Given f(x)=4x-6 and g(x)=8x+4 findthe value of x for which f(x)=g(x)
1 answer:
The value of "x" is
<em><u>Solution:</u></em>
Given f(x) = 4x - 6
g(x) = 8x + 4
<em><u>To find: value of x when f(x) = g(x)</u></em>
We can equate f(x) and g(x) as per given statement and solve for x
f(x) = g(x)
<em><u>Substituting the values of f(x) and g(x) in above expression,</u></em>
4x - 6 = 8x + 4
4x - 8x = 4 + 6
-4x = 10
On solving,
Thus value of "x" is
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This problem is about the distance between points, in this case, we have to unidimensional coordinates, that is, point O is at -2, and Point V is at 1/2.
It's important to know that the proper way to find the distance here is by subtraction, we need to subtract the final points and the initial point. In math, such subtraction is called "differential" or "variation", just a fancy name.
Answer:
π/2 : 1 or π : 2
Step-by-step explanation:
In the attachments I have a picture of a square inscribed in a circle.
Call the side of the square a. Therefore, the area of the square is a^2.
We can also see that the diagonal of the square is the circle's diameter.
Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.
We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.
Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.
