Answer:
Top row: [1 0 0 | 650}
Middle row: [0 1 0 | -400]
Bottom row: [0 0 1 | -1100]
Step-by-step explanation:
When you put an augmented matrix in RREF for, you have to have only 1's diagonal and 0's everywhere else on the left side of the bar.
Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that
CD/CM = DE/ML = CE/CL
CD = 20 + 12x + 2 = 12x + 22
CE = 30 + 12 = 42
20/12x + 22 = 12/42
By cross multipying, it becomes
12(12x + 22) = 20 * 42
144x + 264 = 840
144x = 840 - 264 = 576
x = 576/144
x = 4
Answer:
Step-by-step explanation:
1/2n - 5 = 21
1/2n = 21+5
1/2n = 26
n = 26 x 2
n = 52
First, find the slope of the line y-Ax=B
y=Ax+B, so the slope is A, which is a constant.
Because the new line is parallel to the given line, so the slope is also A.
Next, write the new line in point-slope form:
(y-3)=A(x-(-7)) =>y-3=A(x+7)
You can write it into slope-intercept form if needed: y-3=Ax+7A =>y=Ax+7A+3
or standard form: y-Ax-7A-3=0
