Write the standard equation of the circle with the center (-14,-5) that passes through the point (-7,5).
Answers
equation: (x + 14)² + (y + 5)² = 149
Given:
centre : (-14,-5)point (-7,5)=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Find the radius:
[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]
[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]
[tex]\sf \rightarrow \sqrt{149}[/tex]
Equation of circle:
(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149Graph for clarification:
Answer:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]
[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]
Now substitute the point (-7, 5) into the equation to find r²:
[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]
[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]
[tex]\sf \implies 149=r^2[/tex]
Final equation:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Related Questions
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answers
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
Just answer
1 + 23 =
i give you 100 pts
I quit
Answers
hmm a tough one ima go with 24
Find the area
(Please)
Give explanation
Answers
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
A = 960 cm²
BRANLIEST please if this helps!From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
Answers
Check the picture below.
State six ordered pairs for this function
f(x)=.5x+3
Answers
(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.
(1,8)
(2,13)
(3,18)
(4,23)
(5,28)
SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER
Answers
Answer:
$38.1 billion
Step-by-step explanation:
S - 1.5x = 5.1
x = 2020 - 1998
x = 22 years
S - 1.5(22) = 5.1
S = 5.1 + 33
S = 38.1
I hope this helps!
Answer:
38.1 billion dollars.
Step-by-step explanation:
2020 - 1998 = 22 years, so
S - 1.5(22) = 5.1
S = 5.1 + 1.5(22)
S = 5.1 + 33
= 38.1.
The equation x2 + 4y2 = 36 represents which conic section?
ellipse
circle
hyperbola
parabola
Answers
Answer: The answer is ellipse
Find the slope of the line (2,-3) (4,-7)
Answers
Use the slope formula:-
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A bookstore has 120 science fiction books. It has 30% fewer mysteries than science
fiction books. It has 25% more biographies than mysteries. How many biographies
are in the bookstore? Show your work.
Answers
Answer:
105
Step-by-step explanation:
Explanation is in photo
I need help ASAP or im going to fail
Answers
Answer:
45
Step-by-step explanation:
Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.
Also given that:
Student tickets: $6
Non-Student tickets : $12
Parking : $9
Thus,
Non- Student tickets:$ 12 (Parents and grandmother are not students)
Parking: $9 ( Since they attend a soccer game they need somewhere to park)
Parents = 2 person (Mom and Dad)
Grandmother = 1 person
1 + 2 = 3
Now,
Since Non-student tickets = $12
3 * 12 +9
36 + 9
45
Hence, the family spend $45 to attend the game.
~lenvy~
Simplify the expression with nested parentheses.
4 30+ 26+6 −33
Answers
Answer:
not sure if the 4 is seperate but if it is then (30+26)+(6-33)
Step-by-step explanation:
can someone help me with this please
Answers
perspective
I hope this helps you
:)
40 points for this question!!!
Answers
Answer:
Never
Step-by-step explanation:
It should be never since as the value of x increases, so does y.
If the y value increases as x increases, the function is said to be increasing.
If the y value decreases as x increases, the function is said to be decreasing.
What is the limit on the number of members in a limited liability company? There is no limit to the number of members in a limited liability company.
Answers
A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2
Answers
Answer:
1,090
Step-by-step explanation:
i kneed help
Which of the following is an example of symbolism in a political communication?
A campaign ad that uses the American flag to show the candidate is patriotic
A website that explains where candidates stand on the issues of their party's platform
A news channel that actively advocates for a particular candidate
A radio program where local politicians are interviewed about important local issues
Answers
Answer:
Here :D
Step-by-step explanation:
The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.
What is Symbolism in Communication?
In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.
Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.
Read more about Symbolism at; https://brainly.com/question/15816956
#SPJ2
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Angle MKP is 95° because
120-25= 95
And it’s obtuse because 95 is greater than 90
Hope this helps :)
Solve the system of equations.
−4x+3y=−2
y=x−1
Answers
(-1,-2)
x= -1
y= -2
Have a wonderful day :)
Which expression is equivalent to 4/5x + 1 4/5
A 1/5(4x +1)
B 2/5(2x + 3)
C 4/5 (x + 2)
D 5/4 (x + 1)
Answers
There is none, but the closest is C.
