Answers
Answer:
[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]
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Related Questions
If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor of 1⁄2, write an equation to represent the new function.
Answers
Answer:
h(x) = 1/2f(-x)Step-by-step explanation:
Let the parent function be:
f(x)Reflection over y-axis:
g(x) → f(-x)Vertical compression by a factor of 1/2:
h(x) → 1/2g(x)Final function in terms of parent function:
h(x) = 1/2f(-x)Multiply (3a+2)(3a-2)
Answers
Josh is downloading a file. The size
of the file is 3,200 KB. It takes 3
minutes to download the first
1,200 KB of the file. If the file
continues downloading at the same
rate, how many more minutes will it
take to finish downloading?
Answers
Answer:
5 minutes
Step-by-step explanation:
1200 ÷ 3 = 400 kb per minute
3200 ÷ 400 = 8 kb per minute
8 - 3 = 5 more minutes
Given the function: f ( x ) = { 7 x + 9 x < 0 7 x + 18 x ≥ 0 Calculate the values f
(
−
1
)
=
f
(
0
)
=
f
(
2
)
=
Answers
Answer:
Step-by-step exjwnfjaW ejgnewjkgn rngjwrgnrwjg
IF i make 525 dollars
a second how long
will it take to make
2 million dollars
Answers
Answer:
ewan ko sorry kailangan lang ng points
Answer:
You would make 2 million dollars in 63 minutes, sure would be nice too.
Step-by-step explanation:
If a number is reduced by 40% and it becomes 192, what was the original price?
Answers
Answer:
320
Step-by-step explanation:
A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275.
Answers
Answer:
0.4332 = 43.32% probability of a rating that is between 200 and 275.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50
This means that [tex]\mu = 200, \sigma = 50[/tex].
Find the probability of a rating that is between 200 and 275.
This is the pvalue of Z when X = 275 subtracted by the pvalue of Z when X = 200. So
X = 275
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{275 - 200}{50}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 200
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 200}{50}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.9332 - 0.5 = 0.4332
0.4332 = 43.32% probability of a rating that is between 200 and 275.
Help with number one!! Explain how you did it please!! Thank you.
Answers
Answer:
x=2, x=-3
Step-by-step explanation:
What two numbers multiply together to give you -36 and add together to give you -9
Answers
Answer:
-12 and 3
Step-by-step explanation:
-12x3= -36
-12+3= -9
Answer:
-18
Step-by-step explanation:
You roll two dice 44 times how many times do you expect to roll at least one even die?
Answers
Answer:
2
Step-by-step explanation:
6, because there's 3 types of even die and you're rolling it 44 times, or 6 times per number
if 1/5 of the length of a pole is 12 feet, what is height of the pole?
Answers
Answer:
60 feet
Step-by-step explanation:
if 1/5 is 12 feet of the length of the pole then that means you would have to multiply 12 by 5 to get 60. 1/5 + 1/5 + 1/5 + 1/5 + 1/5 is the height of the pole so you would have to multiply 1/5 (12) by 5 to get the full length of the pole.
Answer:
60ft
Step-by-step explanation:
if 1/5 of the pole is equal to 12ft then to find the total height (length) of the pole you need to multiply by the denominator (base of the fraction) so...
5 x 12 = 60ft
Avery cycles 2 kilometers during each trip to work. After 2 trips to work, how many
kilometers will Avery have cycled in total?
Answers
help help pls answer asap
Answers
Answer:
Step-by-step explanation:
V-0.12V (first option) if we factor it it becomes
V(1-0.12)=0.88V (last option)
A person places $7120 in an investment account earning an annual rate of 7.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answers
Answer:
16069.25
Just know that
P=Is the first number in the word prob.
R=the second number (percentage one) which you get into decimal form
T=the last number in the word problem
g(x)=-7x+6. Solve g(x)=-17
Answers
Answer:
23/7
Step-by-step explanation:
-7x+6=-17
-7x=-17-6
-7x=-23
7x=23
x=23/7
I need help brosssssssssssssss
Answers
Answer:
7
Step-by-step explanation:
Because there are 7 zeros :)
what is x+ 7 - (x+1)
Answers
Answer:
6 bc it is
Step-by-step explanation:
30
Which of the following equations represents the line with a slope of 1/7 and a y-intercept of negative 4?
y = -1/7x - 4
y = 1/7x + 4
y = -1/7x + 4
y = 1/7x - 4
Answers
For this exponential function what is the output value (y) when the input value (x) is 0?
Answers
Answer:
12
Step-by-step explanation:
[tex]y^0=1\\5^0=1\\12*1=12[/tex]
D
simplity
x3 + y 3
x+y
Answers
[tex]\displaystyle\bf\\\frac{x^3+y^3}{x+y}=?\\\\ ~~~~~~~~~~~We~use~the~formula:~~~~x^3+y^3=(x+y)(x^2-xy+y^2)\\\\\frac{x^3+y^3}{x+y}=\frac{(x+y)(x^2-xy+y^2)}{x+y}=\boxed{\bf x^2-xy+y^2}\\\\We~simplified~the~fraction~with~(x + y)[/tex]
School lunches cost PHP 135.50 per week. About how much would 15.5 weeks of lunches cost?
Answers
Answer: $2,100.25
Step-by-step explanation:
$135.50 x 15.5 = $2,100.25
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME
Answers
Answer:
6
Step-by-step explanation
divide 48/6=6
divide 90/15=6
divide 102/17=6
Case 1 = 4 blocks case 2 = 9 blocks case 3 =16 blocks. How many blocks are need for the 9th case?
Answers
9514 1404 393
Answer:
100
Step-by-step explanation:
4 = 2² . . . case 1
9 = 3² . . . case 2
16 = 4² . . . case 3
The number of blocks is the square of the number 1 greater than the case number. For case 9, the number of blocks is (9+1)² = 10² = 100.
100 blocks are needed for the 9th case.
Find the area of a rectangle with the following side lengths:
Width: 3x - 4
Length: 3x + 2
Answers
9514 1404 393
Answer:
9x² -6x -8
Step-by-step explanation:
The area is the product of length and width.
A = LW
A = (3x +2)(3x -4) = 3x(3x -4) +2(3x -4)
A = 9x² -12x +6x -8
A = 9x² -6x -8 . . . area of the rectangle
Please solve, will mark brainliest
Answers
Answer: I'm late but do you still need the answer
Step-by-step explanation:
What is the surface area of a cylinder with a radius of 10 cm and a height of 30 cm
Answers
Answer:
2513.27 including the pi
Step-by-step explanation:
How many triangles can be constructed with three angles, each measuring 63°?
one
none
more than one
Answers
Answer:
None
Step-by-step explanation:
i just took the test
Answer:
None
Step-by-step explanation:
I took the test and I got it correct
In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 point
How many points did Chrissy have in total after two rounds?
Answers
Answer:
-60
Step-by-step explanation:
43 - 103
Hayyy im back Yall give me good luck
Answers
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Substitute the x's for multiplication signs
[tex]5^{2} x(7-3)/5=25x(7-3)/5=25x(4)/5=100/5=20[/tex]
Give an example of a rate that is not a unit rate. Explain your choice
Answers
Answer:
A unit rate is a rate that has a denominator of 1. For example the Rate could be 48 kids per 4 classrooms. The unit rate for this would be 12 kids per 1 classroom. The denominator should always be one.
or another examples would be 150 miles/ 6 hours