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Blizzard [7]
4 years ago
11

Which graph type would be best suited for showing the median population for the state capitals in the United States?

Mathematics
1 answer:
Anon25 [30]4 years ago
6 0
I’m pretty sure the answer is A. Bar Graph
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Bah bah black sheep have you any wool yes sir yes sir three bags full
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3 years ago
NO LINKS!! Please help me with this problem​
Vera_Pavlovna [14]

Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.

Now,

it's vertex is given, I.e (7 , -5)

so, length of semi transverse axis will be equal to distance of vertex from centre, i.e

  • a = 7 - 3 = 4 units

Now, it's focus can be represented as ;

\qquad \sf  \dashrightarrow \: (3 + ae,  - 5 )

so,

  • ae + 3 = 9

and we know, a = 4

\qquad \sf  \dashrightarrow \: 4e + 3 = 9

\qquad \sf  \dashrightarrow \: 4e = 6

\qquad \sf  \dashrightarrow \: e =  \cfrac{3}{2}

Now, let's find the measure of semi - conjugate axis (b)

\qquad \sf  \dashrightarrow \:  {b}^{2}  =  {a}^{2} ( {e}^{2}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9}{4}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9 - 4}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{5}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 20

\qquad \sf  \dashrightarrow \: b =   \sqrt{20}

So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

\qquad \sf  \dashrightarrow \:  \cfrac{ {(x - h)}^{2} }{ {a}^{2} }  -  \cfrac{( {y  - k)}^{2} }{ {b}^{2} }  = 1

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

\qquad \sf  \dashrightarrow \:  \cfrac{ ({x-3)}^{2} }{ {16}^{} }  -  \dfrac{ {(y+5)}^{2} }{ { {20} }^{} }  = 1

6 0
2 years ago
Read 2 more answers
What is 41:15 simplified
Alex787 [66]

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 41 and 15 is 1

Divide both the numerator and denominator by the GCD

41 ÷ 1

15 ÷ 1

Reduced fraction:

41

15

Therefore, 41/15 simplified to lowest terms is 41/15.

4 0
3 years ago
Find the least common denominator for these
IgorLugansk [536]

Answer:

this is the stuff i meed help on

6 0
3 years ago
Faheem wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular
Vladimir [108]

Answer:

Substitute the slope and the coordinates of point P in y = mx + b and then solve for b for each equation.

Step-by-step explanation:

6 0
4 years ago
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