Answer:
none of them
Step-by-step explanation:
Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.
line 1:
y – 1 = (x+2)
y = x + 3
slope of line 1 = 1
line 2:
y + 2 = –3(x – 4)
y + 2 =
-3*x + 12
y = -3*x + 10
slope of line 2 = -3
m1*m2 = 1*(-3
) = -3
They are not perpendicular
line 3:
y − 5 = 3(x + 11)
y − 5 = 3*x + 33
y = 3*x + 38
slope of line 3 = 3
m1*m3 = 1*3 = 3
They are not perpendicular
line 4:
y = -3x –
slope of line 4 = -3
m1*m4 = 1*(-3
) = -3
They are not perpendicular
line 5:
y = x – 2
slope of line 5 = 1
m1*m5 = 1*1 = 1
They are not perpendicular
line 6:
3x + y = 7
y = -3x + 7
slope of line 6 = -3
m1*m6 = 1*(-3
) = -3
They are not perpendicular
Answer:
Solving the inequality we get: 
Step-by-step explanation:
We need to solve and graph the inequality 
Solving:

Step 1: Multiply 3 with terms inside the bracket

Step 2:Subtracting 51 on both sides

Step 3: Subtract 14x on both sides

Step 4: Divide both sides by 7

Solving the inequality we get: 
The graph is attached in the figure below.
Answer:
1st one and the third one
Step-by-step explanation:
25(0)=25
25+0=25
There are 138 female patients in the hospital.
<h3>Solving word problems involving ratios.</h3>
The solution to the word problem involving ratios in the given problem can be determined as follows.
From the given information:
The total number of people in the hospital = male + female
= 184 + x(unknown)
- If the ratio of male to female is 4: 3.
- The total ratio is 4+3 = 7
The ratio of males in the hospital is:


x = 322
The number of female patients in the hospital can now be computed as:

= 138 female patients
Check:
The total number of people in the hospital is:
= 184 + 138
= 322 patients
Learn more about word problems here:
brainly.com/question/13818690
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