Answer:
(x-2)(x^2 +2x +4)/x
Step-by-step explanation:
X minus two into X squared plus 2X plus 4 whole by X(this should be the right answer)
Answer:
Part A) see the explanation
Part B) The initial value is 60 meters and the slope is 40 m/min (see the explanation)
Step-by-step explanation:
Part A) see the attached figure with letters to better understand the problem
we know that
If two triangles are similar then the ratio of its corresponding sides is proportional
In this problem
triangles ACD and ABE are similar by AA Similarity Theorem
so
----> equation A
Remember that the slope is equal to divide the change in the y-value by the change in the x-value
so
The slope AB is equal to 
The slope AC is equal to 
Rewrite the equation A

therefore
The slope of AB is equal to the slope of AC
Part B)
Let
x ---->the amount of time in minutes
y ----> the depth in meters
Find the initial value
we know that
The y-intercept or initial value is the value of y when the value of x is equal to zero
In this context the y-intercept is the depth of the shark when the time is equal to zero, so is the initial depth of the shark
Looking at the graph
For x=0
y=60 meters
therefore
The initial value is 60 meters
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to

Take two points from the graph
C(0,60) and B(1,100)
substitute
That means ---->The depth of the shark increases at the rate of 40 meters per minute
you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
it would be 4 years
Answer:
The answer is 60
105 net area with filled in shape
Subtract 45 = 60 net space.
The surface area is not 35 as surface area means net a net of a shapes area.
The reasons why is they filled in the shape and used the height x width
L x H = 7 x 5 = 35
but if we subtract 12 from 35 = 60/23 and we get 2.6
2.6 x 60 = 105 + 41 + 23 = 169
13 x 13 =169
14 x sides = 13 changes.
So therefore 13 changes in 14 shapes makes the product of 13 x 14 = 182
182 has 3 shapes so 182/3 =60
Step-by-step explanation:
Answer:
c = 9.4m is the answer
Step-by-step explanation:
a (length of the telephone pole) = 9m
b (distance between the pigeon and the pole) = 3m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
9² + 3² = c²
81 + 9 = c²
c² = 90
c = 9.4m
∴ the pigeon will fly 9.4m