Solve the system of equations algebraically. Verify your
2 answers:
Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
Solve for x
Adds 5 both sides
Divide by 4 both sides
therefore
The solution is the point (0.5,-3)
<em>Verify your answer using the graph</em>
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
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Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
