Answer:
270
Step-by-step explanation:
For any arithmetic sequence
nth term is given by
nth term = a + (n-1)d
where a is first term,
d is common difference
d is given by nth term - (n-1)th term
sum of n terms given by
sum = n/2(2a + (n-1)d)
________________________________________________
Given arithmetic sequence
-2,0,2,4,6,8...
first term a = -2
lets take third term as nth term and second term as (n-1)th term to find common difference d.
d = 2 - 0 = 2
using a = -2 , d = 2, n = 18
thus, sum of first 18 terms = n/2(2a + (n-1)d)
=18/2( 2*(-2) + (18-1) 2)
=9 ( -4 + 34)
=9 ( 30) = 270
Thus, sum of first 18 terms is 270.
Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
Im pretty sure its linear
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
Answer:
A) 28 m^2
Step-by-step explanation:
(4x4) + (3x4) = 28 m^2
