James has $120 in his savings account and
1 answer:
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Answer:
Option 2 - 3.2 inches.
Step-by-step explanation:
Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.
To find : What is the difference between the two possible lengths of the third side of the triangle?
Solution :
According to question, it is a right angle triangle
Applying Pythagoras theorem,
Where, H is the hypotenuse the longer side of the triangle
P is the perpendicular
B is the base
Assume that H=8 inches and B = 5 inches
Substitute the value in the formula,
Assume that P=8 inches and B = 5 inches
Substitute the value in the formula,
Therefore, The possible length of the third side of the triangle is
Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.
So, Option 2 is correct.
Polynomials in the fourth degree are called quartic equations. In solving the roots of polynomials, there are techniques available. For quadratic equations, you use the quadratic formula. For cubic equations, you use the scientific calculator. But for quartic equations and higher, it is very complex. The method is very lengthy and can get very messy because you introduce a lot variables. So, I suggest you do the easiest method to estimate the roots.
Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are -3.73, -1, -0.28 and 2.
Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are -3.73, -1, -0.28 and 2.