Please help me..
In the figure, the circle A with x passes through the centre y of the circle B is x^2+ y^2-4x+6y-12=0 and coordinates of x are (-4,5) then find the equation of circle A.
Answers
Answer: A: (x + 4)² + (y - 5)² = 8
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleTo find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:
[tex](r_A)^2=d^2=(x_A-x_B)^2+(y_A-y_B)^2[/tex]
= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8
Related Questions
Can you reduce -6/-3
Answers
Answer:
yes, -6/-3=2
Step-by-step explanation:
-6/-3=2
2. What is the slope of a line perpendicular to x + 2y = 5
2/5
2
-1/2
1/2
PLS HELP
Answers
Answer:
the perpendicular slope would be 2
Step-by-step explanation:
x+2y=5
2y=5-x
y=(5-x)/2
the slope of the original equation is -1/2
so you would then flip it and multiply by -1.
-1/2 -> -2*-1 -> 2
what is the slope of y= -4x -3
Answers
Answer:
Step-by-step explanation:
it would be on a graph on -3 going up just by -1 but not hiting it hope this helps
Answer:
-4
Step-by-step explanation:
The equation is conveniently in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '-4' is in place of 'm' in the equation. This means that -4 is the slope of the line.
[tex]y=\boxed{m}x+b\rightarrow y=\boxed{-4}x+b[/tex]
Hope this helps.
Solve the equation:
1/6(6x−12)=−13−(x−3)
Answers
Answer:
x = -4
Step-by-step explanation:
1/6(6x−12)=−13−(x−3)
Distribute
x -2=−13−x+3
Combine like terms
x-2 = -x-10
Add x to each side
x-2+x = -x-10+x
2x-2 = -10
Add 2 to each side
2x-2 +2 = -10+2
2x = -8
Divide by 2
2x/2 = -8/2
x = -4
15s-100=350 Can someone answer please.
Answers
Answer:
15s=350+100
15s=450
s=450/15
s=30
Hope it helps:-)
What is the value of the expression -5x3.3?
Answers
Answer:
-16.5
Step-by-step explanation:
1) -5*3.3
2) (Multiplying with 1 negative number makes it negative)
3) -16.5
Look at the photo please
Answers
Richard bought 32.4 pounds of potting soil and 45.6 pounds of sand. She got the potting soil for $0.86 per pound and the sand for $0.72 per pound. How much did he pay in all? ( round your answer to the nearest dollar)
Answers
Answer:
67.00
Step-by-step explanation:
Add the numbers.
You get 67.08.
You want it rounded.
So now the answer is 67.00.
Simplify the expession 5x +2 -6y +4 -5x - 4y
-25x +30y +6
0 -10y +6
O -2y +6
0-4xy
Answers
i think it is -25x + 24y +6, if you're multiplying the variable, but if you're adding them then it is x - 10y +6
Solve the following equation for d:
D
— =7
5
Answers
Answer: x = 35
Explanation: In this problem, notice that D is being divided by 5,
so to get D by itself, we need to multiply both sides of the equation by 5.
Notice that on the left side, the 5 and 5 cancel
each other out, so we are just left with D.
On the right side, we have (7)(5) which is 35.
So x = 35.
Finally, remember that we can check our answer
by plugging a 35 back into the original equation.
So we have [tex]\frac{(35)}{5} = 7[/tex].
Since this is a true statement, we know that our answer is correct, x = 35.
Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age?
Answers
We know that the sum of Becky and Micah’s ages is equal to Jacob’s age + 2.
So j + 2 = b + m
And further solving ...
j = b + m - 2
t + 32 + 75 = 180
solve this
Answers
Answer:
73
Step-by-step explanation:
32+75=107
180-107=73
If S(0,6) and T(-10,-1) are the endpoints of directed line segment ST. What is the y coordinate of the point that divides the segment into a ratio of 3:4
Answers
Answer:
The y coordinate is 3
Step-by-step explanation:
Here, we want to find the y-coordinate of the line that divides the line segment in the given ratio.
