Please help1 through 5
1 answer:
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Answer:
The inequality for is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒
where represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒
Using distribution:
⇒
Simplifying.
⇒
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 16.
⇒
⇒
Dividing both sides by 2.
⇒
⇒ (Answer)
Answer:
y = -x + 11
Step-by-step explanation:
The equation of a straight line is is given by:
y = mx + b; where m is the slope and b is the y intercept
The equation of the line joining G(9, 8) and H(3, 2) is given as:
The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).
Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:
x = (9 + 3)/2 = 6
y = (8 + 2)/2 = 5
The midpoint = (6, 5)
Two lines are perpendicular if the product of their slopes is -1.
The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.
This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:
The equation of the perpendicular bisector is y = -x + 11