Answer:
use pythagorean's theorem; x=6
Step-by-step explanation:
a^2 + b^2 = c^2
a=length; b(x)=height; c= hypotenuse (longest side)
8^2 + b^2 = 10^2
64 + b^2 = 100 (subtract 64 from each side)
b^2= 36
6 x 6 = 36 so b=6
x=6
Answer:
Rate of growth of bacteria when t=2 is 3.09 bacteria/hour
Step-by-step explanation:
As equation is not given so considering the Equation of growth of bacteria as
We have to find the rate at which population is growing. To do so differentiate above equation w.r.to 't'
Rate of growth of bacteria when t=2 is 3.09 bacteria/hour
NOT MY WORDS TAKEN FROM A SOURCE!
(x^2) <64 => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2 so (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y) You can work backwards and verify this is true. so let's set (x^2) - (8^2) equal to zero to find the roots: (x^2) - (8^2) = 0 => (x-8)*(x+8) = 0 if x-8 = 0 => x=8 and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0 so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.
Hope this helped!
:)
Answer: B
Step-by-step explanation: Mr. Inderhees added 5 to each side of the equation for his first step to isolate the <em>x</em> term which in this case is 4x.
So when he added 5 to both sides of the equation, he got 20 = 4x.
Answer:
i think it would be SAS, sorry if I'm wrong!
Step-by-step explanation:
