Answer:
the linear function gives us the points
(0,3)
(4,0)
(8,-3)
find the equation
hm
find slope
(y2-y1)/(x2-x1)
for (0,3) and (4,0)
slope=(0-3)/(4-0)=-3/4
y=-3/4x+b
given
(0,3)
y=-3/4x+3
so sub -3/4x+3 for y in other equation
(-3/4x+3)^2+x^2=4
expand
9/2x^2-9/2x+9+x^2=4
11/2x^2-9/2x+9=4
times 2 both sides
11x^2-9x+18=8
minus 8 both sides
11x^2-9x+10=0
factor
or use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
2a
−b+/−
b
2
−4ac
11x^2-9x+10=0
x=\frac{-(-9)+/- \sqrt{(-9)^2-4(11)(10)} }{2(11)}
2(11)
−(−9)+/−
(−9)
2
−4(11)(10)
x=\frac{9+/- \sqrt{81-440} }{22}
22
9+/−
81−440
x=\frac{9+/- \sqrt{-359} }{22}
22
9+/−
−359
we see we have no real roots
there are no intersection points
#Carry on learning
#Correct me if I'm wrong
Answer:
Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:
Square of the sum:
In this question:
So
Answer:
$212.24
Step-by-step explanation:
Start: $200
After 1 year: $200 * 1.02 = $204
After 2 years: $204 * 1.02 = 208.08
After 3 years: $208.08 * 1.02 = $212.24
Answer: $212.24
Answer:
x = 8√3
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
√x² = √192
x = √64 √3
x = 8√3
