What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4

The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 4). One branch has a vertex at (0, 10) a

Anuta_ua [19.1K]

Remember that

If the given coordinates of the vertices and foci have the form (0,10) and (0,14)

then

the transverse axis is the y-axis

so

the equation is of the form

(y-k)^2/a^2-(x-h)^2/b^2=1

In this problem

center (h,k) is equal to (0,4)

(0,a-k)) is equal to (0,10)

a=10-4=6

(0,c-k) is equal to (0,14)

c=14-4=10

Find out the value of b

b^2=c^2-a^2

b^2=10^2-6^2

b^2=64

therefore

the equation is equal to

<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>

6 0

1 year ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

Marina CMI [18]

Answer:2

Step-by-step explanation: two ones equal one two

8 0

3 years ago

In 2000, Florida's total population was 15,982,378 people and 183 out of every 1000 residents were 65 years and older. Determine

dmitriy555 [2]

Hello! There were 15,982,378 people living in Florida in 2000 and 183 out of 1,000 were ages 65 and over. That's 18.3% of all Florida residents, because 183/1,000 is 0.183 and 0.183 * 1,000 is 18.3. What you could do is multiply the amount of people living in Florida by the percentage, in this case, 18.3% (0.183). When you do that, you get 2,924,775.174 or 2,924,775 when rounded to the nearest whole number. Either way, you can't have part of a person. In the year 2000, there were 2,924,775 Florida residents 65 and older.

5 0

3 years ago

Points A,M and P are collinear with M in between A and P. If AP=29, AM =5x-3 and MP=8x+6, what does MP=?

charle [14.2K]

The length of MP is 22 units.

<h3>What is a Line Segment?</h3>

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure is given below shows a line segment AP, where the length of line segment AP refers to the distance between its endpoints, A and P.

Given that Points A, M and P are collinear with M in between A and P.

AP=29, AM =5x-3 and MP=8x+6,

A______________M______________P

⇒ AP = AM + MP

Substitute the values of AP = 29, AM =5x-3 and MP=8x+6,

⇒ 29 = 5x - 3 + 8x+6,

Rearranging the terms in the above equation,

⇒ 5x + 8x = 29 + 3 - 6

⇒ 13x = 26,

⇒ x = 26/13,

⇒ x = 2

So MP = 8x+6

Substitute the value of x = 2 in the above equation,

⇒ MP = 8(2) + 6

⇒ MP = 22

Hence, the length of MP is 22 units.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ1

6 0

2 years ago

Please help me!!! I don't understand this at all

Varvara68 [4.7K]

a) First, multiply the numbers 8 and 2, and we get 16.

Now, we have to multiply 16 and the algebraic notation “y”, we get the result of 16y.

<h3><u>Whenever you multiply the number(s) with algebraic notations, you need to multiply the number(s) and write the algebraic notation at the end.</u></h3>

<u></u>

b) Multiply the number 8 and the algebraic notation “y”, and we get the result 8y.

<em>Hope this helps :)</em>

3 0

1 year ago

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What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?