x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
Answer:
The center of the circle is
.
Step-by-step explanation:
The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:
(1)
Where:
- Center.
,
- Location of the endpoints.
If we know that
and
, then the location of the center of the circle is:



The center of the circle is
.
Answer:
x = ±
i
Step-by-step explanation:
subtract 64 from both sides
9x² = - 64 ( divide both sides by 9 )
x² = -
( take the square root of both sides )
x = ±
= ±
i
Answer:

Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,

So the correct option is (c).
9=6y + 33 the answer is y=−4
the next one is x=10
Step-by-step explanation: