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2 years ago

What is the solution of the equation 6+q=25 1/2

Mathematics

2 answers:

Pepsi [2]2 years ago

7 0

Answer:

$q=19\frac{1}{2}$

Step-by-step explanation:

Step 1: Subtract 6 from both sides

$6 + q = 25\frac{1}{2}$

$6 -6 + q = 25\frac{1}{2}-6$

$q = (25-6)\frac{1}{2}$

$q=19\frac{1}{2}$

Answer: $q=19\frac{1}{2}$

Hope this helps! Let me know if you have any questions

scoundrel [369]2 years ago

3 0

Answer:

q = 19 1/2.

Step-by-step explanation:

Unknown value is q.

Solve for the unknown value:

6 + q = 25 1/2
q = 25 1/2 - 6
25 1/2 - 6
= 19 1/2.
q = 19 1/2.

<h2>Answer is q = 19 1/2.</h2>

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The equation of a circle in the center-radius form is:

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Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

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Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

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We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

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We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

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Rearranging:

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At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

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