Can someone help please?

Mathematics

2 answers:

kherson [118]2 years ago

4 0

Answer:

Step-by-step explanation:

Because rational numbers always terminate

Varvara68 [4.7K]2 years ago

3 0

The answer is a because it is not repeating the same numbers/rhythm

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Bill went to the movies with some of his friends. tickets cost $8.50 each . they spent $18.00 total for food . their total was $

Marina86 [1]

18.00 + 8.50 + 8.50 + 8.50 + 8.50 = 52.00

So that's 4 Friends

4 0

3 years ago

Write an expression to represent three minus the product of two and a number x

Rainbow [258]

<em>3 minus ___</em> ⇒ 3 - ___

<em>the product of 2 and a number x</em> ⇒ 2x

"3 minus the product of 2 and a number x" ⇒ 3 - 2x

_____

Each part of the description has a translation.

7 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

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