Answer:
.45<.66
Step-by-step explanation:
If its greater than or less than
Answer:
Step-by-step explanation:
To find the 41st term to 47th term, we must find the equation of how to get those terms.
The equation for arithmetic terms is , where d is the difference between two side-by-side terms.
By using this equation format, we get the equation
That means the terms are
Now to find the sum, we just add all the terms up simply
Sum = 82 + 84 +86 + 88 + 90 + 92 +94 = 616
Hope that helps!
Answer:
10 cm
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = × d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here A = 60, d₁ = 12, thus
60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )
d₂ = 10
The other diagonal is 10 cm
Answer:
a) d(x)=
b)d'(x)=
c)The critical point is x=
d)Closest point is (,
Step-by-step explanation:
We are given the line
Let a point Q() lie on the line.
Point P is given as P(2,0)
By distance formula, we have the distance D between any two points
A() and B() as
D=
Thus,
d(x)=
But we have,
So,
d(x)=
Expanding,
d(x)= - - - (a)
Now,
d'(x)=
i.e.
d'(x)= - - - (b)
Now, the critical point is where d'(x)=0
⇒ =0
⇒ - - - (c)
Now,
The closest point on the given line to point P is the one for which d(x) is minimum i.e. d'(x)=0
⇒
as
⇒y=
So, closest point is () - - -(d)