Answer: 12
40% = 40/100 = 0.40
"of" means "multiply" in percent word problems like this. Multiply 0.40 with 30 to get 0.40*30 = 12
Optionally, you can solve the equation below for x
part/whole = percent/100
x/30 = 40/100
x/30 = 0.40
x = 0.40*30
x = 12
much of those steps follow a similar pattern to what was mentioned earlier.
Answer: I think the answer is 4x^2/(4x+3) (x-1)
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
Answer:
$0.29 per orange
Step-by-step explanation:
3.48 / 12 = 0.29
Answer:
(x,y,z) = (1+s, 2-2s,3-7s)
Step-by-step explanation:
Given that a line in three dimension passes through two points a and b
We have equation of the line passing through two points
is
Substitute for the two points and equate to s
Simplify to write
Thus parametric form is
(x,y,z) = (1+s, 2-2s,3-7s)
