Answer:
x=11
Step-by-step explanation:
5x+13=9x-31
subtract 9 from both sides.
-4x+13=-31
you want to isolate the x value so subtract 13 from both sides.
-4x=-44
now divide both sides by -4.
x=11
Answer:
Step-by-step explanation:
d=m+a/n
Firstly, we multiply n to get rid of it by both sides. Since n is dividing a.
d=m+a/n
*n *n
dn=m+a
-m -m
a=dn-m
No, the graphs of the lines are not parallel because if you simplify 27x-3y=-81, you get y=9x+27, and in order to have the lines parallel, both equations must have the same "m" in y=mx+b. 6 and 9 do not equal, so no they are not parallel.
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that <em><u>Nancy</u></em> is <em><u>pushing</u></em> the statue with a force of<em><u> 120 N at a 60° angle to the horizontal</u></em> and <em><u>Harry</u></em> is <em><u>pulling</u></em> the statue with a force of <u><em>180 N at a 40° angle with the horizontal</em></u>.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
