Answer:
Step-by-step explanation:
The lowest point in New Orleans is 8 feet below sea level.
This can be represented numerically using 
(negative sign denotes below sea level)
The highest point in Chicago is 735 feet above sea level.
This can be represented numerically using 
(positive sign denotes above sea level)
Answer:
Step-by-step explanation:
In a G.P, the nth term is given as
Un=ar^(n-1)
Where
a is first term
n is nth term
And r is common ratio
So in the question given above,
The third term exceed the first term by 16
i.e U3=U1+16
Where U1=a. First term
U3=a+16
Given also that, the sum if the third term and fourth term is 72.
Then U3+U4=72.
We are told to find common ratio (r)
U3=ar^3-1
U3=ar^2
Also, U4=ar^3
U3+U4=72
ar^2+ar^3=72
ar^2(1+r)=72. equation 1
Also for
U3=a+16
ar^2=a+16
ar^2-a=16
a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)
Then,
a(r-1)(r+1)=16. Equation 2
Divide equation 2 by equation 1
a(r-1)(r+1)/ar^2(1+r) =16/72
Then a cancel a and (1+r) cancel (1+r)
So,
(r-1)/r^2=2/9
Cross multiply
9(r-1)=2r^2
2r^2-9r+9=0
Solving the quadratic equation
2r^2-6r-3r+9=0
2r(r-3)-3(r-3)=0
(r-3)(2r-3)=0
r-3=0. Or. 2r-3= 0
Then r=3 or r=3/2
Translation is made “4 to the right and 4 down”
Answer:
The first one is m A + 30 + 90 = 180
Second is 60
Step-by-step explanation:
A triangle’s added up angles ALWAYS equals 180.
The formula here is to subtract the two known angles from 180 and the answer leaves you with the unknown angle.
180 - 90 - 30 = A
So,
180 - 90 - 30 = 60
You can check by adding all the angles and it adding up to 180
90 + 30 + 60 = 180
