Answer:
The equation of the line:
Step-by-step explanation:
Given
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
Using the point-slope form of the line equation
substituting the values m = 3/2 and the point (-4, 3)
Add 3 to both sides
Thus, the equation of the line:
She did 12 questions, and needs to do 36.
36 / 12 = 3, so it will take 3 times as long.
1 hour 20 minutes times 3 = 4 hours.
It will take her 4 hours.
Answer:
Step-by-step explanation:
SSS postulate of congruency
3(5a+2b)
Both have 3 in common
Answer:
(12,-6)
Step-by-step explanation:
we have
----> inequality A
---> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
<u><em>Verify each point</em></u>
Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B
case 1) (0,-1)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 2) (0,3)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 3) (-6,-6)
Inequality A
----> is true
Inequality B
----> is not true
therefore
The ordered pair is not a solution of the system
case 4) (12,-6)
Inequality A
----> is true
Inequality B
----> is true
therefore
The ordered pair is a solution of the system (makes true both inequalities)