Answer:
1. The slope of the line is
.
2. The value of a is 18.
Step-by-step explanation:
If a line passes through two points, then the slope of the line is

(1)
It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is



The slope of the line is
.
(2)
If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

The slopes of two parallel lines are same.


On cross multiplication we get




Divide both sides by -2.

Therefore the value of a is 18.
Answer:
As per the question, we need to convert product of sum into sum of product,
Given:
(A' +B+C')(A'+C'+D)(B'+D'),
At first, we will solve to parenthesis,
= (A'+C'+BD) (B'+D')
As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,
(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)
Now,
= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"
As we know that AA' = 0, it mean
=A'B'+A'D'+C'B'+C'D'+D*0+B0
=A'B'+A'D'+C'B'+C'D' as B * 0 and D*0 = 0
Finally, minimum sum of product boolean expression is
A''B'+A'D'+C'B'+C'D'
=
Answer:
9:100
Step-by-step explanation:
Turn 9% into a fraction by putting it over a hundred:
9/100
Then simply change the '/' into ':'
If this were another fraction, let's say, 4/6, then you'd put it in simplest form, which is 2/3 = 2:3
Answer:
$522.49
Step-by-step explanation: 549.99*.05=27.50 (discount)
549.99-27.50=$522.49