Answer:
the width is 10 m
Step-by-step explanation:
if the relationship between area and width is
A = 80*w − w²
for an area A=700 m² , we have
700 m² = 80*w − w²
w² - 80*w + 700 m² = 0
aw² + b*w + c = 0
where a=1 , b=-80 and c=700
this quadratic equation has as solution the following formula
w = [-b ± √ ( b² - 4*a*c) ]/(2*a)
replacing values
w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2
then
w₁=(80 - 60)/2 = 10 m
w₂ =(80 + 60)/2 = 70 m
since the area has the form A= length * width = 80*w − w² = (80− w)*w
then the length of the rectangle is
length = 80− w
for w₁=10 m → length = 80− 10 = 70 m
for w₁=70 m → length = 80− 70 = 10 m
by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .
Thus the width is 10 m
Answer:
(x, y) = (1, 1/3)
Step-by-step explanation:
The x-coefficient in the first equation is -2 times that in the second equation, so adding twice the second equation to the first will eliminate x:
(4x -9y) +2(-2x +3y) = (1) +2(-1)
-3y = -1 . . . . simplify
y = 1/3 . . . . . divide by -3
The y-coefficient in the first equation is -3 times the y-coefficient in the second equation, so adding 3 times the second equation to the first will eliminate y:
(4x -9y) +3(-2x +3y) = (1) +3(-1)
-2x = -2 . . . . . . simplify
x = 1 . . . . . . . . . divide by -3
The solution is (x, y) = (1, 1/3).
Answer:
2.5
Step-by-step explanation:
youll have to multiply 4 times 5/8
Answer: 
and 
Step-by-step explanation:
To find the inverse, we will set f(x) equal to y, swap the x and y values, and then solve for y.
Given:
f(x) = x² - 25
Equal to y:
y = x² - 25
Swamp x and y values:
x = y² - 25
Add 25 to both sides of the equation:
y² = x + 25
Square root both sides of the equation:
and 
Interval notation:
<h2>
Hello!</h2>
The answer is:
<h2>
Why?</h2>
Let's explain with an example the definition of a multiple.
Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...
Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...
A multiple of a number is the repeated sum of itself, from the example:
Multiple of the number 1 are: Itself, (1+1), (1+1+1), (1+1+1+1), (1+1+1+1+1) and so...
Therefore,
Multiple of 
are:
Have a nice day!
