Answer:
<h2>Length is 17m and Breadth is also 17m</h2>
Step-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
A) Let x = cost of t-shirt:
x= 22.95-12.25
B) x = 22.95 -12.25 = 10.70
C) the t-shirt cost $10.70
Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:




m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.