Answer:
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
Step-by-step explanation:
Vectorially speaking, dilation can be defined by this equation:
[tex]D'(x,y) = O(x,y) +k\cdot (D(x,y)-O(x,y))[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.
[tex]D(x,y)[/tex] - Original point.
[tex]k[/tex] - Scale factor.
[tex]D'(x,y)[/tex] - Dilated point.
Let suppose that center of dilation is located at origin, we determine the new set of coordinates below:
[tex]E'(x,y) = O(x,y) +k\cdot (E(x,y)-O(x,y))[/tex]
[tex]E'(x,y) = (0,0) +6\cdot (-1,-2)[/tex]
[tex]E'(x,y) = (-6,-12)[/tex]
[tex]F'(x,y) = O(x,y) + k\cdot (F(x,y)-O(x,y))[/tex]
[tex]F'(x,y) = (0,0) +6\cdot (2,-5)[/tex]
[tex]F'(x,y) = (12,-30)[/tex]
[tex]G'(x,y) = O(x,y) + k\cdot (G(x,y)-O(x,y))[/tex]
[tex]G'(x,y) = (0,0) + 6\cdot (5,-1)[/tex]
[tex]G'(x,y) = (30,-6)[/tex]
[tex]H'(x,y) = O(x,y) +k\cdot (H(x,y)-O(x,y))[/tex]
[tex]H'(x,y) = (0,0) + 6\cdot (1,1)[/tex]
[tex]H'(x,y) = (6,6)[/tex]
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
It says find the measure of each angle indicated
Answer:
110 = x
Step-by-step explanation:
the ? and 40º have to sum to 150º because angle d is an exterior angle
There are 4 white marbles, 6 red marbles, and 2
blue marbles. Once a marble is selected, it is not
replaced. Find the probability of selecting 2 blue
marbles.
Answer:
For first question, there is 12 marbles at first. So the probability of choosing blue marble is 3/12=1/4. Then marbles are not replaced, the total number is 11. The probability of choosing red is 5/11. So the finally answer is (1/4)*(5/11)=5/44. The same method for second question. Need to notice that you have already choose 1 white marble, so the number of white marble also changed. The answer is (4/12)*(3/11)=1/11.
Step-by-step explanation:
The probability of selecting 2 blue marbles without replacement will be 1/66.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
There are 4 white marbles, 6 red marbles, and 2 blue marbles.
Once a marble is selected, it is not replaced.
Then the total number of the marbles will be
Total marbles = 4 + 6 + 2
Total marbles = 12
Then the probability of selecting 2 blue marbles without replacement will be
P = 2/12 x 1/11
P = 2/132
P = 1/66
More about the probability link is given below.
https://brainly.com/question/795909
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what can 980 be divided by
Step-by-step explanation:
there are so many numbers that can be divided into 980 like 2,3,4,5 etc....
Evaluate and simplify the following complex fraction.
=========================================================
Explanation:
The fraction 6/(-7) is the same as -6/7
We have the two fraction -6/7 and 3/11 being divided
The denominators are 7 and 11 respectively.
The LCM of those two numbers is 77 since 7*11 = 77
If we multiply each of those fractions (-6/7 and 3/11) by 77, then we'll clear out those inner denominators to simplify this complex fraction into a nicer one.
77*(-6/7) = -66
77*(3/11) = 21
This means the original complex fraction becomes -66/21
We can further simplify this by dividing each part by the GCF 3
-66/3 = -22
21/3 = 7
Therefore, the final answer is -22/7
Which scatterplot shows a positive liner association
Answer:
D.
Step-by-step explanation:
The points are pointing up in a positive direction so it would be postive.
I know that this is simple algebra but I am asking for your help step by please will mark brainliest for who gets this right.
Answer: Y= -9 + 3x/2
Step-by-step explanation: Down below Have a brilliant day-Lily ^_^
correct answer gets brainliest +25 points
Answer:
The awner is C
Step-by-step explanation:
Have a great day!
Answer:
2) Net A with 480 square inches
If I'm wrong just delete my answer.
Fill in the blank with the correct response.
Twenty-eight is 40% of
.
Answer
70%
Step-by-step explanation:
Factor the polynomial below.
25x2-4
Answer:
46
Step-by-step explanation:
25+2 is 50-4=46
help help its pre pre agelbra
A strand of straight hair would be most accurately classified as a ______________.
a.ray
b. line
c.line segment
d. none of the above
Please help I will give brainiest to the right answer!!!!!!!! Please Help!!! ASAP!!!!
