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3 years ago

Whats the answer to 2-3x=3x-4

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

Rearrange terms

{\color{#c92786}{2-3x}}=3x-4

{\color{#c92786}{-3x+2}}=3x-4

Subtract

from both sides

Simplify

Subtract

from both sides

Simplify

Divide both sides by the same factor

Simplify

solution:

x=1

Natali5045456 [20]3 years ago

5 0

Answer:

x=1

Step-by-step explanation:

2-3x=3x-4

6-3x=3x

6=6x

1=x

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3 years ago

The equation represents an ellipse. which point is the center of the ellipse? (−9, 5) (−5, 9) (5, −9) (9, −5)

Igoryamba

The point which is the center of the ellipse whose equation is; (y+5)²/121+(x-9)²/49=1 s in the task content is; (-5, 9).

<h3>Which point represents the center of the ellipse whose equation is given as; (y+5)²/121+(x-9)²/49=1?</h3>

It follows from convention that the equation of an ellipse usually takes the form;

(y-h)²/a²+(x-k)²/b²=1 in which case, the center of the ellipse is given by the point; (h, k).

On this note, By comparison of the actual equation and the standard equation, it follows that;

+5 = -h and consequently, h = -5,

-9 = -k and consequently, k = 9.

Ultimately, the point which is the center of the

ellipse is; (-5, 9).

Remark: The equation of the ellipse which is missing in the task content is; (y+5)²/121+(x-9)²/49=1

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2 years ago

Select the number line model that matches the expression |1/4 - 5/4|

Liula [17]

Answer:

Option C: None of the above

Step-by-step explanation:

1/4 - 5/4 = -4/4

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2 years ago

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).

lyudmila [28]

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

<h3>How to graph the dilated image?</h3>

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image