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Luda [366]
3 years ago
14

Solve the system of equations. Use any method you prefer y = 2x + 5 -2x - y = - 1

Mathematics
1 answer:
Liula [17]3 years ago
8 0
Please please help please help me please please help me



1
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What is the equation of a parabola with (4, 6) as its focus and y = 2 as its directrix?
antoniya [11.8K]
So  hmmm if you notice the picture below

bear in mind that, the vertex is "p" distance from the focus, and "p" distance from the directrix

now, the focus is at 4,6 and the directrix below that, meaning the parabola is vertical and opening upwards

and the vertex is half-way between the focus point and the directrix

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\
(x-4)^2=4(2)(y-4)\implies (x-4)^2=8(y-4)
\\\\\\
\cfrac{(x-4)^2}{8}=y-4\implies \cfrac{1}{8}(x-4)^2+4=y

4 0
4 years ago
An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Westkost [7]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
What investment/savings options has the greatest risk?
JulijaS [17]
Stocks / Equity Investments include stocks and stock mutual funds. These investments are considered the riskiest of the three major asset classes, but they also offer the greatest potential for high returns.
3 0
3 years ago
Please help me with math please please
Law Incorporation [45]

Answer:

subtract 42 - 7

Step-by-step explanation: u always solve the parenthesis first

6 0
3 years ago
How many years will it take for 20$ to grow to 100 if the simple interest rate is 4% annually
cestrela7 [59]

The formula for simple interest is:

Total = Principal(1+ Rate x time)


You are given:

Total = $100

Principal = $20

Rate = 4%


You are asked to find the time.

Replace everything known in the formula:


100 = 20(1 +0.04 x Time)

Now solve for Time:

Divide each side by 20:

5 = 1 + 0.04 x Time

Subtract 1 from each side:

4 = 0.04 x time

Divide each side by 0.04:

Time = 4 / 0.04

Time = 100 years.



3 0
3 years ago
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