X^2 - 10x + 8 =0
x^2 - 10 + (-10/2)^2 - (-10/2)^2 + 8 = 0
(x - 5)^2 - 25 + 8 = 0
(x - 5)^2 - 17 = 0
To be honest , this is the final step for this equation. It seems like there is no any suitable answer for this question..
To me , I think the best answer will be the third option.
x - 5 =0
x = 5
2x-10 = 0
2x = 10
x = 5
I guess this answer seems like legit.. So I will choose the third option.
i would say C. because since its 4 times the radius then you factor in thats only half of the circle then you factor in the other side which makes it 8 hope this is true
Answer:
3
Step-by-step explanation:
At the end of the third year the population of beetles will be 11,576beetles
<h3>Exponential equations</h3>
The standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: brainly.com/question/12940982
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Answer:
a) P=2(L+W)
b)
c)-2 inch/hour
Step-by-step explanation:
given:
length of the rectangle as L inches
width of the rectangle as W inches
a) The perimeter is defined as <u>the measure of the exterior boundaries</u>
therefore, for the rectangle the perimeter 'P' will be
P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)
Now from figure
P= L+W+L+W
OR
=> P=2L+2W .....................(1)
b)now dp/dt can be found as by differentiating the equation (1)
.............(2)
c)Now it is given for the part c of the question that
L=40 inches
W=104 inches
dL/dt=2 inches/hour
dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)
substituting the above values in the equation (2) we get