It should be: 4/5( x + 2.25)
4/5 x x = 4/5x
4/5 x 2.25 = 9/5 (or 1 4/5)
(4 x? = 9) ==> 2.25
Step-by-step explanation:
A) 4/5 x + 1/5
B) 4/5x + 6/5 (or 1 1/5)
C) 4/5x + 8/5 (or 1 3/5)
D) 5/4 x + 5/4 (or 1 1/4)
Hope this helps!
2x+3y=8 find the solution using addition elimination method
Answers
Answer:
X equals 1, and Y equals 2
First, find the value of 2x, we have to assign one to make the problem work.[tex]2x = 2 * 1[/tex]
Now, find y.[tex]3y = 3 * 2[/tex]
Find the results of the multiplication. Remember that anything times 1 is always the same number, the base number.[tex]2 * 1 = 2[/tex]
[tex]3 * 2 = 6[/tex]
Now, add.[tex]6 + 2 = 8[/tex]
________________________________________________________
Now, we go over what we learned.
________________________________________________________
What have we learned?We learned how to make inequalities true by assigning values to substitutions.
Questions related to this topic? Ask me in the comments box.
Help Me with this please
Answers
Answer:
B) Δ+5
Step-by-step explanation:
Means that Austin has $5 more than Mark
Hope this helps
Melissa deposits $5000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?
Answers
Answer:
$400 is the intrest she will pay in the first 2 yrs
Step-by-step explanation:
principal (p) = 5000
time (t) = 2yrs
rate (r) = 4%
Now,
Intrest(I) = p×t×r/100
= 5000×2×4/100
= 400$
If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%
Answers
Answer:
3.6% or B quack quack quack quack
The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the labor force is 740 workers, but 27 are unemployed.
Here, percentage = 27/740 ×100
= 2700/740
= 3.6%
Therefore, option B is the correct answer.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost
Answers
Answer:
$100 answers your question
What is the equivalent expression for 24x - 40y ?
Answers
Answer:
See answer and step-by-step attachment.
Step-by-step explanation:
See attachment.
A fair dice is rolled.
Work out the probability of getting a number less than 6.
Give your answer in its simplest form
Answers
Answer: 5/6
Step-by-step explanation: If its a six sided die with numbers 1 - 6
Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?
Answers
If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.
Loan Oustanding balanceFirst step is to find the annual interest
Annual interest= $391.42 x 12
Annual interest= $4,697.04
Second step is to calculate the outstanding balance
Outstanding balance=Annual interest/Interest rate
Oustanding balance= $4,697.04/ 11½%,
Outstanding balance =$40,843.826
Outsatnding balance= $40,843.83 (Approximately)
Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.
Learn more about loan outstanding balance here:https://brainly.com/question/2279877
A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <
Answers
The function f(h) = 45h + 80 of the computer repair is a linear function
45 represents the hourly rate80 represents the base costThe value of h means 3 hoursWhat 45 and 80 represents?A linear function is represented as:
f(h) = mh + c
Where:
m represents the rate; m = 45b represents the base cost or y-intercept; y = 80By comparison;
45 represents the hourly rate and 80 represents the base cost
How to calculate h?
We have:
f(h) = 45h + 80
When f(h) = 215, the function becomes
45h + 80 = 215
Subtract 80 from both sides
45h = 135
Divide both sides by 45
h = 3
Hence, the value of h means 3 hours
Read more about linear functions at:
https://brainly.com/question/15602982
CAN SOMEBODY SOLVE EQUATION IM LOST
Answers
Answer:
2
- x -1
3
Step-by-step explanation:
I NEED HALP PWEASE AND PWEASE DONT IGNORE ME EVERONE DOES THAT WHEN I PUT A QUESTION UP IM GIVING BRAINLYS OUT
Answers
Answer:
The order goes:
B
A
D
C
Step-by-step explanation:
Based on the clues joe has the least so he would be B
Terrell has the most so his would be A
Jimmy has half so he would be D
and Justin is C last option
Answer:
Clue 1: 1,4 = B
Clue 2: 1,6 = A
Clue 3: 2,4 = C
Clue 4 : 4,5 = D
