1) 2m+6 / m² + 7m - 12 + (m+2)/(m+4)
= 2(m+3) / (m+4)(m+3) + (m+2)/(m+4)
= 2/(m+4) + (m+2)/(m+4)
= 2+m+2 / (m+4)
= m+4 / m+4
= 1 [ Option A ]
Answer 2) 3/ (x+4) + 7/ (x-3)
= 3(x-3) + 7(x+4)/ (x² +x - 12)
= 3x-9 + 7x + 28 / (x² +x - 12)
= 10x + 19 / (x² +x - 12) [ Option A ]
Hope this helps!
The tools that were used by ancient mathematicians to make geometric constructions are compasses and straightedges. A compass is a drawing instrument used to draw circles and arcs. The straightedges on the other hand is a tool to check on the accuracy of a straight line.
The answer is first choice.
L = X
w = X - 8
P = 52 cm
P = 2l + 2w
52 = 2(X) + 2(X - 8)
52 = 2x + 2x - 16
52 + 16 = 4x
68 = 4x
68/4 = 4x/4
17 = X.
The length of the rectangle is 17 cm.
W = X - 8
W = 17 - 8
W = 9 cm.
The width of the rectangle is 9 cm.
(17,000-2,500)/5=14,500/5=$2,900 is the annual depreation.
17,000-2,900*3
17,000-8,700=$8,300 value after 3 years.
