<u>Answer:</u>

<u>Step-by-step explanation:</u>
Equation of parabola with focus at (0,-4) and directrix is
.
We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.
The parabola is opening downwards.
Let any point on parabola is (x,y).
Distance from focus(0,-4) to (x,y) = 








-10y^2 + (-3y^2) - 4y^2 - (-6y^2) =
-10y^2 - 3y^2 - 4y^2 + 6y^2 =
-17y^2 + 6y^2 =
- 11y^2
This is a sequence because the points form a straight line. The expression is: t(n) = 30 + 2x, x is number of weeks. On her 18th birthday, that is 8 years after her 10th. that means 416 weeks have passed since her 10th birthday. Plug 416 into the equation to get: t(416) = 30 + 2(416) = $862. She will have $862 to Spend.
Answer:
x∉R
Step-by-step explanation:
1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:
x=(-(-18)±√(-18)²-4×9×14)/2×9
2) Evaluate the power, calculate the product and multiply the numbers:
x=(18±√324-504)/18
3) Calculate the difference:
x=(18±√-180)/18
4) The square root of a negative number does not exist in the set of Real Numbers:
x∉R
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side