Yes, -0.5 is an integer because it is a negative number. Any number that is positive or negative is an integer.
Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is
is predicate that
then
. where
are rational numbers.
a)
when 
Here
that is
satisfied. Then

this is wrong. since 
That is 
Thus
is false.
b)
Assume
.
That is 
Here
that is
this condition is satisfied.
Then

this is not true. since
.
This is similar to the truth value of part (a).
Since in both
satisfied and
for both the points.
c)
if
that is
and
Here
this satisfies the condition
.
Then 
This also satisfies the condition
.
Hence
exists and it is true.
d)
Assume 
Here
satisfies the condition 
Then 
satisfies the condition
.
Thus,
point exists and it is true. This satisfies the same values as in part (c)
Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>Equation Solving</u>
The area of a trapezoid with height h and bases b1 and b2 is given by:

We must solve this formula for h.
First, multiply by 2 to eliminate denominators:

Now, divide by b1+b2:

Swapping sides:

Correct choice: B
Answer:
3x+2y
Step-by-step explanation:
Find the rectangles attached
Area of a rectangle = Length * Width
A = A1+A2
given
A = 30cm²
A1 = 3 * x
A1 = 3x
A2 = 2*y
A2 = 2y
Substitute
30 = 3x+2y
Hence the required equation is 3x+2y = 30