Length = 20 ft
If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.
Perimeter formula is ((Width × 2) + (Length × 2))
10 × 2 = 20
20 × 2 = 40
40 + 20 = 60
Answer:
84/90
Step-by-step explanation:
Let 0.9333....... be x.
10x = 9.3333....... & 100x = 93.33333.......
So,
=> 100x - 10x = 93.33333...... - 9.333333.....
=> 90x = 84
=> x = 84/90
These calculations are based on the drawing of the file enclosed.
There are three right triangles.
From the big right triangle:
a^2 + b^2 = 25^2
From the small right triangle on the left side:
(25-x)^2 + 10^2 = a^2
From the small right triangle on the right side
x^2 +10^2 = b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2
=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2
=> x^2 -50x + 100 =0
Use the quadratic formular to find the roots:
x = 2.1 and x = 47.9
Distance from back: 25 - 2.1 = 22.9 ft
Answer: 22.9 ft
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
We know the rational zeros theorem such as:
if 
is a zero of the function 
,
then 
.
As the is a polynomial of degree 
, hence it can not have more than real zeros.
Let us put certain values in the function,
, 
, 
, 
,
, 
, 
, 
, 
From the above calculation results, we determined that zeros as
and 
.
Hence, we can check that
Observe that,
, increases rapidly, so there will be no zeros for 
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
