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4 years ago

Solve for x: 3+x=2x=?

Mathematics

2 answers:

worty [1.4K]4 years ago

7 0

Answer:

X=3

Step-by-step explanation:

3+x=2x

Collect like terms

3=2x-x

3=x.

X=3

Leokris [45]4 years ago

4 0

Answer:

x=3

Step-by-step explanation:

3+x=2x

Subtract x from each side to get the variable on one side

3+x-x=2x-x

3 = x

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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

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

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4 years ago

What should the graph of two lines look like when there are no solutions that they have in common?

nataly862011 [7]

If the graphs of the equations do not intersect

4 0

2 years ago

Read 2 more answers

Expand (3x+2)^4 and show your work.

AysviL [449]

You have to distribute the exponent of 4 to the whole equation.
so step one is to distribute to the 3
3^4= 81
then we have to distribute to the x
x^4
then to the 2
2^4= 16
81 * x^4 * 16
* = multiplication sign

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3 years ago

Please someone answer this

kirill [66]

Answer:

option 2.

the others are simultaneous equations in two unknowns but 7x-2y have the same value and the value can't be two different things at once

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3 years ago

Please help i will mark brainliest to correct answer

ankoles [38]

Answer:

Step-by-step explanation:

because 3x6 = 18

6 0

3 years ago

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