Answer:
Yes
Step-by-step explanation:
y = 12(x)+28
(-1,16)
y = 12(-1)+28 = 16
(5,88)
y = 12(5)+28 = 88
Answer:
We conclude that the function [tex]f(x) = 12x + 28[/tex] works.
The graph of the function y = 12x + 28 is also attached below.
Step-by-step explanation:
Given that the line passes through the points
(-1, 16)(5, 88)Let us determine the slope between (-1, 16) and (5, 88) using the slope formula
[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case:
(x₁, y₁) = (-1, 16)(x₂, y₂) = (5, 88)so subtituting (x₁, y₁) = (-1, 16) and (x₂, y₂) = (5, 88) in the slope formula
[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{88-16}{5-\left(-1\right)}[/tex]
Refine
[tex]m=12[/tex]
Thus, the slope of the line is: m = 12
Important Tip:
The slope-intercept form of the line equation is
[tex]y = mx + b[/tex]
where m is the slope and b is the y-intercept
now substituting m = 12 and the point (-1, 16) in the slope-intercept form of the line equation
[tex]y = mx + b[/tex]
[tex]16 = 12(-1) + b[/tex]
switch the equation
[tex]12(-1) + b = 16[/tex]
[tex]-12 + b = 16[/tex]
Add 12 to both sides
[tex]-12+b+12=16+12[/tex]
Simplify
[tex]b=28[/tex]
Thus, the y-intercept of the line is: b = 28
now substituting m = 12 and b = 28 in the slope-intercept form of the line equation
[tex]y = mx + b[/tex]
[tex]y = 12x + 28[/tex]
Thus the equation of the line is:
[tex]y = 12x + 28[/tex]
or
[tex]f(x) = 12x + 28[/tex] ∵ [tex]y = f(x)[/tex]
Hence, we conclude that the function [tex]f(x) = 12x + 28[/tex] works.
The graph of the function y = 12x + 28 is also attached below.
What is the geometric mean between 3 and 10
Answer:
So for the geometric mean, you would multiply the two numbers and put them under a radical
Step-by-step explanation:
3 times 10= 30
=[tex]\sqrt{30}[/tex]
The solution is : the geometric mean between 3 and 10 is √30.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
here, we have,
Given: two numbers 3 and 10
we have,
To Find: Geometric number of numbers in 3 and 10
Solution:
Let first number be a
Let second number be b
Geometric mean of two numbers a and b is √ab
Now,
First number is 3
Second number is 10
Geometric mean of both numbers is :
√3×10
=√30
Geometric mean is √30.
Hence, The solution is : the geometric mean between 3 and 10 is √30.
Learn more about geometric mean from the given link
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Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures
Answer:
1 piece of equal length = 2 3/4 yards of cloth
Step-by-step explanation:
Sariyah cuts 22 yards of cloth into 8 pieces of equal length the lengths of each pieces falls between two measures
8 pieces of equal length = 22 yards of cloth
1 piece of equal length = x yards
Cross Multiply
8 pieces × x yards = 22 yards × 1 piece
x yards = 22 yards/8
x yards = 11/4
x yards = 2 3/4 yards
Therefore, 1 piece of equal length = 2 3/4 yards of cloth
The product of two consecutive numbers is ninety. what are the numbers
Answer:
9 and 10
Step-by-step explanation:
Choose the graph that solves this system of equations.
y = 2x – 6
y = –4x + 3
Two lines that intersect at the origin. One line has a positive slope and the other has a negative slope. Two lines that intersect at about 2 comma negative one half. One line has a positive slope and the other has a negative slope. There is also a single dot at the origin. Two lines that intersect at about three halves comma negative 3. One line has a positive slope and the other has a negative slope. Two lines that both have a positive slope. They do not intersect on the part of the graph shown, but there is a single dot at the origin.
Answer: Two lines that intersect at about three halves comma negative 3. One line has a positive slope and the other has a negative slope.
Step-by-step explanation:
Given equations of line:
y = 2x – 6 ...(i)
y = –4x + 3 ...(ii)
On comparing with y=mx+c (slope-intercept form), where m= slope ,= y-intercept.
(i) has positive slope (2) and (ii) has negative slope(-4).
Eliminate (ii) from (i), we get
0 = 6x-9
⇒ 6x=9
⇒ [tex]x=\dfrac32[/tex]
Put value of x in (i), we get
[tex]y=2(\dfrac32)-6\\\\\Rightarrow\ y=3-6=-3[/tex]
Point of intersection = (three halves, negative 3)
Answer:
d
Step-by-step explanation:
Two lines that intersect at the origin. One line has a positive slope and the other has a negative slope
A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a blue or a yellow crayon. Write your answer as a fraction in simplest form.
