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
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:
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
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.
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
What about this one thank you so much
Answers
Answer:
19 is the answer
Step-by-step explanation:
What is the value of s?
units
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
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.
HELPPPP DUEEE IN A FEW MINSSS PLS HELPPP
Answers
2.he make $16
3.$96
4. $240/16 per hour = 15
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:
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;)
Compare and contrast the words malfunction and dysfunction
Answers
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
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%
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
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
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
Answers
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]
(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
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).
Is this theorem AA, SSS, or SAS? If so how do you know?
Answers
NEED HELP ASAP!!! for geometry class
Answers
Answer:
B) AAS
Step-by-step explanation:
B) AAS
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
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:
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
If b= 18^3 in the right triangle below, what is the value of c?
Answers
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
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:
Which of the following fractions is written in its simplest form?
a. 11/121
b. 45/50
c. 14/35
d. 12/73