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
what is the first step in evacuating the expression below
Answer:
adding 4 +2
Step-by-step explanation:
in parenthesis
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
The Williams family bought four concert tickets for $252. What was the price per
ticket?
Answer:
$63
Step-by-step explanation:
$252 ÷ 4 = $63
Answer:
Step-by-step explanation:
The family bought 4 tickets
The total cost is $252
So that means you have to divide $252 by the number
of tickets bought which is 4
$252÷4=$63
Answer: Each ticket cost $63
Can I please get help!!
Just answer the questions please
Calculate the surface area.
Thank you for the help
i will mark brainiest
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 659.7 yd^2
I hope this helped!
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I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?
Answer:
Volume of replica = 625 cubic inches
Step-by-step explanation:
Height of the gold statue = 80 inches
Volume of the gold statue = 320 cubic inches
Height of the replica = 100 inches
Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]
= [tex]\frac{100}{80}[/tex]
= 1.25
Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]
Since, volume scale factor = (Dimensional scale factor)³
[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]
Volume of replica = (1.25)³ × Volume of original statue
= (1.25)³ × 320
= 625 cubic inches
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
Find the average value of the function y = 2x4 over the interval [- 2,2].
Answer:
ave. val. = -------------- = 0
Step-by-step explanation:
That's y = 2x^4 (the ^ symbol indicates exponentiation).
The average value of a function f(x) over the interval [a, b] is
f(b) - f(a)
ave. val. = ----------------
b - a
Here a = -2, b = 2 and f(x) = 2x^4. Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and
the average value is:
32 - 32
ave. val. = -------------- = 0
2 - (-2)
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
Please answer the question above.
Answer:113
Step-by-step explanation:
Plsss help
I’ll mark u brainlest plssss helpp
Answer:
x = 93 degrees
Step-by-step explanation:
Answer:
x= 93°
Step-by-step explanation:
the angles are corresponding angles
this means they have the same angle measure.
the bottom one is 93° so that means the other one is 93° as well.
please help me I'm really behind
Answer:
50.24
Step-by-step explanation:
4 = radius
To get the diameter you need to multiply the radius by two 4 x 4 = 16 use 3.14 = 3.14 x 16 = 50.24 THERE IS THE ANSWER!!!!
Catch up btw
Answer:
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Can anyone help me with this problem?
hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
What is the value of x?
Answer:
63 degrees
Step-by-step explanation:
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.
Answer:
7 dimes and 5 nickles
Step-by-step explanation:
7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95
Solve the equation for d.
0.2d+3.14=5.06
What is the value of d that correctly solves the equation?
Enter your answer as a number with one decimal place, like this: 4.2
Do not round your answer.
Answer:
d=9.6
Step-by-step explanation:
0.2d+3.14=5.06
- 3.14
_________________
1.92
0.2d=1.92
1.92/0.2= 9.6
If a=3 and b=7, find the value of
5a
Answer: 15
Step-by-step explanation: All the information you need is a=3
5a is the same as saying 5xa or 5x3, so there you have it- 15
Hope this helps <3
True or False: {5, 6, 7...10) is an example of an infinite set.
ABC is isosceles AC=20 and BC= 3x-7
Answer:
x=9
Step-by-step explanation:
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
Figure out $27 x 4 = n.
Answer:
$108
Step-by-step explanation:
20x4 = 80
7x 4 = 28
80+28 = 108
A TEAMS TOP SPEED FOR EACH LEG OF THE RACE IS 56.81 SECONDS, 59.22 SECONDS ,57.39 AND 60.1 WHAT IS THE BEST TIME
Answer:
56.81 SECONDS
Step-by-step explanation:
The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS
Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)
Answer:
A. 6(1+2x)
Step-by-step explanation:
we take 6 as Common factor out of the equation
Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.
I have a test tmrw pls help
So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:
y-6=2.5(x-3)
y-6=2.5x-7.5
-2.5x+y=1.5
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?