Given that parabola has a focus of (-1,2) and directrix of x=5, Matching the steps with the equations we shall have:
1. Use (x,y)⇒choose a point from the parabola.
2. √[(x+1)²+(y-2)²]⇒Find the distance from the focus to the point on the parabola
3. √(x-5)²⇒Find the distance from the point on the parabola to the directrix
4. √[(x+1)²+(y-2)²]=√(x-5)²⇒Set the distance from focus to the point equal to the distance from directrix to the point
5. (x+2)²+(y-2)²=(x-5)² ⇒Square both sides and simplify
y²-4y+4=-12x+24
6. x=-y²/12+y/3+5/3⇒Write the equation of the parabola
Answer:
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Step-by-step explanation:
7. The slope is the number with the x next to it, so it would be -6x
8. The y-Intercept is the number WITHOUT the x, in this case would be -5
9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3
10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!
Answer:
5 weeks
Step-by-step explanation:
Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.
To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60
Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:
(70)(.6) = 42
Therefore, Kendra saves $42 each week.
To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:
(210)/(42) = 5
All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
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