<span>Here you go .. ordered as you wish ..
0.836
</span><span>0.683
</span><span>0.386
</span><span>0.3</span>
First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.
Formula to find distance given two points.
Square root (X2 - X1)^2 + (Y2 - Y1)^2
Xa Ya Xb Yb
A = (3, -4) B = (-1, 3)
Xa goes into X2 and Xb goes into X1
(3 - (-1))^2
Ya goes into Y2 and Yb goes into Y1
(-4 - 3)^2
Square root (3 - (-1))^2 + (-4 - 3)^2
Square root (4)^2 + (-7)^2
Square root 16 + 49
Square root 65
= 8.06
The error was Drako had (3 - 4)^2 when it should have been (3 - (-4))^2 because a positive is subtracting a negative.
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
B, The initial number of bacteria increases at a rate of 24% each day.
Step-by-step explanation:
I think the answer is B because it is the one that closely matches the problem. 312 is multiplied by 1.24 with an exponent. Just eyeballing it, it's multiplied by itself and then an increase of 24%. Also, none of the other statements seem to be correct, D not even making sense in the scope of the problem. Hope this helps, good luck.