Answer: 13/22
Step-by-step explanation:
Number of red crayons = 9
Number of blue crayons = 5
Number of yellow crayons = 8
Total number of crayons = 9+5+8 = 22
The probability of selecting either ia blue or a yellow crayon will be:
= 5/22 + 8/22
= 13/22
Evaluate one-third of the sum of 15 and 6 ( i know its a weird question but help me out please)
1/3 x ( 15 + 6 ) = ___
answer
Answer:
7
Step-by-step explanation:
15+6=21
21÷3=7
Answer:
7
Step-by-step explanation:
First you do the calculation inside the brackets,
15 + 6 = 21
Then you multiply the answer, 21, by 1/3
21 x 1/3 = 7
Have a great day :)
PLEASE HELP
Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent.
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 8x + 4 = 28
C. 4x + 8 = 28
D. 8x - 4 = 28
E. 4(x+8) = 28
Answer:
Step-by-step explanation:
Eight more means add 8
Four times an unknown number is 4x
‘Is’ 28 means equal to 28
4x+8=28
What are the horizontal and vertical asymptotes of the graph of y
2 + 3
24 - 81
?
O A. y = 0; x = 3
B. y = 0; x = -3 and x = 3
O C. y = 1; x = 9
o D. y = 1; x = -9
Answer:
C
Step-by-step explanation:
Hope this helped! Please let me know if I'm wrong!
Please help ! will give brainly if right! :)
Answer:
takes 15 hours k12
Step-by-step explanation:
Answer:
All answers below :)
Step-by-step explanation:
Hi there!
I don’t know how to properly answer step 1, but it looks like you already have the formula written down.
For step 2, divide 120 by 3 to find how many backpacks made in one hour, or 40 backpacks per hour.
600 backpacks = 40 backpacks/1 hour * t
Step 3: This may look complicated, but i promise it is not. All we have to do here is divide 600 by 40, or 15.
t = 15, or it will take 15 hours to make 600 backpacks.
I hope this helps!
Which set of ordered pairs does not represent a function?
A {(-7,-5),(-5, -7), (-2,5),(-1, -9)}
B {(-6, -7), (5,3), (-7,-8), (3,3)} C{(7,8), (0,6), (0, -8), (-3,7)}
D {(3,5), (1,9), (-5, -6), (4,9)}
Answer:
C
Step-by-step explanation:
Because 0 repeats
The answer is C, because the 0 repeats itself in C and in a function, X does NOT repeat. And in this case, X is 0, which repeats.
Question 1 (1 point)
Ryan is going to paint the room represented by this net. Determine the square footage Ryan needs to paint (Hint 'The ceiling
and floor will not be ppainted.)
The coordinates of the endpoints of MP are
M(-3,-2) and P (2, 3).
Which measurement is the closest to the length of MP in units
A: 7.1 units
B:5 units
C:4.5units
D:10units
Answer: A
Step-by-step explanation:
I don’t know how to explain this, but I’m pretty sure it’s A
Someone can help me !!!!
Answer: the second to last answer
Step-by-step explanation:
For the product (8x-6)(2x + 5). does anyone know how I would get the answer for A and B?
Answer:
A=16x^2
B=-12x
Step-by-step explanation:
I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!
If the simple interest on $5000 for 8 years is $2400, then what is the interest rate?
Answer:
joe
Step-by-step explanation:
solve the inequality -2z - 3 < 5
-2z - 3 < 5 inequality is solved to z>-4.
What is Inequality?Relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is -2z - 3 < 5
Minus two times of z minus three less than five.
-2z - 3 < 5
We need to solve this inequality, which means we need to solve of variable z.
Add 3 on both sides of inequality
-2z<8
Divide both sides by 2
-z<4
Multiply the given inequality by minus
z>-4
Hence, -2z - 3 < 5 inequality is solved to z>-4.
To learn more on Inequality click:
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Solve the simultaneous equations
5x + 2y = 24
3x – 2y = 16
I will give your branilest!
Answer:
the first image has three sides
the second image has 6 sides
the third image i think has 48 sides
Step-by-step explanation:
Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1529 liters of water. Water is being added to the first pool at a rate of 21.5 liters per minute. Water is being added to the second pool at a rate of 34.75 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
Answer:
after 36 minutes the two pools will have the same amount of water.
2110 liters of water would be in each pool when they have the same amount.
Step-by-step explanation: