Answer:
US= 24
Step-by-step explanation:
B is the mid point of the diagonal which means that to get US you would add VS which is 12 and you get 24
Step-by-step explanation:
2x + 7 = 27 OR 3 + 3x = 30.
2x = 27 - 7 OR 3x = 30 - 3
2x = 20 OR 3x = 27
x = 20/2 OR x = 27/3
x = 10 OR x = 9
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is
.
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
(1)
Where:
- First element of the sequence.
- Arithmetic difference.
- Index.
If we know that
and
, then the algebraic expression for the general term of the sequence is:

c) If we know that
and
, then the 25th term in the sequence is:


The 25th term in the sequence is 126.
<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
Since the directrix is horizontal, use the equation of a parabola that opens left or right.
(y−k)^2 = 4p(x−h)
Find the vertex.
(0,0)
Find the distance from the focus to the vertex.
p = 7
Substitute in the known values for the variables into the equation
(y−k)^2 = 4p(x−h).
(y−0)^2 = 4(7)(x−0)
Simplify.
<em>y^2 = 28x</em>