Move the sliders to set the values of r, h, and k, and record at least three different sets of data. Also record the equations of the corresponding circles.
Answers
Answer: Hope this helps! xx have a good day!
Step-by-step explanation:
The equations of the corresponding circles can be any equation only have to satisfy the general equation for circle .
What is general equation of circle?A circle is the set of all points in a plane at a given distance (called the radius ) from a given point (called the center.)
We know that the general equation for a circle is
[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex],
where ( h, k ) is the center and r is the radius.
According to the question
The equation of circle given is
[tex]x^{2} + y^{2} = 1[/tex]
Center at origin
i.e
(h,k) = (0,0)
and radius = 1 unit
Now ,
By changing changing center (h,k) and radius of equation it will give following equations
h k r equation of circle
0 1 3 [tex]( x - 0 )^2 + ( y - 1 )^2 = 3^2[/tex]
2 2 3 [tex]( x - 2 )^2 + ( y - 2)^2 = 3^2[/tex]
1 1 1 [tex]( x - 1 )^2 + ( y - 1 )^2 = 1^2[/tex]
-2 -1 2 [tex]( x +2 )^2 + ( y + 1 )^2 = 2^2[/tex]
3 2 1 [tex]( x - 3 )^2 + ( y - 2 )^2 = 1^2[/tex]
-5 1 3 [tex]( x +5 )^2 + ( y - 1 )^2 = 3^2[/tex]
Hence, the equations of the corresponding circles can be any equation only have to satisfy the general equation for circle .
To know more about general equation for a circle here:
https://brainly.com/question/10618691
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Related Questions
Which of the figures appear to be
congruent?
Answers
II and II
They are very similar.
Hope that helps:)
SOMEONE PLEASE EXPLAIN THIS TO ME
Answers
17.5 = x
Step-by-step explanation:
1st you add 85 and 55 since those to angles are congruent (means similar) to 8x
2nd you get 140 after adding then
3rd since the angles are congruent you just divide the 140 by 8 to get the value of x
Charles wanted to graph the amount of sugar (in teaspoons) used in cups of coffee at a schoolevent. He used the coffee and sugar usage table to make the graph below
( will give brainliest if you help)
Answers
Answer:
Its a
Step-by-step explanation:
a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are
Answers
= 10x^3 + 46x^2 - 21x - 27 / 2x^2 + 8x - 9
10x^3 / 2x^2 = 5x so the first term in the answer will be 5x
Factorise 3x⁴-4y⁴ completely
Answers
Answer:
Step-by-step explanation:
[tex]3x^4-4y^4\\=(\sqrt{3}x^2)^2-(2y^2)^2)\\=(\sqrt{3}x^2+2y^2)(\sqrt{3}x^2-2y^2)\\=(\sqrt{3} x^{2} +2y^{2} )((3^{\frac{1}{4} } x)^2-(\sqrt{2} y)^{2} )\\=(\sqrt{3} x^{2} +2y^{2} )(3^{\frac{1}{4} } x+\sqrt{2} y)(3^{\frac{1}{4} } x-\sqrt{2} y)[/tex]
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Both distributions are moderately skewed to the right. Suppose we take a simple random sample of 35 gas ranges and a second SRS of 40 electric ranges. Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
a. Mean = 1.6 years, standard deviation = 7.9 years, shape: moderately right-skewed.
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
c. Mean= 1.6 years, standard deviation = 0.92 years, shape: moderately right skewed.
d. Mean =1.6 years, standard deviation =0.40 years, shape: approximately Normal.
e. Mean =1.6 years, standard deviation =0.40 years, shape: moderately right skewed.
Answers
Answer:
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal Variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:
This means that:
[tex]\mu_G = 15[/tex]
[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]
The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:
This means that:
[tex]\mu_E = 13.4[/tex]
[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]
Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
Shape is approximately normal.
Mean:
[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]
Standard deviation:
[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]
So the correct answer is given by option b.
