Answer:
-3(4x+3)+5x (Given) 1/2 (6k+10)+5k (given)
-12x-9+5x (distribution) 3k+5+5k (distribution)
-12x+5x-9 (associative) 3k+5k+5 (associative)
-7x-9 (Combine like terms) 8k+5 (combine like terms)
Step-by-step explanation:
Answer:
x = 52.0
Step-by-step explanation:
Reference angle = 68°
Length of side Opposite to reference angle = x
Adjacent length = 21
Apply the trigonometric function, TOA, which is given as:
Tan 68° = Opp/Adj
Substitute
Tan 68° = x/21
21 × Tan 68° = x
51.9768238 = x
x = 51.9768238 ≈ 52.0 (approximated to nearest tenth)
Answer: (14, 5)
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Explanation:
Translating 5 units to the right means x becomes x+5. Whatever the x coordinate is, we add on 5.
Translating 4 units down means we go from y to y-4.
Overall, the point (x,y) becomes (x+5, y-4).
We can write the compact notation 
So for the specific point given, we can say:
The point (9,9) shifts to (14, 5)
C≈ 87.96
I think thats the answer
P(H) = 1/2
P(>6) = 9/15 = 3/5
P(Both H AND >6) = 1/2 * 3/5 = 3/10
