30 POINTS! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Transformation
Options for center of dilation is located -->
At the center of the smaller circle, or at the center of the larger circle, or at at the top of the larger circle, or to the right of both circles, or to the left of both circles.
I WILL REPORT SCAMS.
Answers
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.
Related Questions
Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |
Answers
Answer:
the answers would be 1 61/100 and 161/100
Nike is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount
Answers
Answer:
$17.5
Step-by-step explanation:
original price of shirt=$25
discount on shirt=30%
discount on shirt in $=$25*30%
discount on shirt=$7.5
cost of shirt after discount=origanl price-discount
=$25-$7.5
=$17.5
HELP ILL GIVE U BRAINLIEST
Answers
Answer:
-6 33/40
Step-by-step explanation:
[tex]2\frac{5}{8} = 2.625\\-2\frac{3}{5} = 2.6\\\\2.625 *-2.6 = -6.825\\\\-6.825 = -6\frac{33}{40}[/tex]
what is 3.01 as a mixed mber
Answers
Answer:
3 1/100
Step-by-step explanation:
This is the answer because a mixed number is a fraction in it's simplest form.
Select all sets in which the number
HELP PLZZZZZZZZ
8/9
is an element.
A. rational numbers
B. natural numbers
C. whole numbers
D. irrational numbers
E. real numbers
F. integers
Answers
Answer:
A
E
Step-by-step explanation:
a rational number can be expressed as fraction. well, that is what the number 8/9 is.
so, A is a correct option.
as such it is automatically also a member of the real numbers (which is a superset of rational numbers). so, E is a correct option.
all other options are wrong.
8/9 is not a natural number (1, 2, 3, 4, ...).
it is not a whole number (0, 1, 2, 3, 4, ...).
it is not an integer (... , -2, -1, 0, 1, 2, 3, ...).
and as it is a rational number, it is automatically not an irrational number.
3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B
Answers
Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]
If the question is to solve for B: B= 15x+1-3xA+A
Step-by-step explanation:
A: Move terms to the left.
B: Simplify both sides.
Answer:
a=8x^2+3x+1-b/3x-1 -x^2; xdoes not equal 1/3
Step-by-step explanation:
hope this helps
answer
answer
asap
pls
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
An integer can be written as a fraction by giving it a denominator of one
-3 find the value. -3 ( 2 ) ² x (4)
pls tell the answer step by step pls
Answers
(-2/3)^(-2) × x × (3/4)-3
(-3/2)^2 × x ×(4/3)^3
-3/2×-3/2×4/3×4/3×4/3×x
= 16/3 × x
= 16x/3
Must click thanks and mark brainliest
1.4 (x + 5) + 1.6x = 52
Simplify <3
Answers
3x+7=52
3x=45
x=15
The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0
Answers
Answer:
(4, 6 )
Step-by-step explanation:
Given the equations
x - y + 2 = 0 ( subtract - y + 2 from both sides )
x = y - 2 → (1)
2x + y - 14 = 0 → (2)
Substitute x = y - 2 into (2)
2(y - 2) + y - 14 = 0 ← distribute and simplify left side
2y - 4 + y - 14 = 0
3y - 18 = 0 ( add 18 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Substitute y = 6 into (1) for corresponding value of x
x = 6 - 2 = 4
solution is (4, 6 )
2x+6=3x+9-3 solve for x
Answers
Answer:
x=0
Step-by-step explanation:
2x-3x=9-3-6
-x=0
x=0
Answer:
x = 0
Step-by-step explanation:
Given
2x + 6 = 3x + 9 - 3 , that is
2x + 6 = 3x + 6 ( subtract 2x from both sides )
6 = x + 6 ( subtract 6 from both sides )
0 = x
In a large restaurant, an average of 3 out of every 5 customers ask for water with their meal. A random sample of 10 customers is selected. Find the probability that exactly 6 ask for water with their meal. Let X be the random variable that represents the number of these customers who ask for water.
Answers
Answer:
please mark me brainlist
Step-by-step explanation:
a) Let X be the random variable the number of customers asking for water.
X ~B(10,0.6)
= P(X = 6) =( 0.6)6 ( 0.4)4 10!/6 !*4!
= 0.2508
Y ~B(10,0.4)
= P(Y = 4)=( 0.6)6 ( 0.4)4 10!/6 !*4!
= 0.2508
The probability that exactly 6 ask for water with their meal is calculated by binomial distribution and the value is P ( x = 6 ) = 25.08 %
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability that exactly 6 ask for water with their meal be P ( x = 6 )
Now , an average of 3 out of every 5 customers ask for water with their meal
So , the probability of getting a success p = 3/5 = 0.6
The probability of getting a failure q = 1 - p = 0.4
The number of trials = 10
The number of successes x = 6
So ,
Probability that exactly 6 ask for water with their meal be P ( x = 6 ) is
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
Substituting the values in the equation , we get
P ( x = 6 ) = [ 10! / ( 4 )! 6! ] ( 0.6 )⁶( 0.4 )⁴
On simplifying the equation , we get
P ( x = 6 ) = 0.2508
P ( x = 6 ) = 25.08 %
Therefore, the value of P ( x = 6 ) is 25.08 %
Hence , probability that exactly 6 asks for water is 25.08 %
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ5
Very quick definition: What do you call the relation between two points that have one or more points in between them? For example, in a square ABCD, A and C would have B in between and in a pentagon VWXYZ, V and X would have W in between them and V and Y would have both W and X between. So basically like non consecutive points? Please tell me if I make no sense I honestly don't know how to word it :P
Answers
Answer:
Step-by-step explanation:
Well believe it or not, that is not a simple question. Just look at what you left us to define. Your talking (for example) about a square and wondering what the vertex of B is called (other than a vertex.)
I think vertex is the only thing you can call B. But then there's a problem. What do you call the points on a segment? ___________? There are endpoints, but what's between those endpoints? I think you would just give them letter names and call them points. A point is dimensionless and there an infinite number of them in a segment.
Phew!!!
pls help asap .........................
Answers
Answer:
40
Step-by-step explanation:
We can split this figure into two figures, a square and a trapezoid. The square, as shown has a side length of 4. That means that the area of the square is 16. The trapezoid, has base lengths of 2 and 4, and a height of 8. We can plug that into the area of a trapezoid formula:
[tex]\frac{2+4}{2}(8)[/tex]
Two plus 4 is 6, and 6 divided by 2 is 3. Three times 8 is 24.
24 plus 16 (the area of the square) is equal to 40, which is the area of the shape.
a b c or d? pls help out thx
Answers
Answer: I'm very sure the answer is B
Step-by-step explanation:
If the rocket is going straight up and it's measuring the height and time in seconds it should be at a slight curve but maintaining it's straight curve up making it a linear.
Please help
Solve the system of equations shown below.
Answers
Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
2x - 6y = - 12 → (1)
x + 2y = 14 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x - 4y = - 28 → (3)
Add (1) and (3) term by term to eliminate x
- 10y = - 40 ( divide both sides by - 10 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
2x - 6(4) = - 12
2x - 24 = - 12 ( add 24 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
solution is (6, 4 )
Rewrite the expression using positive exponents
1. 1/9x^-2y^-1
2. a^-5*a^-8
Answers
Answer:
Property : a^-b = 1/a^b
Using this property, we can rewrite the expression using positive exponents :
[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]
Solve for x.
3x + 2
2x + 6
x = [?]
Answers
Answer:
4
Step-by-step explanation:
Im assuming you mean the first and second equation equal each other:
3x+2=2x+6
x=4
express the ratio 7day to 6weeks as a decimal fraction
Answers
Answer:
6 weeks=6*7 days=42days
7/42 =1/6 =0.16667
OR
7 days=1 week
therefore 1/6=0.16667
Note that both must be in the same unit.
1. PLEASEE HELP!! Find the slant height of the cone
13 m
11 m
17 m
15 m
Answers
17 m
Step-by-step explanation:
I gotchu
First use Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
This method is going to tell us the slant height of the cone
Now since the diameter is 16, split it in half so b^2 would be 8
Now here remember your sides for using Pythagorean Theorem. a = 15, b = 8 and c = the slant height
15^2 + 8^2 = c^2
225 + 64 = c^2
c^2 = 289
c = 17
Therefore, the slant height of the cone is 17 m
A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°
Answers
Answer:
A
Step-by-step explanation:
convert 72° into grades.
