Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Answer:
AX : XB as AB : AC
AX = 5
XB = 4
AC = 6
AB = x
Step-by-step explanation:
5 : 4 as to x : 6
ratios can also be written as fractions...
5/4 = x/6 ..now we have a proportion...so we cross multiply
(4)(x) = (5)(6)
4x = 30
x = 30/4
x = 15/2 <==== AB = 15/2
Answer:
f = -3 , 5/2
Step-by-step explanation:
8f² + 4f - 60 = 0
Divide the entire equation by 4
2f² + f - 15 = 0
Product = -30
Sum = 1
Factors = -5 , 6 {(-5)*6 = -30 and -5 +6 = 1}
2f² + f -15 = 0 {Rewrite the middle term using the factors}
2f² + 6f - 5f -15 = 0
2f(f + 3) - 5(f + 3) = 0
(f +3) (2f - 5) = 0
f +3 = 0 ; 2f -5 = 0
f = -3 ; 2f = 5
f = 5/2
