Step-by-step explanation:
if the 2 matrices are inverse, then their product must be the identity matrix
1 0
0 1
so,
m×3 + 2×-7 = 1
7×3 + 3×-7 = 0
m×-2 + 2×m = 0
7×-2 + 3×m = 1
that means we have to solve only
3m - 14 = 1
3m = 15
m = 5
Slope = Change in Y / change in X
Slope = (8 - 2) / (9-6)
Slope = 6 / 3
Slope = 2
Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
Answer:
225 students
Step-by-step explanation:
Total number of students = 900 students
percent that bring lunch to school everyday = 25%
Number of student that bring lunch to school = 25% of 900
Number of student that bring lunch to school = 0.25 * 900
Number of student that bring lunch to school = 225
Hence 225 students bring lunch to school everyday
