Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.
Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.
We have to convert the the mixed fraction form 
to simpler 
fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form 
have the following understanding:
c is the divider
b is the remainder and
a is the quotient.
To convert mixed fraction to fraction we can use the following:
Hence
i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Answer:
90 degrees
Step-by-step explanation:
Angle DMC is vertical angles with angle AMB. Vertical angles always have the same degree measure.
Since angle AMB = 90 degrees, we know that because DMC = AMB, then angle DMC is also 90 degrees.
Hope this helps!
Answer: 3.37 i think
Step-by-step explanation:
The table on the left is <u>arithmetic</u>
This is because each term is increasing by the same amount (2) each time.
- 3+2 = 5
- 5+2 = 7
- 7+2 = 9
- 9+2 = 11
--------------------------------------------
The table on the right is <u>geometric</u>
Why? Because this time we are multiplying each term by the same value (2) to get the next term.
- 3*2 = 6
- 6*2 = 12
- 12*2 = 24
- 24*2 = 48
Both involve the number 2, but the first table uses addition while the second table uses multiplication.
