Answer:
Option A is correct.
Value of 
Step-by-step explanation:
Given: 
and common difference(d) = 3.4
A sequence of numbers is arithmetic i.e, it increases or decreases by a constant amount each term.
The sum of the nth term of a arithmetic sequence is given by;
, where n is the number of terms, a is the first term and d is the common difference.
We also know the nth tern sequence formula which is given by ;
......[2]
First find a.
it is given that
Put n =12 and d=3.4 in equation [2] we have;
2.4 = a + 37.4
Simplify:
a = - 35
Now, to calculate 
we use equation [1];
here, n =2 , a =-35 and d=3.4
Simplify:
Therefore, the sum of sequence of 22nd term i.e,
This problem is easy the correct choice for it will be B.
Answer:
A. y = x^2 -6x + 13
Step-by-step explanation:
The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is
The reason is that, we can write this function in the vertex form to get;
Hence the line of symmetry is x=3 and the vertex is (3,4)
C
it appears that there are 7 cubes, so divide the overall volume by the seven cubes, making the volume of each one would 8. Volume is length times with times height so you would find the cube root of eight which is two. This means that each side length is 2 so you would find the area of each side and add them all together. This adds up to equal 120.
Hope this helped!!
Answer:
Step-by-step explanation:
Given:
H(–1, –6), J(1, –3), K(–5, –1), and L(5, –5)
We know that polygons are HJKL relaxes using the scale factor 3. This means that, to find the coordinates of the vertices of the polygon H'J'K'L ', we need to multiply the coordinate system x and y coordinates of each vertex by a factor of 3 proportion as following:
- H' = (-1*3, -6*3) = (-3, -18)
- J' = (1*3 , -3*3) = (3, -9)
- K = (-5*3, -1*3) =(-15, -3)
- L = (5*3, -5*3) = (15, -15)
