-step explanation:
I dont have any points and i need to ask a question
s Help Request edit ac 34 33 The first four terms of a quadratic sequence are shown below. 6, 9, 14, 21, ... The first five terms of a geometric sequence are shown below. -25, 125, -625, 3125 - 15625 32 What is the difference between the 5th term and the 6th term of the quadratic sequence? What is the common ratio of the sequence? A. 3 B. 7 C. 11 A. { B. C. - D. - D. 13 5 huu 10 a linear sequence The first five terms are shown below. 8, 6, 4, 2, 0, ... What is the 100th term in the sequence? A - 192 B = 190 C. - 108 D. 90
Answers
Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011