There are 5 red marbles and 7 blue marbles in a bag What is the ratio of blue marbles to red marbles?

Mathematics

2 answers:

mash [69]2 years ago

6 0

Correct Answer would be: 5/7

AleksandrR [38]2 years ago

3 0

Answer:

5:7

Step-by-step explanation:

For how many red are there blue, is the simple form of this question. In this case the numbers are small for simplifying it but if you wanted to you could do 2.5:3.5 its the same thing, also 10:14 would be right as well as long as the numbers are proportionate. For the smaller simplification i just divided both numbers in half and for the second i doubled them

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Read 2 more answers

A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3

fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

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

$\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7$