Answer: 4 • (2x - 7) • (x + 3)
Step-by-step explanation:
(4x+12)(2x-7)
8x²-28x+24x-84
8x²-4x-84
Answer:
D) 2/3 x - 8
E) -4x + 11
Step-by-step explanation:
y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.
A has a bottom limit
B has a bottom limit
C has a top limit
Answer:
Area of shaded part ABCEF = 66 sq.cm
Step-by-step explanation:
AB = 8cm
CD = 8cm
Let DE = x cm
CE = 3x cm
CD = CE + DE = 8cm
x + 3x = 8
4x = 8
x = 8/4 = 2 cm
DE = 2cm
CE = 3 * 2 = 6 cm
Area of triangle ADE = 1/2 * base * height
= 1/2 * DE * AD
= 1/2 * 2 * 11 = 11 sq. cm
Area of triangle AEF = Area of triangle ADE = 11 sq. cm
Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm
Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)
= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm
Answer:
A) L = W + 6
B) L * W = 167 OR L = 167 / W
Substituting B) into A)
167 / W = W + 6
Multiplying both sides by "W" we get
167 = W^2 + 6W
W^2 + 6W -167
Solving by the quadratic formula
Width = 10.266
Length = 16.266
Step-by-step explanation:
Answer:
25 Paper Clips
Step-by-step explanation:
100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).
100/4 = 25
So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.
