Well the are six sides and numbers on the dices and two sides on the coin so there would be 8 outcomes
Area=1/2 times base times height
note:bh=base times height
a=1/2bh
b=width
h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
a=1/2(2s^2-4w)
a=w^2-2w
a=63
63=w^2-2w
subtract 63 from both sdies
0=w^2-2w-63
factor
find what 2 numbers multiply to get -63 and add to get -2
the numbers are -9 and 7
so
0=(w-9)(w+7)
if xy=0 then x and/or y=0
so
w-9=0
w+7=0
solve each
w-9=0
add 9 to both sdies
w=9
w+7=0
subtract 7 from both sides
w=-7
width cannot be negative so this can be discarded
width=9
subsitute
l=2w-4
l=2(9)-4
l=18-4
l=14
legnth=14 in
width/base=9 in
Answer:
1 ; 7 /17
Step-by-step explanation:
17 balls numbered 1 through 17
Picking without replacement :
If the second ball picked = 4
P(first ball has a smaller number)
Numbers less Than = (3, 2, 1)
P(number less than second ball Given 4 is drawn for second ball) :
= (3/17 * 1/16) ÷ (3/17 * 1/16) +) 14/17 * 0)
= (3 / 272) / (3 /272) * 0
= 3 / 272 * 272 / 3
= 1
2.)
(8/17 * 7/8) ÷ (8/17 * 7/8) + (9/17 * 1/17)
7/17 ÷ (7 /17) + 10/17
7 /17 ÷ 17/17
7/17 ÷ 1
7 /17
If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope.