Answer: a=19
Step-by-step explanation: In order to solve this question, we must first take out the parenthesis, we can do this by taking 1/3 and multiply it by a and 5. This will give us 8=1/3a+5/3, with this we can subtract 5/3 on both sides of the equation, which will then give us, 19/3=1/3a. Last, we can divide 19/3 by 1/3 giving us 19 as our final anwser. a=19
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(f+g)(x) = 3^x + 10x + <span>4x - 2
</span>(f+g)(x) = 3^x + 14x - 2
Answer: C. 
Step-by-step explanation:
1. You have the following equation of the parabola in Vertex form:

Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.
2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:

3. Therefore, the answer is the option C.
Answer:
B = 45°
BC = 14 km
AB = 14√2 km ≈ 19.80 km
Step-by-step explanation:
If one acute angle (A) of a right triangle is 45°, then the other one is also:
... 180° -90° -45° = 45°
The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.
... AB² = AC² +BC²
... AB = √(AC² +BC²) = (14 km)√(1² +1²) = 14√2 km