Answer:
x -3y = - 3
Step-by-step explanation:
Slope of line m = (0 -1 )/(-3 - 0) = 1/3
y - intercept b = 1
Equation of line in slope-intercept form is given as:
y = mx + b
Plugging m = 1/3 and b = 1 in the above equation, we find:
y = 1/3 x + 1
-> 3y = x + 3
-> x -3y = - 3
This is the required equation of line.
Answer:
(A+B)(A+B)=A.A+B.A+A.B+B.B
Step-by-step explanation:
Given that matrices A and B are nxn matrices
We need to find (A+B)(A+B)
For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.
We know that that in matrices AB is not equal to BA.
Now find
(A+B)(A+B)=A.A+B.A+A.B+B.B
So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.
So (A+B)(A+B)=A.A+B.A+A.B+B.B
Answer:
84°
Step-by-step explanation:
The circle has five central angles that together equal to 360°.
55° + 37° + 96° + 88° = 276°
Hence, to find the fifth central angle, we have to subtract 276° from 360°.
360° - 276° = 84°
The degree measure of the last central angle is 84°.
Hope this helps! :)
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
