Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?
Answer:
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Step-by-step explanation:
We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:
[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)
Where:
[tex]T(x,y)[/tex] - Translation vector.
[tex]A(x,y)[/tex] - Location of the center of the circle A.
[tex]B(x,y)[/tex] - Location of the center of the circle B.
If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:
[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]
[tex]T(x,y) = (2,4)[/tex]
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Answer:
Step-by-step explanation:D
Pls I need help thank you
Answer:
angle FGJ and angle KJG
hope it helps
2.95___2.949 which is greater
Answer:
Step-by-step explanation:
Put them in your calculator. I think you'll find 2.95 is larger by 0.001
Do it like this 2.95 - 2.949 = 0.001
Hellohello, if you able to help me then please do. (:
Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
Which expressions are equivalent to the given expression?
y^-8y^3x^0x^-2
1.) x^-2y^-5
2.) 1/y^24
3.) x^2y^-11
4.) x^2/y^11
5.) y^-24
6.) 1/x^2y^5
I hope this makes sense but I don’t understand it
Answer:
can u in some way better write down the expression so i can solve..? :)
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
John ate three hot dogs at a hot dog eating contest in 45 seconds. How many hot dogs
should he be able to eat in the 5 minute contest limit?
show work
Answer:
5÷0.45=11.1
11x3=33
Step-by-step explanation:
300/45=6.67x3=20
He would be able to eat 20 hot dogs
Four friends order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below.
Matthew eats 0.8 of a pizza
3
Lily eats 1/4 of a pizza
George eats 77 % of a pizza
Sam eats 82% of a pizza
Which person eats the most pizza?
Answer:
Sam
Step-by-step explanation:
Mathew: 0.8 = 80%
Lily: 1/4 = 25%
George: 77%
Sam: 82%
Law of Sines: Homework please help
Answer:
37+12 =49_218+54=4554472287/41
The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.)
Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
[tex]y = 11 + x[/tex]
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
[tex]y^2 = x^2 + x^2[/tex]
[tex]y^2 = 2x^2[/tex]
This gives:
[tex](11+x)^2 = 2x^2[/tex]
Open bracket
[tex]121 + 22x + x^2= 2x^2[/tex]
Collect like terms
[tex]2x^2 - x^2 -22x - 121 = 0[/tex]
[tex]x^2 -22x - 121 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]
[tex]x = \frac{22\±31.11}{2}[/tex]
Split
[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]
[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]
x can not be negative.
So:
[tex]x = \frac{53.11}{2}[/tex]
[tex]x = 26.56[/tex]
Recall that:
[tex]y = 11 + x[/tex]
[tex]y = 11 + 26.56[/tex]
[tex]y = 37.56[/tex]
Hence, the dimensions are:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)
P = _____ (1 - ____ ) t
Answer: P=2300 (1- 0.05)^x
Step-by-step explanation:
what's the value of y
[tex]y = \frac{64}{ {2}^{2} } [/tex]
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
What two numbers have a sum of 215 and a difference of 137
Answer:
see below
Step-by-step explanation:
let x = big number
let you = small number
x + y = 215-------> (1)
x - y = 137 ------>(2)
(1)
x = 215 - y ----->(1)
substitute 1 into 2
215 - y -y = 137
-2 y = 78
y = 39
substitute y = 39 into (1)
x = 215 - (39)
x = 176
thus the numbers are 176 & 39
hope this helps
please mark it brainliest
it took me quite long to do this
Find the greatest common factor of 14 and 28
Brianna loves to compete in triathlons. At a race a few months ago, she finished in 360 minutes. At a race yesterday, she took 30% more time to finish. What was her time at yesterday's race?
Answer:
468 minutes
Step-by-step explanation:
Given data
At a race a few months ago, she finished in 360 minutes
let us find 30% of 360 minutes
=30/100*360
=0.3*360
=108 minutes
Hence she finished with an added time of 108minutes
Therefore, in all she finished in
=108+360
=468 minutes
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
13916.6m^3
Step-by-step explanation:
Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.
The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.
How to explain the equationThe formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:
B = T/39
This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.
Learn more about equations on
https://brainly.com/question/2972832
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WILL GIVE BRAINLIEST AND 5 STAR PLS HELP
Answer:
The answer is D
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.
Question isn't well formatted and seems incomplete :
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.
Answer:
Step-by-step explanation:
Given that:
Number of trucks = 3
Number of bags each truck can hold = 3
Weight per bag = 200 pounds
Amount of in each truck :
Weight per bag * number of bags
200 * 3 = 600 pounds
Which is 600 pounds per truck
Total pounds carried by the trucks :
600 pounds * 3 = 1800 pounds
What is the value of the expression: 2/10 ÷ 5/4?
1/50
4/10
8/50
1/2
Answer:
8/50
Step-by-step explanation:
2/10 x 4/5 = 8/50
Hope that helps!
Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
Which of the following points is in the solution set of y>-x² + 5?
A. (0,5)
B. (1,3)
C. (2,4)
The diagonals of the figure below represent the support beams for a patio covering.
B
E
30°
10 yards
M
A
What is the length of each support beam?
o 10 yards and 10x/3 yards
O 5 yards and 53 yards
O 10 yards and 5 yards
O 15 yards and 5 yards
Answer:B
Step-by-step explanation:
Took the test
Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
(10pts) find all the solutions to the equations.
Determine which of the graphs represent the proportional relationships. Circle the appropriate response.
The diameter of a circle is 5 inches. Find the length of its radius. Answer: inches.