All categories

3 years ago

What is (x+2) times 1 over x ???

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

(x + 2)/x

Step-by-step explanation:

(x + 2) × 1/x

= (x + 2)/x

You might be interested in

Part 4: Identify the vertex, focus and directrix of each. Then sketch the graph.

Nezavi [6.7K]

Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4

2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4

<u>Step-by-step explanation:</u>

Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.

(h, k) is the vertex
p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$\bullet\quad a=\dfrac{1}{4p}$

1) y = x² - 12x + 34

$y-34=x^2-12x\\\\y-34+\bigg(\dfrac{-12}{2}\bigg)^2=x^2-12x+\bigg(\dfrac{-12}{2}\bigg)^2\\\\\\y-34+36=(x-6)^2\\\\y+2=(x-6)^2\\\\y=(x-6)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(6,-2)\\$

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(6,-\dfrac{7}{4}\bigg)\\\\\\\text{Directrix: y= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad y=-\dfrac{9}{4}$

*******************************************************************************************

2) x = y² + 2y - 1

$x+1=y^2+2y\\\\x+1+\bigg(\dfrac{2}{2}\bigg)^2=y^2+2y+\bigg(\dfrac{2}{2}\bigg)^2\\\\\\x+1+1=(y+1)^2\\\\x+2=(y+1)^2\\\\x=(y+1)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(-2,-1)\\$

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(-\dfrac{7}{4},-1\bigg)\\\\\\\text{Directrix: x= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=-\dfrac{9}{4}$

4 0

3 years ago

What is the area of the triangle? 20 16 12 heh sorry !!!!!!

Delvig [45]

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

6 0

3 years ago

Read 2 more answers

What 2-dimensional shape would be formed by a perpendicular cross section of a soda can

Stella [2.4K]

Answer:

Rectangle

Step-by-step explanation:

We know that soda can is made in the cylinder shape when we cut a soda can in perpendicular cross section we get a 2D shape of Rectangle.

3 0

3 years ago

11. The test scores of 20 students are shown below.

daser333 [38]

Your answer would be 10.6

3 0

3 years ago

A large dining room table is in the shape of a semi circle diameter 12 feet. What is the square feet closest to the area ? Radiu

Zarrin [17]

No, the radius is not 3.14 . The radius is 1/2 of the diameter . . . That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .

The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.

But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.

That's called the "area" of the table, not the "square feet" of the table.

And another thing: I see you're asking for the "closest" number. Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.

7 0

3 years ago