Write the equation for the larger circle shown in the figure.
Write the equation for the smaller circle shown in the figure.
Answers
Answer:
See below for answers
Step-by-step explanation:
Given equation of the horizontal ellipse: [tex]\frac{x^{2}}{64}+\frac{y^{2}}{16}=1[/tex]
Standard form: [tex]\frac{x^{2}}{a^{2} }+\frac{y^{2}}{b^{2} }=1[/tex]
Values of a and b: [tex]\frac{x^{2}}{8^{2} }+\frac{y^{2}}{4^{2} }=1[/tex]
Therefore, the radius of the bigger circle is a=r=8 (half the length of the major axis) and the radius of the smaller circle is b=r=4 (half the length of the minor axis).
Given the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], then:
The equation for the larger circle is [tex]x^{2} +y^{2} =8^{2}[/tex]
The equation for the smaller circle is [tex]x^{2} +y^{2} =4^{2}[/tex]
Related Questions
Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch
Answers
Answer:
Following are the responses to the given question.
Step-by-step explanation:
In this question, the points values are missing which is why its solution can be defined as follows:
Let
[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]
Formula:
[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]
For d1:
[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]
[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]
[tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]
For d2:
[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]
[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]
[tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]
The first distance value is greater than the second distance value.
Find measure of angle WZY.
Answers
Answer:
the answer is 4
Step-by-step explanation:
8x-1=5x+11
3x=12
x=4
Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.
Answers
Answer:
k = 6.5
Step-by-step explanation:
The question relates to the association of the association of the equation of a graph point(s) on the graph
The given equation of the graph, is y = 2·x + c
The value of 'c' is a constant
We note that the value of 'c' can be found when x = 0, as follows;
y = 2·x + c = 2 × 0 + c = c
∴ When x = 0, y = c
From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3
Therefore;
When x = 0, y = -3 = c
∴ c = -3
The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3
y = 2·x - 3
The other given point on the graph is the point (k, 10)
The value k is the x-value when y = 10
Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;
10 = 2·x - 3
2·x = 13
x = 13/2 = 6.5
x = 6.5 (when y = 10)
Therefore the point (k, 10) = (6.5, 10)
By comparing the two equal coordinates, we have;
k = 6.5.
suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio
Answers
Answer:
140
Step-by-step explanation:
If a1=10 and an An-1 + 4 then find the value of
05.
Answers
Answer:
26
Step-by-step explanation:
Just put n = 5 and substitute
Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answers
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты
Answers
Answer:
I do not understand ummmm
Help needed for some geometry
Answers
Answer:
hope this help you. look it once.
The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: μ ≥ 220 vs. H1: μ < 220 b. H0: μ ≤ 220 vs. H1: μ > 220 c. H0: μ = 220 vs. H1: μ ≠ 220 a b c (b) Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.) Test statistic (c) At the 5 percent level of significance (α = .05), does the sample contradict the manufacturer’s claim? H0. The sample the manufacturer’s claim. (d-1) Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.) The p-value is . It is than the significance level of 0.05. (d-2) Did you come to the same conclusion as you did in part (c)? Yes No
Answers
Answer:
Follows are the responses to this question:
Step-by-step explanation:
[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]
0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262
When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].
[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]
In point c:
It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim
In point d:
For point 1:
The value of p is 0.1880 , that is higher than the 0.05
For point 2:
Yes
6 times the dierence of d and 5
Answers
Answer:
6(d - 5)
Step-by-step explanation:
The difference of d and 5 represents (d - 5)
Multiply that by 6 to get 6(d - 5)
I need help asap !!!!
Answers
Answer:
C
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
Answer:
C.
Step-by-step explanation:
Pythagrean Theorem is on C
the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan
Answers
12cm
have an amazing day <3
Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?
Answers
Answer:
5062043
Step-by-step explanation:
add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer
Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.
Give your ratio in its simplest form.
Answers
Answer:
1,260:280
or
1,260 to 280
or
1,260/280 Simplified → 4 1/2
Step-by-step explanation:
Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answers
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use
Answers
Answer: They were able to use 665 pencils
Step-by-step explanation: You would simply do 8,454 - 1,789=665
Give Brainliest please :)
given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
Answers
Answer:
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
Step-by-step explanation:
Based on 2x - 9y - 12 = 0
-9y = 12 - 2x
9y = -12 + 2x
y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]
Therefore...
5x - 4y + 7 = 0
5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0
5x + [tex]5\frac{1}{3}[/tex] - [tex]\frac{8}{9} x[/tex] + 7 = 0
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.
Answers
Answer:
3 x 1 and 8 x 1/10
Step-by-step explanation:
Please help. I will give brainliest.
Answers
Answer:
e
Step-by-step explanation:
since the triangle is
a.right
b.isosceles
c.equilateral
Answers
Step-by-step explanation:
plz write full question
Answer:
I need a more information
Step-by-step explanation:
It’s lines please help me
Answers
Answer: maybe line C, i dont know
Step-by-step explanation:
A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.
Answers
Calculate the side length of the enlarged picture
Answer:
Hence, final picture will have a side length of 1.02 foot
Step-by-step explanation:
Side length of square photo, s = 0.17
Original dimension = (0.17 by 0.17)
Enlarged photo = double the original dimension:
2 * (0.17 * 0.17)
(0.34 * 0.34)
Second enlargement = Tripling the new dimension:
3 * (0.34 * 0.34)
(1.02 * 1.02)
Hence, final enlarged dimension = (1.02 * 1.02)
Hence, final picture will have a side length of 1.02 foot
Solve the inequality 4x -5 greater than or equal to 7
Answers
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
see explanation
Step-by-step explanation:
j - 4 ≤ 0 ( add 4 to both sides )
j ≤ 4
The graph has a closed circle at 4 on the number line with the arrow pointing left
pls help me first of all how do you add a photo?
Answers
Answer:
there should be a "paper clip" sign
Step-by-step explanation:
then go to it click it and pick or take a photo
A sum of 7
Probability:
Answers
Answer:
7,5,3,1,8,6,4,2,9
Step-by-step explanation:
Geraniums are $2.95 each. How much will 5 plants cost? (include 7% sales tax.)
Answers
5k(k-9)=0 solve for k
Answers
Step-by-step explanation:
5k²-45= 0
5k²= 0 +45
k²= 45/5
k²= 9
or
k = 9/2 = 4.5
answer this question for 30 points and brainilest
Answers
Answer:
Volume of left side cylinder will be less than the volume of right side cylinder.
Step-by-step explanation:
Volume of a cylinder is given by the formula,
Volume = πr²h
Here, r = radius of the circular base
h = Height of the cylinder
Volume of the left hand cylinder = π(b)²a
Volume of the right hand cylinder = π(a)²b
It's given in the question that a > b
Let the value of a = 3 and b = 2
Then the volume of left hand cylinder = π(2)²(3)
= 12π
Similarly, volume of right hand cylinder = π(3)²(2)
= 18π
Therefore, volume of left side cylinder will be less than the volume of right side cylinder.
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.
Answers
Answer:
First one i think is C and the second one is A it was easy
Step-by-step explanation:
