Please Help me with this I don’t understand
Polygon E’F’G’H’
is a dilation image of the polygon
EFGH
What is the scale factor of the dilation?
A.3
B.6
C.12
D.1/3
Answers
Answer:
The scale factor of the dilation is 3 ⇒ A
Step-by-step explanation:
If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpointsIn the given figure
∵ EFGH is a polygon
∵ E = (-2, 1), H = (-2, -1)
∵ EH is a vertical side
→ By using the 2nd rule above
∴ The length of EH = 1 - (-1) = 1 + 1
∴ The length of EH = 2
∵ E'F'G'H' is its image after dilation by scale factor k
∵ E' = (-2, 5), and H' = (-2, -1)
∵ E'H' is a vertical side
∴ The length of E'H' = 5 - (-1) = 5 + 1
∴ The length of E'H' = 6
→ By using the 1st rule above
∴ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{E'F'}{EF}[/tex] = [tex]\frac{H'G'}{HG}[/tex] = [tex]\frac{F'G'}{FG}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]
∴ [tex]\frac{E'H'}{EH}[/tex] = 3
∴ k = 3
∴ The scale factor of the dilation is 3
Related Questions
If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?
Answers
Answer:
Julie jogged five times further than Jan.
Step-by-step explanation:
We can find this solution just by dividing Julie's distance by Jan's:
[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]
So Julie jogged five times further.
One newspaper reported that the mayor received a salary increase of 5%.Another paper reported that the mayor’s salary went up $2000. What was the mayor’s salary before the increase?
Answers
Answer:
$1900
Step-by-step explanation:
5% increase is $100 dollar
Answer:
Let
x= Mayor’s previous salary
y=his increased salary
5% increase means
(105/100)*x=y——-(1)
From the other reporter
The Mayor’s salary went up $2000
:. y-x=2000———-(2)
Put y= (105/100)*x into equation 2
105x/100 -x =2000
Multiply through by 100
105x-100x=200000
5x=200000
Divide both sides by 5
x=40000
Hence his previous salary was $40,000 and current one is
y=2000 +40000
y=$42000
Step-by-step explanation: from your question, you didn’t state whether it went up by 2000 or went to 2000. I chose went by 2000. If it were to be went to 2000 , the equation will be different. It would been 2000-x=y
Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 * 10^4 is 300 times larger than 3 * 10^2 (D) 9 * 10^4 is 3000 times larger than 3 * 10^2
Answers
Answer:
9 * 10^4 is 300 times larger than 3 * 10^2
Step-by-step explanation:
Here, we want to compare the two figures and give the verdict on how big they are
as we can see, by squaring the second figure, we get the first
Mathematically, what we are saying is that;
(9 * 10^4) = (3 * 10^2)^2
So
basically, the difference between the two is to the tune of (3 * 10^2)
Hence we can conclude that the first number is 300 times bigger than the second number
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answers
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi
Find the value of x in the following figure ( Please hurry)
Answers
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
13х - 7y + 4х
Please explain and awnser it’s for a test!
Answers
Answer:
17x-7y
Step-by-step explanation:
Im assuming you need to simplify it.
combine 13x and 4x
17x-7y
sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay
Answers
Answer:
$67.98
Step-by-step explanation:
The discount was 25%, so you would need to multiply 90.64 and 0.25.
90.64*0.25= 22.66
However, that isn't your final answer because 22.66 is how much Sophie saved.
90.64-22.66= 67.98
Therefore, your answer would be $67.98.
