Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?
Answers
Answer:
A'(-2, 2)B'(-2, 1)C'(-1, 1)Step-by-step explanation:
For scale factor k and center of dilation (p, q), the transformation is ...
(x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)
For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...
(x, y) ⇒ (1/4x -9/4, 1/4y +9/4)
Then the preimage points are dilated to ...
A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)
B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)
C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)
Related Questions
Which is the correct quotient with a letter as the remainder?
Answers
Answer:
A
Step-by-step explanation:
876 divided by 43 = 20
and the remainder is 16
in the case of other options, the quotients are correct but the remainders are wrong.
Therefore, A is the option with both correct quotient and remainder.
What function represents the next graph?
Answers
Answer:
Option 1: y = (x - 2)² + 2
Step-by-step explanation:
Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):
Definitions:The vertex form of the quadratic equations is:
y = a(x - h)² + k
where:
(h, k) is the vertex.
The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.The sign of a determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.
If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph. If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph. Solution:Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the vertex form to solve for the value of the coefficient, a:
y = a(x - h)² + k
6 = a(0 - 2)² + 2
6 = a(-2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4 to solve for a :
[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]
a = 1
Quadratic Equation in Vertex Form:Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.
A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work
Answers
Answer:
4/3mpm
Step-by-step explanation:
(1 1/2)/(1 1/8)
convert to improper fraction
(3/2)/(9/8)
solve
1/(3/4)
4/3
Help pls it’s a bit tricky
Answers
[tex]2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2[/tex]
Answer:
(D) [tex]y = - \frac{2x}{5} - 2[/tex]
Step-by-step explanation:
The problem consist in isolate the [tex]y[/tex] variable
The steps are below:
[tex]2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}[/tex]
Know the trick is in separate the fraction in two others as this example:
[tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]
So in our case we have:
[tex]y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}[/tex]
That correspond to D
Find the least common multiple of each set of numbers . 4, 10
Answers
4, 8, 12, 20
10, 20
The least common multiple of 4 and 10
I hoped this helped. :)
I need help with this please.
1. Which value is the closest to 1/9 • 24/25 (fractions)
a. 0
b. 0.5
c. 1
d. 21/20 (fraction)
Explain your answer:
Answers
Answer:
Option A: 0
Step-by-step explanation:
Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:
Simply multiply the numerators (together), as well as the denominators.
In other words:
[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]
Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.
Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:
[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.
We must compare this quotient with the other options:
Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.
Option B) 0.5: Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.
Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.
For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator: [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.
Therefore, the closest value to [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.
Please help and no links;)
Answers
Answer:
3w + 8 = 2
Step-by-step explanation:
product of a number and 3 is w * 3
eight more than the above is 3w + 8
which is equal to 2
3w + 8 = 2
Can you please solve this please and thank you.
Answers
Answer:
The answer is 3
Step-by-step explanation:
It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B
12/4 = 3
6/2 = 3
WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)
Answers
Answer:
you got to do it
Step-by-step explanation:
(b)
Write down the integer value of x that satisfies 16 < 3x < 20
Answers
Answer:
x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.
Step-by-step explanation:
Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?
Answers
Answer:
A) 60
B) Between 3 and 4
C) [tex] \frac{160 - 60}{16} [/tex]
D) Extremely unusual.
The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
The difference between Einstein's IQ and the mean :
⇒ 160 - 100 = 60
There are standard deviations between 3 and 4.
Einstein's IQ score to a Z-score:
Here,
ц = 160
σ = 16
X = 100
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (160- 10)/16
⇒ z-score = 150/16
⇒ z-score = 9.375
If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
Learn more about the z-score here:
brainly.com/question/13793746
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I dont understand what to do and what the answer is
Answers
Answer:
-1
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1
Answer:
-1
Step-by-step explanation:
[tex]\frac{(4-2)}{(-2-0)}=\frac{2}{-2} \\\frac{2}{-2}= -1[/tex]
Here is what I did to find the slope:
We will use the first two rows
The first row will be x₂ and y₂
The second row will be x₁ and y₁
The equation to find any slope is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?
