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cricket20 [7]
3 years ago
9

Calculate the slope of the line that contains the points (-2, -4) and (2, 4).

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

Slope is 2

Step-by-step explanation:

(-2, -4) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(2+2)

m=8/4

m = 2

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Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).
creativ13 [48]
So hmm check the picture below

we know the vertex is at the origin, and the focus point is below it, that means two things, the parabola is vertical and it's opening downwards

notice the distance "p", from the vertex to the focus point, is just 7 units, however, since the parabola is opening downwards, the "p" value will be negative, so p = -7

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{4{{ p}}(y-{{ k}})=(x-{{ h}})^2 }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
4{{ p}}(y-{{ k}})=(x-{{ h}})^2\quad 
\begin{cases}
h=0\\
k=0\\
p=-7
\end{cases}\implies 4(-7)(y-0)=(x-0)^2
\\\\\\
-28y=x^2\implies y=-\cfrac{1}{28}x^2

8 0
3 years ago
What is the solution?
azamat

Answer: The solution is (4, -4)

4 0
3 years ago
How to find Lateral area of this rectangular prism??<br><br>Plzz help me it is due tomorrow!!
yaroslaw [1]

Answer:

132 square millimeters

Step-by-step explanation:

THe <u>lateral area</u> of a rectangular prism is the side areas. That is

all 4 sides of the rectangular prism (that are rectangles each).

So, we find each side area and add them up.

The area of a rectangle is:

Area = length * width

The left side (in gray) is 9 mm x 3mm, so area:

area = 9 * 3 = 27

The right side rectangle is same, so that would have an area of:

area = 9 * 3 = 27

Now, the front side's measurement is 3 x 13, so the area is:

Area = 3 * 13 = 39

THe back is same, so the area would be:

Area = 3 * 13 = 39

<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>

6 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER <br> IMAGE DOWN BELOW!
Basile [38]

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

5 0
2 years ago
A 1970 comic book has appreciated 7% per year and originally sold for $0.35. What will the comic book be worth in 2017?
omeli [17]
You tell me if this makes sense to you.

It's 47 years from 1970 to 2017 so you would need to multiply 7% by the 47 years.

So: 0.07x47= 3.29 

Now you should add your new price to your original price: $3.29+$0.35= 3.64

So it should cost $3.64 now. Yes that does seem kind of low but that's how you do it.

I hope this helps :)
6 0
3 years ago
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