Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 + x^2=6^2
Combine like terms
2x^2 = 6^2
Divide each side by 2
x^2 = * 6^2/2
Take the square root of each side
sqrt(x^2) =± sqrt( 6^2/2)
Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)
x = ±sqrt(6^2)/sqrt(2)
x = ±6 /sqrt(2)
We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)
x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)
x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))
x = ±6 sqrt(2) /(2)
x = ±3 sqrt(2)
Hello :
the center of this cercle is : O( 0, 0)
calculate the slope m of the line : OA .. A (3,-4)
m= (yA - yO) / (xA- xO)
m = (-4-0)/(3-0)
m= -4/3
if : k the slope of the tangent : k×m = -1 (the tangent perpendiclar of : OA)
k× (-4/3) = -1
k = 3/4
an equation of this tangent is : y - (-4) = (3/4)(x-3)
The answer is True hope this helps
Answer:
A ≈ 75 in²
Step-by-step explanation:
the area (A) of the circle is calculated as
A = πr² ( r is the radius )
here r = 5 and using 3 for π , then
A = 3 × 5² = 3 × 25 = 75 in²
<h3>
Answer: 76/4995</h3>
========================================================
Explanation:
x = 0.0152152...
10x = 0.152152...
10000x = 152.152...
Subtract the last two equations to find that
- 10000x-10x becomes 9990x on the left side
- 152.152... - 0.152152... becomes 152 on the right side
We're left with the equation 9990x = 152 which solves to x = 152/9990
Divide both parts of that fraction by 2 so that the fraction fully reduces to 76/4995 which is the final answer
You can use your calculator to see that 76/4995 = 0.0152152152152... which confirms the answer.
