Answer:
I believe the answer is D.
Step-by-step explanation:
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
There are two functions graphed,
y = f(x) and y = h(x)
h(1) = 0 [Output value of function 'h' at the input value x = 1]
Since, g[h(1)] = g(0)
Therefore, value of function 'h' (output value) at (input value) x = 0,
g(0) = -5
Option B will be the correct option.
D. I believe bc part of the equation is (y-y one) and y one is -3 and two negatives make a positive. And 11 squared it 121
The points C and D are 13.8173 meters apart.
Step-by-step explanation:
Step 1:
Assume the distance between points C and D is x. So the distance from B to D is (x + 24) m.
In the triangle, the given angle is 48°, the opposite side, AB's length is 42 meters. The adjacent side's length is (24 + x) meters. To determine the x's length, we determine the tan of the angle. To calculate the tan of an angle, we divide the opposite side's length by the adjacent side's length.
Step 2:
The length of the opposite side = 42 meters.
The length of the adjacent side = (24 + x) meters.
So the distance between C and D is 13.8173 meters.
Answer:
13 y^2 - 9 x y + 3 x^2
Step-by-step explanation:
Simplify the following:
6 x^2 - 7 x y + 8 y^2 - (x^2 - 3 x y - y^2) - (2 x^2 + 5 x y - 4 y^2)
-(x^2 - 3 x y - y^2) = -x^2 + 3 x y + y^2:
6 x^2 - 7 x y + 8 y^2 + -x^2 + 3 x y + y^2 - (2 x^2 + 5 x y - 4 y^2)
-(2 x^2 + 5 x y - 4 y^2) = -2 x^2 - 5 x y + 4 y^2:
6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 + -2 x^2 - 5 x y + 4 y^2
Grouping like terms, 6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 - 2 x^2 - 5 x y + 4 y^2 = (8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2):
(8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
8 y^2 + y^2 + 4 y^2 = 13 y^2:
13 y^2 + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
x y (-7) + x y 3 + x y (-5) = -9 x y:
13 y^2 + -9 x y + (6 x^2 - x^2 - 2 x^2)
6 x^2 - x^2 - 2 x^2 = 3 x^2:
Answer: 13 y^2 - 9 x y + 3 x^2
