Answer:
b. -33
Step-by-step explanation:
The question is about finding the determinant of a 2×2 matrix
General formula; when given matrix A =[ b c ]
[ d e]
the determinant of A = (e×b)-(c×d)
Evaluate
(3 -3)
(-5 -6) = (-6×3) - ( -5×-3)
= (-18)- ( 15) = -33
When matrices are equal, corresponding terms are equal.
... 5x - 8 = 2
... 5x = 10 . . . . . . . . add 8
... x = 2 . . . . . . . . . divide by 5
Answer of the set is x=-11.2 and y=3
Answer:
Step-by-step explanation:
PEMDAS is a set of rules which are followed while solving mathematical expressions. These rules start with Parentheses, and then operations are performed on the exponents or powers. Next, we perform operations on multiplication or division from left to right. Finally, operations on addition or subtraction are performed from left to right.
Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation

substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be: