C. A function can only have one y value for an x value
L+S=8, L=8-S
500L+200S=2200, using L from above in this equation gives you:
500(8-S)+200S=2200
4000-500S+200S=2200
4000-300S=2200
-300S=-1800
S=6, and since L=8-S:
L=2
So Rita bought 2 large packets and 6 small packets.
Answer: 2√2 - 3Explanation:The expession written properly is:
To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.
That is, you have to multiply both numerator and denominator times the conjugate of the denominator.
The conjugate of √3+√6 is √3 - √6, so let's do it:
To help you with the solution of that expression, I will show each part.
1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =
= 3 - 2√18 + 6 = 9 - 6√2.
2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3
3) Then the resulting expression is:
9 - 6√2
-----------
-3
Which can be further simplified, dividing by - 3
-3 + 2√2
Answer: 2√2 - 3
Answer:
The answer is 40°
Step-by-step explanation:
Solution
Now,
The Measure of major arc FD = 280°
Thus,
One complete angle measure 360°
Then
m∠FED = 360 - 180
m∠FED = 80°
Thus,
FE = DE ( the same circle Radius)
∠EFD = ∠EDF ( opposite angles to equal sides are equal)
Now
Applying angle sum property of a triangle in ΔEFD
∠EFD + ∠EDF + ∠FED = 180°
∠EFD + ∠EFD + 80 = 180
2∠EFD = 100
∠EFD = 50°
Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.
∠EFG = 90°
∠GFD + ∠EFD = 90°
∠GFD + 50 = 90
∠GFD = 40°
Therefore, The measure of the angle GFD is 40°