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3 years ago

A club puts its members into 5 groups for an activity. After 7 students have to leave early,

Mathematics

2 answers:

Vlad [161]3 years ago

6 0

Answer:

I think that there were 12 students in each group fam.

Step-by-step explanation:

LuckyWell [14K]3 years ago

5 0

Answer:

i believe it is 12

Step-by-step explanation:

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use the information provided to write the standard form equation of each hyperbola vertices:(4,14), (4,-10) foci: (4,15), (4,-11

Evgen [1.6K]

So... if you notice the picture below, based on the given vertices, is a hyperbola with a vertical traverse axis

meaning for the equation, the fraction with the "y" variable is the positive fraction, thus $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1$

so... what' the point h,k for the center? well, just take a peek at the graph, the center is half-way between both vertices, that's h,k

what's the "a" component or the traverse axis... well, is the distance from one vertex to the center, notice the picture, notice how many units from either vertex to the center, that's "a"

now.. what's "b"? well, "b" comes from the conjugate axis, or the other runnning over the x-axis hmm the smaller one in this case.... well, we dunno what "b" is

however, we know the distance from either focus, to the center of the hyperbola, and that distance "c", is $\bf c=\sqrt{a^2+b^2}$

notice the picture, notice the distance from either focus to the center, that's the distance "c", thus $\bf c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b$

that'd be "b"

bearing in mind that $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center= ({{ h}},{{ k}})\\\\ b=\sqrt{c^2-a^2}
\end{cases}$

8 0

3 years ago

-12 Whole numbers Integers Rational numbers

natali 33 [55]

Answer:

-12 is an integer

it says the answer needs to be 20 characters long so... qwertyuiopasdfghjklzxcvbnm Sorry

5 0

3 years ago

Alonso brings \$21$21dollar sign, 21 to the market to buy eggs and avocados. He gets eggs that cost \$2.50$2.50dollar sign, 2, p

LiRa [457]

Answer:

B ≤ 3.7

Step-by-step explanation:

Total money with Alonso = $21

Cost of Eggs = $2.50

Cost of Avocados in bags of 3 = $5

Let

B = number of bags of avocados that Alonso buys.

The inequality is:

Cost of Eggs + Cost of Avocados in bags of 3 ≤ Total money with Alonso

2.50 + 5B ≤ 21

5B ≤ 21 - 2.50

5B ≤ 18.5

B ≤ 18.5/5

B ≤ 3.7

The number of bags of avocados Alonso bought can be represented by B ≤ 3.7

6 0

3 years ago

James' little brother has a plastic box in the shape of a rectangular prism. The plastic box is 912 inches long, 512 inches wide

Anna35 [415]

Multiply 912 x 512 x 3 = ? then divide your answer by 12 .

7 0

3 years ago

Fifteen bicyclists entered a race. In how many different orders can the top five finish so that awards can be given?

postnew [5]

Answer:

They can finish the race in 15 x 14 x 13 x 12 x 11 = 360360 order.

Step-by-step explanation:

There are 15 bicyclists in the race. The first position would come from the first bicyclist to the 15th. Meaning the first position can be occupied by 15 individuals. The second position can only be occupied by 14 individuals since one person is already first. Same way the third, fourth and fifth positions can be occupied by 13, 12 and 11 individuals respectively.

Therefore, they can finish the race in

15 x 14 x 13 x 12 x 11 = 360360 order.

5 0

2 years ago