Answer:
Solution given:
Centre(h,k)=(-5,-9)
radius (r)=7
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
Substituting value;
(x+5)²+(y+9)²=7²
<u>(x+5)²+(y-9)²=49 is a required equation of a circle</u>.
Answer:
5
Step-by-step explanation:
Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.
Then, if A is a matrix
the maximum number of pivots that can have is one by row, that is, 5.
Then the maximum rank that A can have is 5.
Answer:
Correct option: first one -> y = (1/3)x + (10/3)
Step-by-step explanation:
The linear function that represents a line is:
y = ax + b
Where a is the slope and b is the y-intercept.
First we need to find the slope of the line that goes through (0, -3) and (3, -2).
Using both points, we can find the equation of the line:
x = 0 -> y = -3
-3 = a*0 + b
b = -3
x = 3 -> y = -2
-2 = 3a - 3
3a = 1
a = 1/3
The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:
y = (1/3)x + b
The parallel line goes through the point (-4, 2), so we have:
x = -4 -> y = 2
2 = (1/3)*(-4) + b
b = 2 + (4/3)
b = 10/3
So the equation of the parallel line is:
y = (1/3)x + (10/3)
Correct option: first one
598
explanation: 500+98= 598
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- 
- Our slope is 
[] So what will the line look like:
- 
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of 
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather