Step-by-step explanation:
3y/3=9-4x/3
y=3-4x/3
slope=x= -4/3
y intercept
y=3-4(0)/3
y=3-0
y=3
Y/x=k
when y=9, then x= -3
9/-3=-3
⇒ k= -3
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
Original price reduced by 30%
Step-by-step explanation:
You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.
The general equation of second degree is
Ax²+By²+Gx+Fy+C=0 ------1
Now the given conditions are
A=1, B=0, C=0
Now,
putting in eq. 1
x²+Gx+Fy=0
x²+Gx= -Fy
For completing square, add both side (G/2)²
x²+Gx+(G/2)²=-Fy+(G/2)²
(x+G/2)²=-F(y-G²/4F)
Or
X²=-FY where X=x+G/2, Y=y-G²/4F
which is the standard eq. of parabola in XY-coordinate.
