Answer:
L=6 cm l=3
Step-by-step explanation:
x+y=45
L=2l
Big Square Area
L*L=x
Little Square
l*l=y
Substituting
(L*L)+(l*l)=45
(2l*2l)+(l*l)=45
(4l^2)+(l^2)=45
5l^2=45
l^2=45/5
l^2=9
l=sqrt(9)
l=3
L=2(3)
L=6
Answer:
3=2n
Step-by-step explanation:
Formula: Tn=T1+(n-1)*d
Tn is the nth term
T1 is the first number of the sequence
n is the nth term as well
D is the common difference
now its Tn=5+(n-1)*2
now solve that so its
Tn=5+2n-2
now its
Tn=3+2n
that's it
Answer:
D
Step-by-step explanation:
the equation of a vertical line is of the form x = c where c is a constant
3x - 2 = 0 is in this form if we add 2 to both sides and divide by 3
3x = 2 ⇒ x =
→ D
Given:
The given polynomial is

When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).

When it divided by (x+1) gives remainder 0. So, P(-1)=0.



...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0




...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).



Putting m=5.5 in (i), we get



Therefore, the values of m and n are 5.5 and -21.5 respectively.