Answers
Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
[tex]r=\sqrt{(2-(-1))^2+(-4-0)^2}[/tex]
[tex]r=\sqrt{(2+1)^2+(-4)^2}[/tex]
[tex]r=\sqrt{(3)^2+(-4)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
Now, the equation of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
[tex](x-(-1))^2+(y-0)^2=5^2[/tex]
[tex](x+1)^2+y^2=25[/tex]
Therefore, the first option is correct, i.e., [tex](x+1)^2+y^2=25[/tex].
Related Questions
If b= 18^3 in the right triangle below, what is the value of c?
Answers
A moving company
travels 180 miles in 4
hours on Monday. At
this rate, how long
will it take them to
drive 270 miles?
Answers
Answer:
6 hours
Step-by-step explanation:
180/4 is 45 so we do 270/45 which is 6 hours
pls give brainliest haven't got one yet
(SAT Prep) Find the value of x.
Answers
Answer:
x = 65°Step-by-step explanation:
2x and 50° are supplementary angles
2x + 50° = 180°2x = 130°x = 130°/2x = 65°Answer:
65
Step-by-step explanation:
2x+2x=4x
4x+50+50=360
4x+100=360
4x=260
x=65
Helppppp pleaseeee thanks ✏️
Answers
Answer:
H
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
That means
180= 25 + 45+ unknown angle
180= 70 + unknown angle
180 - 70 = unknown angle
110 = unknown angle
You take your favorite teacher out to lunch. The total
cost of your meals was $37.50. You want to add a 20%
tip. What is the new final total?
Answers
Answer:
it would be 45 total with the 20%
The equation Y+B=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
Oy-x-3
O y-3x+9
O y-sx-9
O y-3x+3
Answers
Answer:
[tex]y = 3x - 27-b[/tex]
Step-by-step explanation:
Given
[tex]y + b = 3(x - 9)[/tex]
Required
Write in slope intercept
Open bracket
[tex]y + b = 3x - 27[/tex]
Collect Like Terms
[tex]y = 3x - 27-b[/tex]
To make fruit salad, Maria bought 2 1/4 pounds of apples, and 1 1/3 pounds of peaches. How much fruit salad did this make? Make sure your answer is in simplest form.
Answers
Answer:
3 7/12
Step-by-step explanation:
HELPPPP DUEEE IN A FEW MINSSS PLS HELPPP
Answers
2.he make $16
3.$96
4. $240/16 per hour = 15
Compare and contrast the words malfunction and dysfunction
Answers
Jasmine wants to earn $2,000 in simple interest through a
bank account earning 5% annually. How much principal
would she need to invest in the account to meet her interest
goal in 4 years?
Answers
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
What about this one thank you so much
Answers
Answer:
19 is the answer
Step-by-step explanation:
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answers
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
SOMEONE HELPPPPPPPP
Answers
WITH WHAT THE SCREEN MAD BLURRY
B= 36+28=64
C= okay so it’s 64 or either 128
I’m more sure it’s 64 so go for 64!
Oh I got 128 by doing 64 times 2
Is this theorem AA, SSS, or SAS? If so how do you know?
Answers
Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?
The value of 34 + 5 ⋅ 5 = ___.
Answers
Answer:
59
34+5×5=34+25=59
Can someone help me, please??
Answers
Answer:
im gonna say its the last one
Step-by-step explanation:
all of the graphs and histograms ive seen have a 0 at the y
Help me please!...ffddfdf
Answers
Answer:
Radius:3.5 or 7/2
Diameter:7
Step-by-step explanation:
The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius
5(3x - 7 + 4y)
*
+
Your answer
Answers
Answer:
15x - 35 + 20y
Step-by-step explanation:
distribute
5 x 3x = 15x
5 x -7 = -35
5 x 4y = 20y
hope it helps;)
un numero entero y racional
Answers
Answer:
Los números racionales son aquellos números que pueden ser expresados como una relación entre dos enteros. Por ejemplo, las fracciones 1/3 y –1111/8 ambas son números racionales. Todos los enteros están incluídos en los números racionales, ya que cualquier entero z puede ser escrito como la relación z /1.
Step-by-step explanation:
Determine the length of side .qs
Question options:
A)
2.4
B)
3.4
C)
5.7
D)
1.9
Answers
Answer:
i don't know this i think its 3.4 or 1.9
Answer:
A) 2.4
Step-by-step explanation:
Which of the following fractions is written in its simplest form?
a. 11/121
b. 45/50
c. 14/35
d. 12/73
Answers
NEED HELP ASAP!!! for geometry class
Answers
Answer:
B) AAS
Step-by-step explanation:
B) AAS
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
Answers
A man wishes to keep some money in savings de-
posit at 25% compound interest so that after 3
years he can buy a car for N150000. How much
does he need to deposit now?
Answers
Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.25)^t[/tex]
[tex]P(t) = P(0)(1.25)^t[/tex]
[tex]150000 = P(0)(1.25)^3[/tex]
[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]
[tex]P(0) = 76800[/tex]
He needs to deposit N76800 now.
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
Answers
Answer:
it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.
Step-by-step explanation:
I got it right on the test.
Answer:Yoo the anser is A
Step-by-step explanation:
for the makeupo math corse
-(f + g)(x) 3 for all values of x
im 99% sure that this is the correct answer
Answers
Answer: You are correct. The answer is choice A. Nice work.
Explanation:
Assuming Ramon did his steps correctly, ending up with 53 = 477 means that the original equation doesn't have any solutions.
Consider an example such as x+5 = x+6
We can subtract x from both sides to end up with 5 = 6, but that's a false statement. So no value of x can be plugged into x+5 = x+6 to lead to a solution. This idea applies to Ramon's original equation. The equation 53 = 477 is a contradiction (the left side contradicts the right side since the numbers don't match).
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to pay
for the sweater during the sale if the customer paid with the
store's credit card? Round your answer to the nearest cent.
Answers
Answer:
Ambitious Ambitious Ambitious Ambitious
A popular sports drink uses sugar as a sweetener. The radio of pints of spors drink to grams of sugar is 5:16.
Erika only wants to consume 4 grams of sugar from her sports drink.
How many pints of the sports drink can erika drink?
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
Answers
Answer:
Step-by-step explanation:
x/1=3/(1/8)
x=3(8/1)=24 bottles per minute
What is the value of s?
units