Answer:
60
Step-by-step explanation:
K is the constant of proportionality or unit rate
(x, y)
(0, 0)
(2, 120)
(3, 180)
(4, 240)
120/2=60
180/2=60
240/2=60
The constant of proportionality or unit rate is 60
Answer:
4 killer whales
Step-by-step explanation:
The dimensional analysis is ...
(whales/ft³)(ft³/tank) = whales/tank
Putting the numbers with the units, we get ...
(1.1142·10^-5 whales/ft³)(3.5900667·10^5 ft³/tank) = 4.00005... whales/tank
The maximum number of killer whales allowed in the main show tank is 4.
Answer - D.
you basically find the equation of the line first and eliminate the wrong answers...
Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,
First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2
replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others
Hope you get it!
Answer:

Step-by-step explanation:
If the complex number
is a root of a cubic function, then the complex number
is a root too. Thus, the cubic function has three known roots
and can be written as

Answer:
65 units²
Step-by-step explanation:
10 × 13 = 130
130 ÷ 2 = 65