Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
<span>75°
Since â–łABC is similar to â–łXYZ, that means that angle A equals angle X, angle B equals angle Y, and angle C equals angle Z. So let's look at the data we have.
Angle A measures 45° and angle C measures 60°. That means that angle B measures 180° - 45° - 60° = 75° since all triangles have 180° and we've been told the measurement of two of the angles. And since angle Y is equal to angle B (which we just calculated), that means that angle Y is also equal to 75°</span>
Answer:
are there any answer choices?
Step-by-step explanation:
Answer: length = 8 units
Width = 6 units
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The length of a rectangle is 2 units more than the width. This means that
L = W + 2
The area of the rectangle is 48 units. This means that
LW = 48- - - - - - - - - - - - -1
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 48
W² + 2W = 48
W² + 2W - 48 = 0
W² + 8W - 6W - 48 = 0
W(W + 8) - 6(W + 8) = 0
W - 6 = 0 or W + 8 = 0
W = 6 or W = 8
Since the width of the rectangle cannot be negative, then W = 6
L = W + 2 = 6 + 2
L = 8
Answer:
.5 more kilometres.
Step-by-step explanation:
3600 m = 3.6 km. 4.1 is .5 greater than 3.6
