Answer:
( x + 2 )² + ( y - 4 )² = 36
Step-by-step explanation:
Standard equation of a circle - ( x - h )² + ( y - k )² = r²
where r = radius and center is at ( h , k )
The given center is ( -2 , 4 )
Thus h = -2 and k = 4
and the given radius is 6
Thus, r = 6
that being said, we plug in the given values into the standard equation
( x - ( - 2 )² + ( y - 4 )² = 6²
Finally we simplify
In - ( -2 ) the two negative signs cancel out and it turns into + 2
6² = 36
The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36
Answer:
17.3 cm
Step-by-step explanation:
20² = 10² + x²
400 = 100 + x²
300 = x²
x = 17.3 cm
Answer:
x = -19; y = 25/3
Step-by-step explanation:
Step 1: solve the equation with only one variable
Isolate the variable (x)
x + 10 = -9
x = -9 - 10
x = -19
Step 2: input new information into the other equation
If x = -19, then:
2(-19) - 6y = 12
Isolate the variable (y)
-38 - 6y = 12
-6y = 12 + 38
-6y = 50
y = 50 ÷ 6
y = 50/6
Simplify
y = 25/3
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.
Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760