Answers
Answer:
[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]
Can you please factor the problems below and explain/show all your steps. I will be attaching a photo with the problems as well in case they are more understandable on there. Also if you can please explain how you used the key concepts from the photo in your work if you used them.
Factor: 2a^3 + 4a^2 + 8a
Factor: 6y^4 - 294y^2
Factor: 5x^2 + 50x +125
Answers
---------------------------------------
To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.
---------------------------------------
Expression 1:
The expression is:
[tex]2a^3 + 4a^2 + 8a[/tex]
First, we find the gcf of the numbers 2, 4 and 8, which is 2.
Of the exponents, the gcf between 3, 2 and 1 is 1, so:
[tex]2a^3 + 4a^2 + 8a = 2a(\frac{2a^3}{2a} + \frac{4a^2}{2a} + \frac{8a}{2a}) = 2a(a^2 + 2a + 4)[/tex]
---------------------------------------
Expression 2:
The expression is:
[tex]6y^4 - 294y^2[/tex]
The gcf of 6 and 294 is 6.
The gcf of the exponents 2 and 4 is 4.
Thus:
[tex]6y^4 - 294y^2 = 6y^2(\frac{6y^4}{6y^2} - \frac{294y^2}{6y^2}) = 6y^2(y^2 - 49)[/tex]
Then, applying the difference of squares:
[tex]y^2 - 49 = (y - 7)(y + 7)[/tex]
Thus, the factored expression is:
[tex]6y^2(y^2 - 49) = 6y^2(y - 7)(y + 7)[/tex]
---------------------------------------
Expression 3:
The expression is:
[tex]5x^2 + 50x + 125[/tex]
The gcf of the coefficients, 5, 50 and 125 is 5, so:
[tex]5(\frac{5x^2}{5} + \frac{50x}{5} + \frac{125}{5}) = 5(x^2 + 10x + 25)[/tex]
Applying the perfect square, we get that:
[tex]x^2 + 10x + 25 = (x + 5)^2[/tex]
Tus, the factored expression is:
[tex]5(x^2 + 10x + 25) = 5(x+5)^2[/tex]
A similar question is given at https://brainly.com/question/11930822
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answers
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.if you have 500 dollars and spend 20 every week then what would be the slope explain
Answers
Answer:
y=-20m+500
Step-by-step explanation:
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
Sides = 3.2
Diagonals = 4.5
Shape = Square
Step-by-step explanation:
a) i) Distance from P to Q= 3.162278 which is approx 3.2.
So to calculate your answer you use the distance formula. The formula is the square root of (x2 - x1) + (y2 - y1).
So all sides of the shape have a length of 3.2 because the shape is a square.
DIAGONALS:
QS = 4.472136 approx 4.5
For:
(X1, Y1) = (-3, -2)
(X2, Y2) = (-1, 2)
We use the same formula for distance.
B) The shape is a square
I REALLY HOPE THIS HELPED
If you open an already created budget Excel spreadsheet, what is one feature it has when calculating amounts?
A) There isn't an already created budget Excel spreadsheet.
B) Formulas are already included that will calculate the totals for you.
C) You need to create formulas by yourself to calculate the totals.
D) You can use a calculator to add the numbers.
Answers
Formulas are already included that will calculate the totals for you.
PLEASE HELPP!!!!
Find the area.
A.530in²
B. 779in²
C.390in²
D.1060in²
Answers
Answer:
530in²
Step-by-step explanation:
Area of triangle(a)=1/2bh=1/2*40*26.5=530
lf y 1/4 · when x=5, find y when x=7. given that y varies directly with x.
y=
Answers
Answer:
y= 0.35
Step-by-step explanation:
y 1/4
when x=5,
find y=? when x=7.
given that y varies directly with x.
y = kx
Where k is the constant of proportionality
k= y/x
k= (1/4)÷ 5
k= 0.05
y= kx
y= (0.05)(7)
y= 0.35
I Hope this will helpful...
Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour
Answers
Answer:
37.5 miles
Step-by-step explanation:
Distance covered in 4 hours = 150 miles
Distance covered in 1 hour = 150/4 = 37.5 miles
