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sweet [91]
3 years ago
10

State whether the equation is true, false or open? 4y+8=6y+3

Mathematics
2 answers:
g100num [7]3 years ago
8 0

<u><em>Answer:</em></u>

Open


<u><em>Explanation:</em></u>

An open equation is an equation that has variables and CAN be solved

<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2

A false equation is one where both sides can NEVER be equal

<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7

A true equation is one having no variables and both sides are ALWAYS equal

<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7


Now, the given equation is:

4y + 8 = 6y + 3

Let's try to solve is:

4y + 8 = 6y + 3

6y - 4y = 8 - 3

2y = 5

y = 2.5


Therefore, the given equation contains a variable and can be solved which means that it is an open equation


Hope this helps :)

Valentin [98]3 years ago
3 0
4y + 8 = 6y + 3

4y - 6y = 3 - 8

-2y = -5

y = -5/-2

y = 2.5

Hence since the equation has a solution so it is true. 
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Answer:

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With reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC <em>never passes through a point with integer coordinates</em>. (Any point with integer coordinates would be on a line with rational slope.)

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The line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.

The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...

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Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The m\angle CAB and m\angle CAD.

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

m(arcADC)=m(arcAD)+m(arcDC)

228^\circ=180^\circ+m(arcDC)

228^\circ-180^\circ+=m(arcDC)

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m\angle BAD=m\angle CAB+m\angle CAD

90^\circ=m\angle CAB+24^\circ

90^\circ -24^\circ=m\angle CAB

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Therefore, m\angle CAB=66^\circ and m\angle CAD=24^\circ.

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