Opposite but I’m not very sure
The answer is C; -2 as -5y+10 is y=-2
So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400
if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side
a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0
b-19.8882=0
add 19.8882 to both sides
b=19.8882
b-2.11181=0
add 2.11181 to both sides
b=2.11181
the side legnths are 19.8882 units and 2.11181 units
N = 20, r = 15;
n C r = ( n * ( n - 1) ( n - 2 ) ... ( n - r + 1 )) / r ! =
20 C 15 = (20 * 19 * 18 * 17 ......8 * 7 * 6) / (15 * 14 * 13 ...* 5 * 4 * 3 * 2 * 1) =
= 15,504
Answer:
They can choose 15 questions in 15,504 ways.
9514 1404 393
Answer:
11.3 units
Step-by-step explanation:
The distance can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)
d = 8√2 ≈ 11.3
The distance is approximately 11.3 units.
