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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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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

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The length of a Diameter is 3.714

7 0
3 years ago
Read 2 more answers
??????????????????????
natita [175]

Answer:

Figure out what x is for both equations, then you can tell if the equations are the same

Step-by-step explanation:

1. 4x+1=9

x = 2

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x = 2

2 x 2 = 4

4 does not = 9 so no.

4 0
3 years ago
What is 45.908 divided by 300.6?
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3 years ago
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