3 years ago

Express 90 as a product of its prime number

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

The prime factorization of 90 is 2*3^2*5

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Answer:

16n+2.50

Step-by-step explanation:

if you multiply 16 by 3 that gives you cost of three tickets and then add the 2.50 fee gives you the total

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3 years ago

What value of x is in the solution set of 2(3x - 1) >equal to 4x - 6

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Answer:

x»-2

Step-by-step explanation:

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2 years ago

This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)

beks73 [17]

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From the question, the center of the hyperbola is

$\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}$

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

$\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}$

But equation of a hyperbola is given as

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

Substituting the values of a, b, h and k, we have

$\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}$

Hence the answer is

$\frac{x^2}{1}-\frac{y^2}{3}=1$

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1 year ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%3D%20%5Cfrac%7Bx%20-%204%7D%7B3%7D" id="TexFormula1" title="\frac{5}{

valentina_108 [34]

Step-by-step explanation:

$\frac{5}{2} = \frac{x - 4}{3}$

$3 \times \frac{5}{2} = \frac{x - 4}{3}$

$\frac{3}{1} \times \frac{5}{2} = \frac{x - 4}{3}$

cross multiplication

$\frac{6 \times 5}{2} = \frac{x - 4}{3}$

$15 = \frac{x - 4}{3}$

$15 \times 3 = x - 4$

$45 + 4 = x$

$49 = x$

4 0

3 years ago

Read 2 more answers