What value of x is in the solution set of 3(x – 4) ≥ 5x 2? A) -10 B) -5 C) 5 D) 10
2 answers:
First, use the distributive property to expand the first equation.
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that
(We had to flip the sign because we divided by a negative number).
You'll notice that this matches none of the choices, however, we are looking for the solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is -10.
<em />:)
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that
You'll notice that this matches none of the choices, however, we are looking for the solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is -10.
<em />:)
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Answer:
19°
Step-by-step explanation:
You can form a right triangle using the given information. The height would be the opposite side of the triangle and the the distance between the tourist and the deer would be the adjacent side. To find the angle we can use the tangent
Tan x = opposite side / adjacent side
Tan x = 45/130
x = Tan^-1 (45/130)
x = 19°
