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love history [14]
3 years ago
13

In which quadrant is the point (–3, 5) located?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8
Gekata [30.6K]
First, let (x,y) be a point in our parabola. Since we know that the focus of our parabola is  the point (0,8), we are going to use the distance formula to find the distance between the two points:
\sqrt{(x-0)^{2}+(y-8)^{2}}

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix, y=c, is: |y-c|. Since our directrix is y=-8, the distance to our point will be:
|y-(-8)|
|y+8|

Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
\sqrt{(x-0)^{2}+(y-8)^{2}}=|y+8|
(\sqrt{(x-0)^{2}+(y-8)^{2}})^{2}=|y+8|^{2}
(x-0)^{2}+(y-8)^{2}=y+8

Finally, we can expand and solve for y:
x^2+y^2-16y+64=y^2+16y+64
x^{2}-16y=16y
32y=x^{2}
y= \frac{1}{32} x^2

We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>y= \frac{1}{32} x^{2}

3 0
3 years ago
-1.023 + 5.6 (show how you got the answer)
Rom4ik [11]

Answer:

-1.023 + 5.6 = 4.58

Step-by-step explanation:

1. Drop the 3 in -1.023, becoming -1.02

2. Add 0 at the end of 5.6, becoming 5.60

3. Here is the problem you now solve:

   -1.02 + 5.60. You can simply type this into your calculator. I hope this helped.

4 0
3 years ago
Read 2 more answers
Show your work<br><br> 7(x-8)=2x-31
victus00 [196]

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

3 0
3 years ago
Use the net to find the lateral area of the prism. 15 m 3 m 6 m 3 m 6 m
postnew [5]

Answer:

270 m²

Step-by-step explanation:

LA = (3+6+3+6)×15

= 18×15 = 270 m²

5 0
3 years ago
Is 9/27 squared rational?
aniked [119]
Yes because it can be expressed as a fraction (9/27)
4 0
3 years ago
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