Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
Step-by-step explanation:

Given equaiton is in the form of ax^2 +bx+c=0
we apply quadratic formula to solve for x

a= 1 b = -12 and c= 59



Divide the 12 and square root terms by 2

so
and 
Answer:
The approximate number of years until the species is extinct will be 9 years
Step-by-step explanation:
We are given
The population of a species is modeled by the equation

where
t is the number of years
we have to find time when species extinct
we know that any species will be extinct only if population of that species becomes 0
so, we can set P(t)=0
and then we can solve for t

we can factor it


we get t value as imaginary for this equation



So,
the approximate number of years until the species is extinct will be 9 years
Given expression 3² × 3⁻⁵
We will apply the power rule

3² × 3⁻⁵ = 3²⁺⁽⁻⁵⁾ = 3²⁻⁵ = 3⁻³
We will then apply the power rule

3⁻³ =

Final answer:
Answer:
Slope intercept form is y=mx+b. M= -1, which means your slope is -1. So far the equation is y=-x+b. Now you need to find b which is the y-intercept. To find b, you will use the point (1,3). You will plug it in into the equation, it will look like this 3=-1(1)+b. Now you solve for b. Multiply -1 and 1 you get -1. Add 1 to both sides and you have b=4. So the equation is y=-x+4. So to find k, plug in the point (k,6). It will look like this 6=-k+4. Subtract 4 on both sides. 2=-k is what you have so far. Divide by -1 on both sides. THE ANSWER IS K=-2.