Answer:
D x≥4
Step-by-step explanation:
−7 ≥ 13−5x
5x ≥ 20
x ≥ 4
That is the answer for the first one
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
