Create the equation of a circle that has a center at (1,3) and a radius of 4 units.
The equation of the circle centered at (1, 3) with a radius of 4 units is:
(x - 1)^2 + (y - 3)^2 = 16
How to write the equation of a circle?For a circle with the center on the point (a, b) and radius R, the equation is:
(x- a)^2 + (y - b)^2 = R^2
In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.
(x - 1)^2 + (y - 3)^2 = 4^2
(x - 1)^2 + (y - 3)^2 = 16
If you want to learn more about circles, you can read:
https://brainly.com/question/14283575
please help as soon as possible
Answer:
D, E
Step-by-step explanation:
In the table, r = 3p, and by converse, p = 1/3r. These options are D and E
Answer:
This is not college level stuff.
But the answer is D. r = 3p and E. p =r/3
Step-by-step explanation:
As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.
Determine whether AB¯¯¯¯¯¯¯¯
A
B
¯
is a diameter of the circle. Explain your reasoning.
Answer: D
Step-by-step explanation:
The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.
When 58,511 is divided by 21, the quotient is 2,786 R ___.
Numerical Answers Expected!
Answer for Blank
If you take the answer, 2786 and multiple by 21
You get 58,506
Which if you subtract from 58,511 you would get 5
Which is r
Please help!!!
What is the value of y?
60
45
2V2
Enter your answer, as an exact value in the box
y =
Answer:
Step-by-step explanation:
Ratio of sides of 45-45-90 triangle = x : x : x√2
x√2 is the side opposite to angle 90
So, from the picture,
x√2 = 2√2
x = [tex]\frac{2\sqrt{2}}{\sqrt{2}}[/tex]
x = 2
Ratio of sides of 30-60-90 tirangle = a : 2a : a√3
Short side that is oppoiste to 30° = a
Side opposite to 60° = a√3
Hypotenuse (oppoiste to 90°) = 2a
a = 2
y =a√3
y = 2√3
Write an algebraic expression for the following: 17 more than a number.
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Let the number be x
Then,the algebraic expression formed is
[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]
It states that you need to write it as 17 more than x This means 17 added on to x .[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
x+17
Explanation:
Adding more characters. 'A number is x variable, add 17.. x+17
I did half the answer but what is e= ?
Answer:
See below.
Step-by-step explanation:
e=12c+6
e=12(1)+6
e=12+6
e=18
e=12(2)+6
e=24+6
e=30
e=12(3)+6
e=36+6
e=42
e=12(4)+6
e=48+6
e=54
-hope it helps
what value makes 3k– 6 < 12 true?
Answer: Any number smaller than 6
3k - 6 < 12
(Add six to both sides)
= 3k < 18
(Divide by 3 on both sides)
= k < 6
Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.
i need help pleasse
third time posting this question pls help. it's 7 grade maths.pls help i need it I give brainlist
Answer:
Step-by-step explanation:
7) m + 6 > 17
m > 17- 6
8. 500 + p > 1500
9. Let cost of pencil be 'x' and it is 5 less than y
x < y -5
Cost of pencil and ruler is less than $ 30.
x + y < 30
10. r + 5 > 17
r > 17 - 5
r > 12
12.She is spending $ x. So, we have to subtract from $10.
10 -x < 5
Write an equation for the graph below in terms of x
Y=
Use interval notation to express the following: The set of all numbers less than or equal to −5.
Answer:
(- infinitysymbol,-5]
see image.
Step-by-step explanation:
Interval notation uses parenthesis or square brackets in the format:
( or [ begin , end )or]
Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"
see image.
There are caterpillars in two greenhouses. Greenhouse A has 4 times the number of caterpillars Greenhouse B has. A bird came into the two greenhouses and devoured many caterpillars. After the bird ate 41 caterpillars in Greenhouse A and 5 caterpillars in Greenhouse B, both greenhouses have the same number of caterpillars. How many caterpillars did Greenhouse A have in the first place?
there will be your 1000 caterpillars
Answer:
12
Step-by-step explanation:
4a = b and A-41=b-5
a-41+5=b
a-36 =b
which means a+36 =4a
so 3a=36 and a=12
what is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11
How many squares with a side of 3 cm can fit in a 12 cm by 3 cm rectangle
Answer:
4 squares
Step-by-step explanation:
If the rectangle is only 3 cm wide, only one square will be able to fit in a row. Since the square is 12 cm long, 4 squares can fit. This can be found by 12/3 which = 4
which is a better value? 1 pound of apples for 2.15 or 3 pounds of apples for 5.76
Answer:
From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.
