Answer:
(-9, 6)
Step-by-step explanation:
It's all about pattern matching.
A circle centered at (h, k) with radius r has the equation ...
(x -h)^2 + (y -k)^2 = r^2
Comparing this pattern to the equation you have, you can see that ...
Then the center is (h, k) = (-9, 6).
For the given systems A and B:
1) Replace the first equation of A by the sum between the two equations of A.
2) Yes, the systems are equivalent.
<h3>
How to get system B from system A?</h3>
Here we have the two systems of equations:
A:
6x - 5y = 1
-2x + 2y = -1
B:
4x - 3y = 0
-2x + 2y = -1
The second equation is the same in both systems, so we only look at the first equations.
In A we have:
6x - 5y = 1
If we add the second equation of A, then we get:
(6x - 5y) + (-2x + 2y) = 1 + (-1)
4x - 3y = 0
This is the first equation of B.
Then we need to replace the first equation by the sum between the first and second equations.
2) Are the systems equivalent?
Yes, because we did not "modify" system A, we just rewrite it and we got system B, then both systems have the same solutions.
If you want to learn more about systems of equations:
brainly.com/question/847634
#SPJ1
Answer:
Step-by-step explanation:
Let x be the width of the jewellery box
Given:
Length of the box is twice its width
Length of the box = 
Length of the box = 
depth of the box is equal to 2 inches less than its width.
depth of the box = 
depth of the box = 
The volume of the box is 64 inches.
Solution:
We know that the formula of the volume is.
Now we substitute all known value in above.
Therefore, the equation of the volume of the box is.
Answer:
1. 116 m
2. 60 cm
Step-by-step explanation:
1. The total area is 12*10 m, or 120 m. The area of the non-shaded region is 7*2 m, or 14. Subtract 14 from 120 to get 116.
BTW the side 12 looks like it is less than the 10, the question is not lengthed properly, just saying
2. A bit trickier, divide the question into 2 parts, a triangle and rectangle.
The rectangle is 12*4 cm, or 48 cm, the triangle is 12 - 3 - 3 = 6 and 8 - 4 = 4
So we use 6 and 4. The area of a triangle is 1/2b * h, half of the base times the height, the base is 6 cm, and the height is 4 cm, 1/2(6) * 4 = 3*4 = 12 cm
48 + 12 = 60 cm
Y would be -5/8 since 1*-5/8 is still -5/8 (identity property.)
