Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]
[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]
[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+4}[/tex]
[tex]r=\sqrt{13}[/tex]
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].
[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]
[tex](x+2)^2+(y-1)^2=13[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].
What is x if
f(x) = -2?
Answer:
The answer is 2 or 2x
Step-by-step explanation:
Hope this helps!!
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
Had 2/3 liter of salt water mixture. She used 1/5 of a liter of the mixture for a science experiment.
Answer:
Step-by-step explanation:
2/3 - 1/5
Find the LCM, say, 15
Then we find the multiple in 15
10/15 - 3/15 = 7/15
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc
Answer
3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps
Let’s say we are using 12 inch diameter balloons filled with helium to lift objects off of the surface.
*Let’s say that 5 balloons can lift 60 grams of weight.
What is the unit rate for weight/balloon? ________
Answer:
its 12
Step-by-step explanation:
PLZ HELP ME :( you can pick neither or both or one of the triangles in the screenshot
Survey results tell you that 55% of students say chocolate is their favoriate ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?
Answer:
around 165-176
is it a multiple choice answer
Step-by-step explanation:
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
PLSSSSSSSS HELPPPPPP ASAPPPPP
What is the answer to the question?
Answer:
45Step-by-step explanation:
because the sum of angles of a triangle is equal to 180
a spectre is viewing the six cars of a roller coaster as it travels down a hill at an amusement park. What is the closest to the total length of the six cars
Answer:
your answer will be Option D.32.5 ft
Step-by-step explanation:
hope it helps you!!
1 at 5:00 is where u get ready and then 7:00 u are done then u go to school then at 12;oo is time for luch that time and then 1:00 is done will lunch when are u going back to home when it is afternoon
Answer:
3:30 maybe or its probably different if your at a different country and their school I don't know if this the correct answer
Step-by-step explanation:
To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?
Answer:
1.5
Step-by-step explanation:
First you divide 6 by 4. It looks like this 6/4.
Then you get 1.5 cups of flour.
Good Luck!
Answer:
3/2 cups
Step-by-step explanation:
4 batches = 6 cups
1 batch of cupcakes = (6/4) cups of flour.
hence, 3/2 cups of flour are needed for 1 batch.
The dot plot shows the number of pretzels that were in each snack bag made for a party.
Number of Pretzels
How many snack bags were made for the party? Enter your answer in the box.
yes yes ye s yes yes help pls
Answer:
yea its c ಥ⌣ಥ
Step-by-step explanation:
...........
Answer: most likely c.
Iknowimlatebutayofreepoints-✨
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
What is the equation of the line that is represented by the table of values below?
x y
0 15
1 12
2 9
3 6
Group of answer choices
y = -3x + 15
y = -15x - 3
y = 15x - 3
y = 3x + 15
Answer:
y = -3x + 15
Step-by-step explanation:
slope is -3
y-intercept is 15
find the area of trapezoid
Answer:
1725ft^2
Step-by-step explanation:
I have made it in above picture
Please help with this question.
Answer:
if I have my calculations right it would be £120
1 1\4 - 3\8 what is the answer
Answer: 19/8
Step-by-step explanation:
11/4 can be view as 22/8 by multiply 2 to the denominator and numerator.
11/4 - 3/8
= 22/8 - 3/8
= 19/8
i really need help on this.
Answer:
both are (0,0)
Step-by-step explanation:
Hello There!
When its asking for the vertical intercept its asking " at what points does the equation cross the vertical axis( y axis) so its pretty much asking for the y intercept¨
In the graph shown below the y intercept is 0 so the coordinates of the vertical intercept would be (0,0)
When its asking for the horizontal intercept its asking " at what points does the equation cross the horizontal axis ( x axis ) so its pretty much asking for the x intercept."
In the graph shown below the x intercept is 0 so the coordinates of the horizontal intercept would be (0,0)
If the cost price of a bag is AED 2176 and its selling price is AED 2497 then find the profit
Answer:
321 AED
Step-by-step explanation:
2497 - 2176 = 321 AED
X/15 = -10 can someone help
Answer:
x = -150
Step-by-step explanation:
x/15 = -10
Multiply both sides by 15.
Please answer the question above.
Answer:
50
Step-by-step explanation:
We know angles in a straight line add up to 180, therefore:
2x + 50 + 30 = 180
2x + 50 = 180 - 30
2x + 50 = 150
2x = 150 - 50 = 100
2x = 100
x = 50
Answer:
Step-by-step explanation: Since we know the angle of a line is 180 degrees. We can use that.
1. 180-30 because we already know that angle is 30 degrees.
2. We are left with 150 degrees so we know the large angle is 150 degrees to check we do this.
3. 150=2x+50
4. 100=2x Divide both sides by two and get
5. x=50
The sum of two consecutive numbers is -37. Find the numbers.
Answer:
I think you answer will be 7
multiples of 7 between 50 and 80
Answer:
Step-by-step explanation:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ... 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ... 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Find four consecutive even integers whose sum is 84. Find the integers.
Need help asap Please. Thank you
Answer:
B. 477°, -243°Step-by-step explanation:
Coterminal angles with 117° are:
117° + 360°x, where x is an integerWhen x = 1 and -1 we get:
117° + 360° = 477° and 117° - 360° = -243°It can be easily verified that all the other pairs are incorrect
Correct one is B
Answer if you know the answerss only please
:WARNING: WILL BE REPORTING>
UWU
Answer:
1. There are 18 girls
2. (BLANKS IN ORDER) 5, 18, 36, 30
Step-by-step explanation:
with the ratio given, you divide the lager by the smaller then multiply accordingly to the others( keep in mind it depends which number is on what side)
awnser the questions to describe the transformations of figure ABCD. Is A'B'C'D' a translation rotation or reflection of abcd?
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation: