Answer18:
The quadrilateral ABCD is not a parallelogram
Answer19:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
For question 18:
Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope is 90 degree
The slope of a line BC:
m=
m=
m=
The slope is zero degree
The slope of a line CD:
m=
m=
m=
The slope is 90 degree
The slope of a line DA:
m=
m=
m=
m=
The slope of the only line AB and CD are the same.
Thus, The quadrilateral ABCD is not a parallelogram
For question 19:
Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope of a line BC:
m=
m=
m=
m=3
The slope of a line CD:
m=
m=
m=
The slope of a line DA:
m=
m=
m=3
The slope of the line AB and CD are the same
The slope of the line BC and DA are the same
Thus, The quadrilateral ABCD is a parallelogram
Answer:
-12 3/5
Step-by-step explanation:
-4 3/10 - 8 3/10
The signs are the same so we add and then take the sign
4 3/10 + 8 3/10
Add the whole numbers
4+8 = 12
Add the fractions
3/10 + 3/10 = 6/10
Simplify the fraction
6/10 = 3/5
Put them together
12 3/5
Add the sign
-12 3/5
Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time =
hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in
hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is
feet.
Therefore, the correct option is D.
Factor 2x^4 - 7x^3 -27x^2 + 63x + 81
Write as a Set of Linear Factors
Over the complex numbers
(X+3) (x-3) (x+1) (2x-9)
So the kindergartner could show animals pictures. XD JK