The scale factor of the dilation is 0.78
The centre of dilation is located at (0,0)
The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.
According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:
[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]
Hence the scale factor of the dilation is 0.78
The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
The center of dilation is a point to the right of both circles.
From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:
[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)
Where:
[tex]r_{1}[/tex] - Radius of the original circle.
[tex]r_{2}[/tex] - Radius of the dilated circle.
If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:
[tex]f = \frac{7}{9}[/tex].
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)
In a nutshell, the center of dilation is a point to the right of both circles.
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
109 / 5000
El lado izquierdo
11
no es igual al lado derecho
4
, lo que significa que la declaración dada es falsa.
Falso
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
What is the approximate value of V7 to the nearest tenth
Answer:
17 i think i dont know if its the right answear
what's the answer for this?
Answer:
A
Step-by-step explanation:
Observe the coordinates of C, it's (5,2). Now observe C' which is (2, - 5). Hence the rule is (x, y) -> (y, - x)
How long would it take the car to travel a distance of 2 meters at this average speed?
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the bedroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Answer:
C. 14 ft by 21 ft
Step-by-step explanation:
First you want to set up an equation:
3 1/2" over x' = 1/4" over 1'
7/2 = 1/4x
14' = x
Next, do the same thing for the other side of the drawing (5 1/4")
5 1/4" over y' = 1/4" over 1'
21/4 = 1/4y
21' = y
So the answer is 14 ft by 21 ft (C)
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Which congruence theorem can be used to prove
ABR = RCA?
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
Factorise each expression 8 - 2v²
Answer:
hello thereee
8 - 2v^2 we are suppose to facotrize...
2 ( 4 - v^2 )
2 ( 2^2 - v^2 )
apply identity a^2 - b^2
2 ( 2 + v ) ( 2- v )
done dana done.....
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?
(Once a marble is chosen it IS put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
0.06
Step-by-step explanation:
Total number of marbles:
6 + 10 + 5 + 1 = 22 marbles
Probability of picking 1 red marble:
red marbles / total marbles
6/22
Probability of picking a green marble:
green marbles / total marbles
5/22
Now, multiply the probabilities:
6/22 • 5/22 = 15/242 = 0.06
Please tell me whats the number?
Answer:
5/6
Step-by-step explanation:
15/18
Divide the top and bottom by 3
15/3 = 5
18/3 = 6
5/6
I have simplified:)
To simplify, you have to divide the numerator & denominator by 3
BTW,I am also an Acellus student!:)
please help me in solving this
Answer:
it can be 5 from my side is that right
Answer:
is ur question right
Step-by-step explanation:
is ur question right
is ur question right
is ur question right
what’s is the quotient for the rational expression shown below?
Answer:
D
Step-by-step explanation:
D is the correct answer
Please help, I’ll give brainly!!!
Answer:
9.
3 ( 1 - 3x ) = 2 (-4x + 7)
3 - 9x = -8x +14
-9x +8x = 14 - 3
-x = 11
x = -11
10.
-10 + x + 4 - 5 = 7x - 5
-10 +x -1 = 7x - 5
-11 + x = 7x - 5
-11 + 5 = 7x -x
-6 = 6x
x = -6/6
x = -1
11.
-8n + 4 ( 1 + 5n ) = -6n -14
-8n + 4 + 20n = -6n -14
12n +4 = -6n -14
12n + 6n = -14 -4
18n = -18
n = -18/18
n = -1
12.
-6n - 20 = -2n + 4 ( 1 - 3n)
-6n - 20 = -2n + 4 - 12n
-6n - 20 = -14n +4
-20 -4 = -14n +6n
-24 = 8n
n = -24/8
n = -3
13.
4n - 40 = 7 (-2n +2)
4n - 40 = -14n + 14
4n +14n = 14 +40
18n = 54
n = 54 / 18
n = 3
14.
7(5a - 4) -1 = 14 - 8a
35a -28 -1 = 14 - 8a
35a -29 = 14 - 8a
35a +8a = 14 +29
43a = 43
a = 43/43
a = 1
15.
-31 - 4x = -5 - 5 ( 1 + 5x)
-31 - 4x = -5 -5 - 25x
-31 - 4x = -10 -25x
-4x +25x = -10 +31
21x = 21
x = 21/21
x = 1
16.
38 +7k = 8 (k +4)
38 +7k = 8k + 32
38 - 32 = 8k -7k
k = 6
pls help
The equation of a line parallel to 6x – 2y + 10 = 0 and passes through the point
(-2,7).
Answer:
y=3x-1
Step-by-step explanation:
First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3xIn standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept Therefore the answer is y=3x-1Answer:
Y = 3X + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )
- 2y = - 6x - 10 ( divide terms by - 2 )
y = 3x + 5 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , so
y = 3x + c ← is the partial equation
To find c substitute (- 2, 7 ) into the partial equation
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = 3x + 13 ← equation of line in slope- intercept form
how many solutions does the equation below have? 3x-8=-2x+9/3
Answer:
1
Step-by-step explanation:
[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]
[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]
[tex]\\ \sf\longmapsto 5x=11[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]
3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If a
subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]
a) $14.40
b) $57.60
c) $86.40
d) $90
Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2
Answer:
The answer is "[tex]\frac{1}{2}[/tex]".
Step-by-step explanation:
Given points:
[tex](-2,3)\\\\(2,5)\\\\[/tex]
average rate=?
[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]
[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
Solve the equation. The letters a, b, and c are constants and a≠0
ax-76 = 9c
i’m confused bc it doesn’t tell me what i’m solving for. please help! thank you!
Answer:
Step-by-step explanation:
Probably it's asking for x so you have to find x in term of a and c
ax = 9c+76
x = 9c+76/a
Answer:
Step-by-step explanation:
I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.
ax-76 = 9c Add 76 to both sides
ax = 9x + 76 Divide by a
x = (9x + 76)/a
PPPPlease help meeee!
Answer:
A
Step-by-step explanation:
Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.
Using only the values given in the table for the function f(x) = x^3 - 3x - 2 what is the interval of x-values over which the function is decreasing?
Answer:
3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).
-3z-z
HELP PLZ
Hahsjsjsnsksns snskskd
Answer:
-4z
Step-by-step explanation:
-3z-z
= -4z
Answer:
-4
Step-by-step explanation:
[tex] - 3z - z[/tex]
[tex] - 3z - 1z[/tex]
[tex]( - 3 - 1)z = - 3 - 1[/tex]
[tex] - (3 - 1)[/tex]
[tex] = - 4z[/tex]
Plz help........
1. -1114 ÷ ( - 117)
2. -212 ÷ ( -123)
3. - 512 ÷ 58
4. 27 ÷ ( -79)
Answer:
1. 1114/117 2. 212/123 3. -256/29 4. -27/79
Step-by-step explanation:
1. 1114/117
2. 212/123
3. -256/29
4. -27/79
Which expression below equals a rational number, choose all that apply.
Please help.
Answer:
BELOW IN BOLD.
Step-by-step explanation:
4/5 + 3/8
= 47 / 49 which id Rational
√100 + √5
= 10 + √5; - Irrational
7√5 - √245
=7√5 - 7√5
= 0 RATIONAL
Next one = 56 so Rational
Last one is Irrational
sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x
Answer:
no entendi muy bien sorry
