Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
Answer:
The angle that the ramp makes with the ground is 11.54°
Step-by-step explanation:
From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.
We can use the fact that the sin(θ) =
to find the angle that the ramp makes with the ground.

The angle is equal to

Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
Answer:
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given series 1 -0.5 -2 +.........
we know that the sum of the sequence is called a series
The sequence is 1, -0.5, -2, -3.5,.....is in AP
a = 1 and the difference between the two terms is equal 'd' = -1.5
<u><em>Step(ii):-</em></u>
<u><em>adding 1.5 value of each term</em></u>
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
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