Answer:
1/25
Step-by-step explanation:
X+4multiply by y=7
Moved these terms to left-7
It becomes X+4 multiple y-7=0
X+4 multiple y-7=0
Pi = 3. Area of a circle = pi×r squared.
R is radius, and the radius of that circle is 11 m. therefore, 3.14×11 squared will give you your answer. Don't forget, exponent before multiplication
11^2 = 121
121×3 = 363 That's the area of the big circle.
Now, 11÷2 gives you the radius of the small circles. you get 4.5
4.5^2 = 20.25
20.25*3 = 60.75
That's the area of ONE small circle. double it and you have the area of 2.
60.75×2= 121.5
Now just subtract the area of the small ones from the area of the big one to find the area of the shaded region.
363-121.5= 241.5
Now, you're done!
Answer:
825 miles
Step-by-step explanation:
Divide starting number by nine to get 55. Then multiply 55 by 15 to get 825 miles
9514 1404 393
Answer:
3/(√(3(x+h)) +√(3x))
Step-by-step explanation:
The conjugate of a binomial is the same sum, but with the sign changed. That is (a +b) and (a -b) are a conjugate pair: each is the conjugate of the other.
The purpose of multiplying expressions involving roots or complex numbers by their conjugate is to take advantage of the relation ...
(a +b)(a -b) = a² -b²
Here. you want to eliminate the h from under the radical, so squaring the radical containing h is useful for the purpose. Hence the conjugate gets involved.
"Multiply by the conjugate" means multiply both the numerator and the denominator by the conjugate. (Effectively, multiply by 1.)
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<em>Additional comment</em>
In the end, you will want the limit as h → 0, which will be 3/(2√(3x)). You will notice that h=0 no longer makes the denominator zero, so the limit is found by simple evaluation.
When the "binomial" is a complex number of the form a+bi, its conjugate is a-bi, regardless of the sign of b. That is, the conjugate of a complex number is found by negating its imaginary part. The sign of the real part is left alone.