Bobby Hill is taking lady bird to the vet. The bill
is $72 dollars. Lady bird received 3 shots for
$12 each and had to take 2 pills for x amount
each. How much were each pill?
12 = 72 - 12
72 12x + 3x
72 = 36 + 2x
None of the above
Answers
Answer:
72= 36 + 2x
Step-by-step explanation:
1 shot= $12
3 shots= $12×3= $36
$72-$36= $36
2 pills= $36
1 pill= $36/2=$18
x= $18
72= 36 + (2×18)=
36 + 36= 72
24) Identify the binomials
a) 100
c) al-a+ba
b) x+y-xy
d) z2+z
Answers
Answer:
b
Step-by-step explanation:
Your well wisher
Hope it will be helpful
Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?
Answers
Answer:
Step-by-step explanation:
2 hours at the speed of 45 mph = 90 miles in 2 hours
He should drive 60 miles per hour to make his speed 60 mph.
Jessica is playing a game where there are 4 blue markers and 6 red markers in a box. She is going to pick 3
markers without replacement.
If she picks all 3 red markers, she will win a total of $500. If the first marker she picks is red but not all 3 markers
are red, she will win a total of $100. Under any other outcome, she will win $0.
What is the expected value of Jessica's winnings?
Round your answer to the nearest cent.
Answers
Answer:
The probability of Jessica picking 3 consecutive red markers is: (1/6)
The probability of Jessica's first marker being red, but not picking 3 consecutive red markers is:
(3/5)−(1/6)=(13/30)
So i am bit stuck here
what i think is it shouldn't be that complex it should be as simple as chance of Jessica's first marker being red=chance of getting red 1 time i.e P(First marker being red)=(6/10) can any explain me the probability of Jessica's first marker being red=(13/30)?
Step-by-step explanation:
Answer:
$126.67
Step-by-step explanation:
A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?
Answers
Answer:
[tex]\huge\boxed{\sf 168\ in.\²}[/tex]
Step-by-step explanation:
Surface area of the base:
= Length * Length
= 6 * 6
= 36 in.²
Surface Area of 1 Lateral Face:
= [tex]\sf \frac{1}{2} (Base * Height)[/tex]
Base = 6 inches
Height = 11 inches
= 1/2 (6*11)
= 3 * 11
= 33 in.²
Surface Area of 4 lateral faces:
= 33 * 4
= 132 in.²
Surface Area of the whole pyramid:
= 132 + 36
= 168 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
SA = 168 in.²
Step-by-step explanation:
The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.
s = side of the base
h = height of each side
SA = s² + 4(sh/2)
SA = (6 in.)² + 4(6 in.)(11 in.)/2
SA = 36 in.² + 132 in.²
SA = 168 in.²
Dina started swimming at 3:33 P.M. She swam until 4:31 P.M. How long did Dina swim?
Answers
Answer:
1 hour and 38 minutes
or 98 minutes
Step-by-step explanation:
subtract
4:31-3:31=98 minutes
98-60=38 minutes
= 1 hour and 38 minutes
or
+98 minutes
If a point on a coordinate plane is placed 5 lines to the right and 3 lines up, what would the ordered pair be?
Answers
Answer:
(5,3)
Step-by-step explanation:
Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend
Answers
Answer:
Quantity of cranberry juice = 95 ml
Quantity of orange juice = 95 ml
Step-by-step explanation:
Step 1
Given ,
We have 80% cranberry juice and 4% of orange juice.
We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.
