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Airida [17]
3 years ago
12

PLEASE HELP ME

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

thursday, Tuesday, monday, Wednesday

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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
What is 960 divided by 8 long divison
Llana [10]
It is 120 because first 8 goes into 96 which is 12. just add the 0 since u cant do anything else and it’s 120.
5 0
2 years ago
Read 2 more answers
What is 4-2x+8+5x simplified
sveta [45]

Answer: it is 3 • (x + 4)

Step-by-step explanation: We move all terms to the left:

4-2x+8-(+5x)=0

We add all the numbers together, and all the variables

-2x-(+5x)+12=0

We get rid of parentheses

-2x-5x+12=0

We add all the numbers together, and all the variables

-7x+12=0

We move all terms containing x to the left, all other terms to the right

-7x=-12

x=-12/-7

x=1+5/7We move all terms to the left:

4-2x+8-(+5x)=0

We add all the numbers together, and all the variables

-2x-(+5x)+12=0

We get rid of parentheses

-2x-5x+12=0

We add all the numbers together, and all the variables

-7x+12=0

We move all terms containing x to the left, all other terms to the right

-7x=-12

x=-12/-7

x=1+5/7

6 0
3 years ago
Read 2 more answers
A shop keeper bought 26 apples from a fruit vendor for $37.70. How much did each apple cost?
Semenov [28]
You have to divide 37.70. By 26
3 0
3 years ago
Read 2 more answers
Indicate whether the study is an observational study or a controlled experiment. A group of boys is randomly divided into two gr
MariettaO [177]

Answer:

Controlled Experiment

Step-by-step explanation:

The controlled experiment involves the experiment in which all factors are considered as constants whereas one factor is not fixed and that one is independent variable whose effect is to be tested. In short,  in controlled experiment one group of data contains control group and one or more other groups are examined by considering all other factors constant except for one factor. The control group is the group that doesn't receive any treatment whereas treatment is applied to experimental group and then effect of treatment is measured through comparing both groups.  

Here group of boys is divided in to two groups

The group watched violent cartoon= Experimental group

The group watched  cartoons without violence= Control group

The researchers want to know whether the violent actions of boys are linked to violent cartoon  and for this purpose these boys are divided into experimental group and control group and after 1 hour of cartoons watching the researcher will observed boys for next two hours.

Hence the study is Controlled experiment.

6 0
3 years ago
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