Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that
. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval
then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is
. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
1.105°
angle relationship=vertical angles
2.112°
angle relationship=interior angles
Step-by-step explanation:
1.180-75=105
2.180-68=112
#Carry on Learning
Answer:
incorrect
Step-by-step explanation:
To determine if the triangle is right
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right, that is
longest side = 10 and 10² = 100
6² + 8² = 36 + 64 = 100
Thus the triangle is right.
She should have added 6² and 8² and compared that to 10²
8.2is the answer
Step-by-step explanation:
|CB|+8
X= 5 and it also equals -5