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AlladinOne [14]
2 years ago
13

An ellipse is represented by the equation . each directrix of this ellipse is a ________________________ from the center on the

major axis.
SAT
1 answer:
Anastasy [175]2 years ago
7 0

The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.

<h3>How to determine the distance of the directrix?</h3>

The equation of the ellipse is given as:

\frac{(x - 5)^2}{625} -\frac{(y - 4)^2}{225} =1

The above means that:

a^2 = 625

a = 25

b^2 = 225

b = 15

Calculate c using:

c^2 = a^2 - b^2

This gives

c^2 = 625 - 225

Evaluate the difference

c^2 = 400

Evaluate the square root

c = 20

The equation of the directrix is

x - x₀ = ± a²/c

So, we have:

x - x₀ = ± 625/20

Evaluate the quotient

x - x₀ = ± 31.25

This means that, each directrix is 31.25 units from the center on the major axis.

Read more about directrix at:

brainly.com/question/26109874

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Which student’s story is more interesting? i saw a snake. At first i thought it was an everyday garter snake. But after i looked
andriy [413]

There are different aspects to a story. The factors that makes this story interesting is that;

  • The writing style is exciting, and the author uses precise words.
  • The passage includes sensory details, such  as what the narrator saw and heard.
  • The passage makes it easy to decide how the  narrator felt during the event.
  • The event is told in a reasonable sequence.

There are different factors that can makes a story to be very interesting. Note that a  good story is centered around something that the audience do decides if it is interesting or vital.

A great story is known to comprise of the use of storytelling to make important news more interesting and it is known to be more than just to inform but to also adds value to the related topic.

See full question below.

What makes this story interesting? Check all of the boxes that apply.

The writing style is exciting, and the author  uses precise words.

I was hiking on a crisp, clear autumn morning  when a snake came slithering toward me. "It's  probably just a garter Snake," I thought. As  the snake slithered nearer, I spotted a rattle b at the tip of its tail. I jumped back with a gasp. The Snake was poisonous!

The passage includes sensory details, such  as what the narrator saw and heard.  The passage makes it easy to decide how the  narrator felt during the event. The event is told in a reasonable sequence.

Learn more about stories from

brainly.com/question/11728058

7 0
2 years ago
A job candidate at a large job fair can be classified as unacceptable
Llana [10]

Answer:

True

Explanation:

There are 3 different classifications:

-unacceptable

-provisional

-acceptable

7 0
2 years ago
A grocery store has two recycling machines
Thepotemich [5.8K]

Answer is 112%

kinda skeptical about my answer but i am going to give it my best shot, sorry if i get it wrong.

In percent-type questions I always go by this formula:

not a %                            %

original number       :     100%

new number            :      new %

original number × new %  =  new number × 100%

here, the original numbers are 240 and 180 and the new % is +30% and -10% now let plastic be P and metal be M and let's elaborate this a bit further

plastic:

the first recycling machine took in 240  plastic bottles while the second took in 30% <u>more</u> plastic bottles, what we have to do here is to find out how much bottles the second machine took in as a form of integer, which is the new number; let that new number be X, let's plug this in the formula

240:100+30\\X:130 \\

notice: 130 is the new %

240*130 = 100X\\31200 = 100X\\312=X

the second machine took in 312 plastic bottles, let's save this answer for later

metal:

the first recycling machine took in 180 metal cans while the second took in 10% <u>less</u> plastic bottles, we do the same thing and find the new number, this time let it be Y:

180:100-10\\Y=90

90 is the new % here; also, notice how sometimes you either add or subtract percents, depending on what the problem demands.

180*90=100Y\\16200=100Y\\162=Y

Now we can conclude that the first recycling machine took in 240  plastic bottles and 180 metal cans and the second took in 312 plastic bottles and 162 metal cans.

here comes the hardest bit to apprehend and the final part of this problem, "the second machine recycled what percent (%) more items than the first?"

in other words, how much percent did the second machine recycle more.

to find that percent, first we need to add the plastic and metal "items" of both machines individually and turn them into percents: let the first machine be A and second machine be B:

A: 240+180=420

B: 312+162=474

again, using the same formula to find the new percent, let that percent be Z; plugging both A and B respectively:

420:100\\474:Z

420Z=474*100\\420Z=47400\\Z= 112.857≈ 112% more items than the first

now if you check the rounded up 112 and plug it back in to make sure of your answer: 420Z=47400 you end up getting 47040, since it's rounded up, but when you plug the full 112.857 you get 47399.94, closest to 47400. Tip: when you plug in any value for check up, don't use the rounded up one.

At last, those steps are actually fast, especially with that formula it's so important. the explanation seems intimidating so read it slowly and take your time. if you have any other questions, feel free to ask. also, let me know if you know a faster method to solve this question. <3

4 0
3 years ago
What can you say about the series an in each of the following cases?
Likurg_2 [28]

The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.

<h3>What are the rules for Ratio Test for Convergence?</h3>

The rules are:

  • If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
  • The test is inconclusive if the limit is equal to 1.
  • The series is divergent if the limit is greater than 1.

Using this knowledge, we are able to state that

  • A is not conclusive.
  • C's convergence is absolute.
  • There is divergence with D and E.
  • B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.

The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.

Please see the attached for the full question and the link below for more about Ratio Test for Convergence:

brainly.com/question/16618162

Download txt
7 0
2 years ago
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