Answer:
Step-by-step explanation:
To put the equation into vertex form, we need to complete the square
This is in the form
So, the vertex is (2, -5)
and
Answer:
x ≥ 1
Step-by-step explanation:
Since it's a closed circle x could also be equal to 1. Also, since the arrow is pointing away from 1 the answer of x is greater than 1, therefore the answer is x ≥ 1.
Answer:
Option 2 is correct.
Step-by-step explanation:
Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.
Mid-point formula states that if and are the coordinates of end points of line segment then the coordinates of mid-point are
∴ Coordinates of mid-point of line segment joining the points (3, 10) and (7, 8) are
Hence, option 2 is correct.
Answer:
B) 42:28
Step-by-step explanation:
First, let's get 12:18 simplified to make it easier to compare:
12:18 -> 4:6 - > <u>2:3</u>
Now let's check it against all the options:
A) 20:30 -> 2:3 and 2:3 = 2:3
Not our answer as it is congruent (equal too, the same as, etc)
B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!
42:28
(it simplifes to 6:4 -> 3:2)
(we do not have to do the following as we already have an answer, but here is the math)
C) 4:6
4:6 ->
2:3 = 2:3
D) 2:3
2:3 = 2:3
The sum of n terms of a geometric series is given by
Substituting the given numbers, you have
There are 6 terms in the series.