Answer:
Option (2)
Step-by-step explanation:
Equation of a line passing through a point (x', y') and slope 'm' is given by,
y - y' = m(x - x')
From the question in the picture attached,
Slope of the line 'm' =
Line passes through a point (80, -71).
Equation of the line will be,
y + 71 =
y =
y =
Option (2) will be the answer.
Let x be the expected number
Number arriving = 3•5 x
Unexpected number 2•5 x
2•5 x = 105
10x = 420
x = 42______Option D
Answer:
63.5
Step-by-step explanation:
they all form a triangle, and the formula for that is a²+b²=c²
a=96 b=wire c=72
96²+b²=72²
9216+b²=5184
-9216 -9216
b²= -4032
square root of -4032 = 63.5
Answer:
The form of hypothetical syllogism is;
If P, then Q.
If Q, then R.
Therefore, if P, then R.
From the given statement we have:
M represents "If a, b, and c are real numbers such that a=b",
N represents "a+c=b+c"
O represents "c+a=c+b".
we have;
If M, then N
If N, then O
Therefore, by hypothetical syllogism.
therefore, if M, then O.
Therefore, the statement completes the syllogism is:
If a+c=b+c, then c+a=c+b.
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives and vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is . Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with