[asy]
unitsize(0.35inch);
defaultpen(black+1);
void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i
draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}
pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]
Answers
Answer:
pie((2.5,0),6/10,10,"");
Step-by-step explanation:
Gavin has 50 tokens and continues to ride the roller coaster 3 times every hour (the roller costar costs 6 tokens to ride). Gibson has 12 tokens and finds 2 more tokens on the ground each hour. How long until they have the same number of tokens?
Answers
Answer:
have a good day
Step-by-step explanation:
shape it helps Bye
PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.
Answers
Answer:
Step-by-step explanation:
A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = ITerry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose
Answers
Answer:
7 pounds?
Step-by-step explanation:
find the surface area of this triangular prism
please help me
Answers
108 ft square
Step by step
5x8 is 40
3x4 is 12 x 1/2 is 6.
Again, 3x4 is 12 x 1/2 is 6
8x4 is 32
8x3 is 24
Add that all tigether and its 108
The school is 100 meters from Miguel's house.
The following describes the most recent trip.
He walked 75 meters towards school in 3
min. Miguel realized that he left his iPad at
home.
• He tumed around and walked home at the
same speed.
He spent 5 min. looking for his iPad.
• Then he walked all the way to school at 50
meters per minute.
Use the graph tool to create a graph that accurately
represents Miguel's walk.
yeah
Answers
Answer:
i don't knoe if we can do it without the graph
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answers
x = 25
2x + 80 = 130
2x = 50
a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. How much should the kayak rental shop charge to maximize weekly revenue? What is the maximum weekly revenue?
Answers
If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the maximum weekly revenue
What is Equation?Two or more expressions with an Equal sign is called as Equation.
It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day
For each $5 increase in price, the shop loses four kayak rentals per week. we need to find How much should the kayak rental shop charge to maximize weekly revenue
R(x)=(25+5x)(28-4x)
=5(5+x)4(7-x)
=20(5+x)(7-x)
=-20(5+x)(x-7)
when x=1 it is maximum
Price when x =1 is 25+5(1)=30
To calculate maximize revenue
R(1)=(25+5)(28-4)
=30(24)
=720
Hence the maximum weekly revenue is $720.
To learn more on Equation:
https://brainly.com/question/10413253
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The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?
A. 10
B. 15
C. 18
D.20
Answers
In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?
Answers
Answer:
63 members.
Step-by-step explanation:
70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people
Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter
Answers
Answer:
19?
Step-by-step explanation:
find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.
Answers
Answer:
1 cm: 12.5 km
Step-by-step explanation:
Okay just find what the length of one cm equates to so
4/4=1
50/4=12.5
it's like making a unit measurement but yknow its scaling
so one cm (one unit in a way) equals 12.5 km.
4. Solve 6r + 7 = 2r - 9.
r= 4
r=-4
r = 0.5
r = -0.5
Answers
Answer:
r = -4
Step-by-step explanation:
[Given] 6r + 7 = 2r - 9
[Subtract 7 from both sides] 6r = 2r - 16
[Subtract 2x from both sides] 4r = -16
[Divide both sides by 4] r = -4
So our answer is the second option, -4.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Step-by-step explanation:
You answer is -4. I have solved it for you.
How do you do 10 th grade math
Answers
which table represents a linear function?
Answers
Answer:
the first
Step-by-step explanation:
1 point
8.) You make $42.50 babysitting for 5 hours. How much will you make in 8
hours? *
$68.00
$60.50
$64.00
$85.00
Answers
8.50 in 1 hour
So you have 8 hours
You are alt know 5 hours is 42.50
You have another 3 hours
8.50 x 3 = 25.50
42.50 + 25.50 = $68.00
8x+9y=60 2x-9y=-30 elimation method
Answers
Answer:
x=3 y=4
Step-by-step explanation:
8x+9y=60 + 2x-9y=-30
10x=30
x=3
y=4
Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.
Answers
Answer:
-2x^2-2x-2
Step-by-step explanation:
C) -2x(x+2)-(3-2x)(x+2)
-2x^2-3x+2x-x-2
-2x^2-2x-2
Answer:
−3x−6
Step-by-step explanation:
-2x(x+2)-(3-2x)(x+2)
= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)
= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x
= -3x-6
Hopefully this helps!!