Step-by-step explanation:
Sorry if none of these answers have helped you.
Answer:
The 2nd offer - 3 pounds of apples for 5.76
Step-by-step explanation:
1. Find the unit price for the 1st offer.
The unit price is 1 pound of apples for $2.15. <-- given information
2. Find the unit price for the 2nd offer.
We can set up a proportion to find the unit price.
3 pounds / $5.76 = 1 pound / $x
Let x = how much 1 pound of apples are for the 2nd offer
Cross multiply
3 · x = 5.76 · 1
Simplify
3x = 5.76
Divide both sides by 3 to isolate x
x = 1.92 = $1.92 for a pound of apples (2nd offer)
3. Compare the two offers' unit prices.
$2.15 <-- 1st offer
$1.92 <-- 2nd offer
The second offer is the better value because it costs less for each pound of apple.
I hope this helps and please mark me as brainliest!
Find the value of x.
Answer:x.
Step-by-step explanation:
The following list gives the number of pets for each of 14 students.
2
,
0
,
2
,
4
,
4
,
4
,
3
,
2
,
3
,
4
,
1
,
3
,
3
,
2
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
2,3,4
Step-by-step explanation:
Given data:
2,0,2,4,4,4,3,2,3,4,1,3,3,2
Solution:
Mode = Most often number
There are
4 = two's
1 = zero's
4 = four's
4 = Three's
1 = ones's
Hence the mode is:
2,3,4
~lenvy~
I need help with Biased vs Unbiased
Answer:
13 a) 12% prefer pumpkin pie
b) 6.4% prefer pumpkin pie
c) 80% did NOT prefer raspberry pie
d) 235 people would be expected to say that their favorite pie is apple
or blueberry.
14 a) 20% prefer Marlin
b) 12% prefer Dolphins
c) 48.33% prefer seahawks or sharks as their mascot.
d) 116 students would be expected to say that their favorite mascot is a
Penguin.
15 a) 20% prefer Science fiction
b) 46 people would be expected to report mystery as their favorite
genre.
c) 810 people would be expected to report drama, history, or romance
as their favorite genre.
Step-by-step explanation:
13. *There are a total of 125 participants or customers.*
35 people prefer apple pie15 people prefer pumpkin pie.8 people prefer pecan pie.28 people prefer cherry pie.25 people prefer raspberry pie.14 people prefer blueberry pie.a) 15/125 = 0.12 = 12%
12% prefer pumpkin pie
b) 8/125 = 0.064 = 6.4%
6.4% prefer pumpkin pie
c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.
100/125 = 0.8 = 80%
80% did NOT prefer raspberry pie
d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?
Apple: 35/125 = 0.28 = 28%
Blueberry: 14/125 = 0.112 = 11.2%
If there were 600 people:
Apple: 600*0.28 = 168
Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a
person, so it's rounded to 67)
168 + 67 = 235
235 people would be expected to say that their favorite pie is apple or blueberry.
14. *There are a total of 60 students.*
5 people prefer Penguins.12 people prefer Marlins.9 people prefer Seahawks.14 people prefer Dolphins.20 people prefer Sharks.a) 12/60 = 0.2 = 20%
20% prefer Marlin
b) 14/60 = 0.12 = 12%
12% prefer Dolphins
c) Seahawks: 9/60 = 0.15 = 15%
Sharks: 20/60 = 0.33 = 33.33%%
15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.
d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.
Penguins: 5/60 = 0.083 = 8.33%
If there were 1,400 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a
person, so it's rounded to 116)
116 students would be expected to say that their favorite mascot is a Penguin.
15. *There are a total of 75 people.*
8 people prefer Action.4 people prefer Comedy.16 people prefer Drama.7 people prefer Mystery.10 people prefer Romance6 people prefer Science fiction3 people prefer Biography12 people prefer History9 people prefer Othera) 6/75 = 0.2 = 20%
20% prefer Science fiction
b) Out of 500 people, how many would you expect to report mystery as their favorite genre?
Mystery: 7/75 = 0.093 = 9.3%
If there were 500 people:
Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a
person, so it's rounded to 46)
46 people would be expected to report mystery as their favorite genre.
c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?