Hope this helps :)
Answer:
45.54
Step-by-step explanation:
R is inversely proportional to A
R = 12.1 when A =1.5 a) work out a formula connecting R and A
Answers
Answer:
The formula is connecting R and A
[tex]R = k \frac{1}{A}[/tex]
The value of 'K' = 18.15
Step-by-step explanation:
Step(i):-
Given that R is inversely proportional to A
R ∝ 1 / A
[tex]R = k \frac{1}{A}[/tex]
Given R = 12 .1 and A = 1.5
[tex]R = k \frac{1}{A}[/tex]
[tex]12.1 = K (\frac{1}{1.5} )[/tex]
K = 12.1 × 1.5
K = 18.15
The value of 'K' = 18.15
for what value of M is the equation an identity 4x^2-x+M=3x^2+x+2
Answers
Answer:
[tex]m=3x^{3} +2[/tex]
Step-by-step explanation:
[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]
[tex]4x^{2} +m=3x^{2} +2x+2[/tex]
[tex]x^{2} +m=2x+2[/tex]
[tex]m=3x^{3} +2[/tex]
1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals
Answers
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Answers
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Answers
Answer:
£2585.64
Step-by-step explanation:
FV=PV(1+i)^t
Which means we have
1900(1+.045)^7
1900(1.045)^7
2585.64
I NEED HELP PLEASE HELP
Answers
Answer:
66.) 1.) M=-9/7
2.) Y-INTERCEPT (9)
3.) X-INTERCEPT (7).
Answer:
Step-by-step explanation:
I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz
Pls help and show working/explain
Answers
Answer:
C. Corresponding angles
Step-by-step explanation:
Hope this helps!
Please mark me brainliest if you can. :)
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answers
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
Please help I’ll give brainliest if correct
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2
What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answers
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
Answer:
The correct answer is D. 31.
Step-by-step explanation:
I got it right on the Plato test.
Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²
Answers
Calculate the area of the full circle:
Area = PI x r^2
Area = 3.14 x 14^2 = 615.44 sq. cm
45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8
615.44 x 1/8 = 76.93, round to 77 cm^2
The answer is B. 77 cm^2
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answers
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
Solve this triangle using the law of sines
Answers
Answer:
answer is 6√3
it's right answer
:-))
my head is empty for now, i rly can't with online classes
so anyone wanna help me?
Answers
Answer:
The Y intercept is (0,7)
Step-by-step explanation:
If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)
help meeeee this are the last of my mf pointssssss
Answers
Answer:
y=0.6 x=3.6
dddddddddddddddddd
In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x.
Answers
Answer:
The 2 angles are supplementary. This means they have to add up to 180 degrees. The first angle is 8x and the second is x+27. So set both of them equal to 180.
8x + x + 27 = 180
9x = 153
x = 17
Angle 1 = 8(17) = 136
Angle 2 = (17) + 27 = 44
Check: Angle 1 + Angle 2 = 180
136 + 44 = 180
Step-by-step explanation:
V Find the value of x in the triangle. 55° 629 c. 63
Answers
Answer:
Be clear with your question please
Question 11
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Simplify the expression x^1/5 • x^5/2 Assume x > 0.
A) The answer can be written in the form x^a where
the exponent a is: Note: enter the exponent as a reduced fraction or integer.
B) The answer can be written in the form 1/x^b where the exponent b is:
Note: enter the exponent as a reduced fraction or integer.
Answers
Answer:
A. x^27/10
B. 1/x^-27/10
Step-by-step explanation:
Mathematically, if we have the same base, we simply add up the index
Thus, we have that;
x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10
A) In the first form, we have that;
x^27/10
a = 27/10
B) We simply negate what we have above in terms of the index according to the indices law below;
a^b = 1/a^-b
Hence, we have that;
1/x^-27/10
12.5 rounded to the nearest tenth, (I’m checking my answers so just the number will do thank you)
Answers
Answer:
I think it's 13
Step-by-step explanation:
i have 10 mins to turn this in... please help
Answers
Answer:
No
Step-by-step explanation:
don' really have time to explain but i'll try later hope this helps
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
Answers
Answer:
C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.
Can you help me with question number 10, please?
Answers
Answer:
(1) 8.3
Step-by-step explanation:
Answer:
1) 8.3
Step-by-step explanation:
get rid of the (), which u will get 4x-28=0.3x+0.6+2.11
combine like terms, which u will get 4x-28=0.3x+2.71
move variable to one side and numbers to the other, which you will get
3.7x=30.71
divide both sides by 3.7 which u will get 8.3
How many roots does a quadratic have if it does not cross the x-axis? = 2 real roots
True or false? I need help asap ty!
Answers
How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27
Answers
3(x+9)=3x+27
3x+27=3x+27