To calculate this, we shall be using the internal division formula;
It is as follows;
( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))
In this question;
m = 3 and n = 4
x1 = 0 , y1 = 6
x2 = -10, y2 = -1
Now substituting these values into the equation, we have;
(3(-10) + 4(0)/(3 + 4) , (3(-1) + 4(6)/(3+4))
= -30/7 , (-3 + 24)/7
= -30/7 , 21/7
= -30/7 , 3
Hi, so I was wondering what the first part of the equation could be? I thought it would just be 10i
Answers
Solve for x. (Geometry)
Answers
Answer:
x = 7
Step-by-step explanation:
The indicated angles are vertical and congruent, thus
14x + 2 = 13x + 9 ( subtract 13x from both sides )
x + 2 = 9 ( subtract 2 from both sides )
x = 7
HOPE THIS IS THEANSWER YOU NEEDED
Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of grapes
Answers
PLEASE HELP URGENT ILL HELP YOU PLEASE
Answers
Answer:
jes what are they doing to you
Step-by-step explanation:
z^2+9z+10 what's the answer?
Answers
Answer:
Step-by-step explanation:
it is the same. it cannot be factored
In 1950, the population of Switzerland was 4 714 900.
In 2000, the population was 7087000.
(a) Cal
(a) Work out the percentage increase in the population from 1950 to 2000.
Answers
Answer:
50%
Step-by-step explanation:
percentage increase =increase÷original ×100
increase= 7087000-4714900=2372100
2372100÷4714900×100=50.3107
Answer:
50%
Step-by-step explanation:
Marnie bought two picture frames. One is 5 inches by 8 inches. The other is 15 inches by 24 inches. Are the ratios of length to width proportional for these frames.
Answers
5x3=15
8x3=24
The proportion is x3
What are the solutions to the equation x=2-x?
A. -1 and -2
B. -1 and 2
C. O and -2
D. 0 and 2
E. 1 and -2
Answers
Answer:
Your answer would be D
Step-by-step explanation:
Simply substitute each of the numbers with the variables untill the solution is true. For example, for B, (-1)=2-(2) is inaccurate, but using D, (0)=2-(2) is true.
solve each equation for the given variable 21.5 + z = -52.9
Answers
Answer:
-74.4
Step-by-step explanation:
Justify whether n+10 is always sometimes or never greater than 2n+3
Answers
Answer:
Step-by-step explanation:
n+10-(2n+3)=n+10-2n-3=-n+7
-n+7=0,n=7
if n <7,n+10>2n+3 always.
if n>7,n+10 is never >2n+3
Answer:
what did you get!!???
Step-by-step explanation:
what did you get i really need this!
Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch? The length of the hypotenuse of each right triangle is _________ inches.
Answers
Answer:
14.14 inches
Step-by-step explanation:
We know that the diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of the side.
The diagonal of a square is the hypotenuse of this triangle.
That means the hypotenuse will be equal to [tex]\sqrt{2}\cdot10[/tex]
This can be simplified to [tex]\sqrt{200}[/tex], which, rounded to the nearest hundredth is 14.14.
Hope this helped!
B is between A and C. AB = 2y + 6, BC = y + 8, and AC = 20. Find the value of "y"
y =
Answers
Answer:
Step-by-step explanation:
2y+6+y+8=20
3y+14=20
3y=6
y=2
2.35-4.89 + 8.39-3.72
Answers
Answer:
-7.21
Step-by-step explanation:
2.35-4.89= -2.54, 8.39-3.72=4.67, -2.54-4.67= -7.21
Answer:
7.21 (positive)
Step-by-step explanation:
trust me slime i know what im doing
How many pints is 5.5 quarts 12
Answers
Answer:
it is 66 quarts
Please HELP
X Y
1 12.3
2 19.6
3 26.9
4 34.2
5 41.5
Graph the function shown by the table. Is the function linear or nonlinear?
a. linear
b. nonlinear
(show steps)
Answers
Shanice left Kali's house and drove toward
the desert at an average speed of 70 km/h.
Lisa left one hour later and drove in the
opposite direction with an average speed of
55 km/h. Find the number of hours Lisa
needs to drive before they are 570 km apart.
Answers
Answer: 4 hours
Make a number line and put up to 5 hours going both directions. one direction will be shanice, the other lisa. youll skip an hour for lisa. so shanice will arrive at 350km and lisa will get to 220km at the five hour mark. It’s a lot simpler then doing the actual math.
The endpoints of AB are A(1, 2) and B(7, 8). Find the coordinates of the midpoint
Answers
Answer:
The answer is
( 4 , 5)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1, 2) and B(7, 8)
The midpoint is
[tex]M = ( \frac{1 + 7}{2} , \: \frac{2 + 8}{2} ) \\ = ( \frac{8}{2} \: , \: \frac{10}{2} )[/tex]
We have the final answer as
( 4 , 5)Hope this helps you