Drama: 16/75 = 0.2133= 21.33%
History: 12/75 = 0.16 = 16%
Romance: 10/75 = 0.1333 = 13.33%
If there were 1,600 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a
person, so it's rounded to 116)
Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a
person, so it's rounded to 341)
History: 1,600*0.16 = 256
Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a
person, so it's rounded to 213)
341 + 256 + 213 = 810
810 people would be expected to report drama, history, or romance as their favorite genre.
Hope this helps!
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Answer:
(There's actually a few ways of solving this, but here's one)
Multiplying the second equation by 2.
EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.
(multiplying the second equation by -2 is the actual answer, my apologies)
Step-by-step explanation:
So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.
In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.
If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.
This is helpful because when you subtract this from the first one, you eliminate x.
4x + y = 4
-(4x + 12y = 48)
is
-11y = -44
What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ? (−4, 18) (0, -2) (-8, -2) (−4, −18)
Answer:
(−4, −18)
Step-by-step explanation:
f(x) = x^2 + 8x - 2
⇒ CONVERT TO VERTEX FORM
≥ f(x) = (x + 4)^2 - 16 - 2
≥ f(x) = (x + 4)^2 - 18
⇒ VERTEX IS AT:
≅ ((−4, −18))
Answer:
The answer is D......
Step-by-step explanation:
Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °
Answer:
O 21 your ita not correct
Trey will attend a -year college, and he is planning his budget.
Answer the following.
(a) Below is an estimate of all his expenses and sources of funding for his -year college education.
For each, select whether it is an expense or a source of funding.
Expense Funding
Scholarships:
Grants:
Housing and food:
Work-study (part-time job):
Personal expenses:
Transportation:
Tuition and fees:
Books and supplies:
(b) What is the total of his estimated expenses?
(c) What is the total of his estimated funding?
(d) Can Trey expect to have enough money for his education? How much is the difference?
The examples of funding include scholarship, grants, part time job, etc.
What is funding?Your information is incomplete as the values aren't given. Therefore, an overview will be given.
The funding are needed to cater for school fees and other necessary fees. They include scholarship, grants, and part time job.
The expenses are books, transportation, housing, books, and food.
Learn more about funding on:
https://brainly.com/question/25887038
Bob swam a total of 250 meters on Monday and Tuesday. On Tuesday, the numbers of meters he swam was 30 less than 3 times the amount he swam on Monday. How many meters did Bob swim on Monday?
Answer:
Bob swam 70 meters on Monday
Step-by-step explanation:
Let x = Meters swam on Monday
and y = Meters swam on Tuesday
x + y = 250
y = 250 - x
y = 3x - 30
250 - x = 3x - 30
4x = 280
x = 70
y = 180
Hi can someone may help me with this problem I'm struggling with
ASSP
Answer:
see attached
cost = 33
Step-by-step explanation:
Kruskal's Algorithm is a "greedy" algorithm that adds the next minimum-weight edge to the tree, provided that it does not create a loop.
__
The minimum-weight edge in the graph is DF, with weight 1.
The next minimum-weight edge is GH, with weight 2.
The next minimum-weight edge is AB, with weight 3.
The next minimum-weight edge is EF, with weight 4.
Edge DE is the next lowest-weight, but it creates a loop (DEF), so we ignore it.
BC is the next edge we'll add to our tree.
FG is the next edge we'll add to the tree.
Edge DG creates a loop, so we ignore it.
Edge FH creates a loop, so we ignore it.
CF is the next edge we'll add to the tree. This completes the minimum spanning tree using Kruskal's Algorithm.
Included edges are AB, BC, CF, DF, EF, GF, GH.
The cost of the tree is 3+6+10+1+4+7+2 = 33.
Composing ________________ is another way to compose two functions
Answer:
is there any options or answers I could see?
I need help...you will be mark brainliest if it's right ty
Answer:
Median: 5
Interquartile range: 4
Have an amazing day!
Please rate and mark brainliest!!
what is the difference of 21 1/4 - 18 2/4
Answer: Difference between 21 1/4 - 18 2/4 =2 3/4
Step-by-step explanation:
pls i need help asap
what's the area of this figure?
Answer:
35
area of traingle b xh/2 5x4/2 - 10
area of square lxl - 5x5 -25
add- 35
Answer:
The answer would be 35.
Step-by-step explanation:
The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps