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Alchen [17]
2 years ago
7

Twenty-five less two times a number, x, is fifteen.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
8 0

Answer:

x=20

Step-by-step explanation:

2x-25=15

2x=40

x=20

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Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
A rope is 225 centimeters long.
n200080 [17]

Answer:

This is impossible, unless you meant centimeters. If you did, then the answer would be 113.

Step-by-step explanation:

225 - 112 = 113.

8 0
3 years ago
6=−w8 how can i solve this
Vaselesa [24]
Divide 6 by -8 to get the variable alone!
6/-8 < division< equation
4 0
3 years ago
If you are standing 300ft from a building and the building is 200 ft tall, what is the angle of elevation formed with the ground
valentinak56 [21]
The answer is 49.2ft I think
6 0
2 years ago
Which choice correctly shows the solution(s) of the equation x2 = 400?
Arada [10]

x2=400

x=√400

=20

20^2=400

5 0
3 years ago
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