Step 2
Let's assume
Quantity of cranberry juice =x ml
Quantity of orange juice =y ml
Then,
x + y = 190
and
x×80100 +y×4100 = 190×60100
⇒ 0.8x+0.4y = 114
⇒ 2x+y = 285
⇒ y = 285−2x
Step 3
Substituting y = 285−2x in x + y = 190
⇒ x+285−2x = 190
⇒ −x = 190−285
⇒ −x = −95
⇒ x = 95 ml
Substituting x = 95 in x + y = 190
⇒ 95 + y = 190
⇒ y = 190−95
⇒ y = 95 ml
So,
Quantity of cranberry juice =95 ml
Quantity of orange juice = 95 ml
does 5+4=8 and does 1+1=2
Answers
Answer:
5+4=9
and the second one is right
Step-by-step explanation:
;)
Answer:
the first one is incorrect but the second one is correct!
Step-by-step explanation:
5 + 4 = 9
if you have 5 apples and you want to add 4 more
5 + 1 + 1 + 1 + 1 = 9
Solve for n
56 = -4n
a. 60
b. -4
c. -14
d. 224
Answers
PLEASE HELP ME WITH THIS MATH PROBLEM
w−15=−4
Answers
Answer:
w = 11
Step-by-step explanation:
add 15 to each side of the equation
w = 15 + (-4)
w = 11
Answer: w=11
Step-by-step explanation:
Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answers
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
A recipe for slime calls for 1/2 cup water and 1/4 cup glue. what is the total amount of liquid need to the recipe?
Answers
Answer:
3/4 is the answer.
what is the domain of the function y=2 square root x-6
Answers
Answer:
6 ≤ x < ∞
Step-by-step explanation:
interval notation: [6, ∞)
set builder notation: {x|x ≥ 6}
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answers
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
use elimination metho to solve the system of equations
Answers
Answer:
There are infinitely many solutions.
Step-by-step explanation:
3x + 2y = 7
-9x - 6y = -21
Now multiply the first equation by 3
3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation
9x + 6y - 9x - 6y = 21 - 21
0 = 0
The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.
What is the area of the triangle?
16
8
10
Answers
Answer:
64
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
36 = b²
6 = b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(6 x 8)
1/2(48)
24
Calculate the area of the bigger triangle:
We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.
1/2(bxh)
1/2(10 x 8)
1/2(80)
40
Add both areas to find the area of the largest triangle:
40 + 24 = 64
A restaurant is offering 15 percent off beverages. The check is $90.00 with the beverage total being $15.00. What is the check total after the discount ?
A 77.75
B 76.50
C.75.00
D.87.75
Answers
b because 90
15
15
-_____
76.50
Which set of numbers may represent the sides of a triangle
A: {2,5,9}
B: {6,6,7}
C {6,4,2}
D {7,8,1}
Answers
Answer:
C.(6, 4,2)
since every element of B is also an even number,so is an element of C
5. What is the volume of the right triangular prism?
12 m
A. 64 m
B. 128 m
C. 192 m®
D. 384 m
4 m
8 m
Answers
V = 0.5 • 12 • 8 • 4 = 192
6. G
V = (1/3) 6x^2 • 6 • 8 = 96x^2
sqrt x^7 ...........
Answers
Answer:
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
Step-by-step explanation:
An easier way to approach this is to separate the inside first.
[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]
Now you can group together pairs of 2, and they come out as one.
[tex]x*x*x\sqrt{x}[/tex]
Multiply all the xs on the outside, and you get
[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]
The difference of a number and 8 is -15
Answers
Answer:
-7
Step-by-step explanation:
x-8=-15
x=-7
Ahmed buys a house for £179500
A year later he sells the house for £190 270
Calculate the percentage profit Ahmed makes.
I
Total mar
Answers
Answer: 6% of profit
Step-by-step explanation:
Find the % of profit
179 500 / 190 270 ≈ 0,94 = 94 %
100% - 94% = 6%
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2cm.
The prism is filled with cubes that have edge lengths of 1/2 cm.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
Answers
Answer:
560 cubes
Step-by-step explanation:
Volume of prism: lwh, 7*4*2.5, 70cm!
Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!
70cm/0.125cm=560 cubes.
Answer:
560 cubes
Step-by-step explanation:
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes