Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2
for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
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Answer:
960
Step-by-step explanation:
The simple interest formula is the following:
I = P*r*t
Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.
In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.
So, the interest will be:
I = 4000*0.08*3 = 960
This is relatively easy because that 25 is a perfect square, whose (square) roots are 5 and -5. x^2-10x+25 = (x - 5)(x - 5). Note how (-5)(-5) = +25, and how -5x - 5x = -10x.
The roots are { (x-5), (x-5) }.
Answer: y = 3x+2
Step-by-step explanation:
slope = (62-32)/(20-10)
point-slope form -> y - 32 = 3(x -10)
y = 3x+2
