Answer:
156.25cm^2
Step-by-step explanation:
Perimeter of rectangle: 2(length + width)
P=2(x+y)......equation (1)
A= xy ...........equation (2)
From equation (1)
50=2(x+y)
Divide both by two
25=x+y
x=y-25
Then the area:
From equation (2)
A=(y-25)y
The zeros will be y-25=0 and y=0 therefore y=25 and y=0
Then their average is: (25+0)/2 = 12.5
The width is 12.5 and the length is 25-12.5 which is 12.5
X=Length=12.5
Y=width=12.5
The largest area is:
12.5×12.5
156.25cm^2
Answer:
Solution is (35,52)
Step-by-step explanation:
Step 1: Rewrite x+y=87
y= -x+87
Step 2: Substitute y=-x+87 into original equation and solve for x.
x=35
Step 3: Substitute value of x (35) and solve for y.
y=52
Answer:
they each hike 2 miles
Step-by-step explanation:
Jeff: 15=1/2
*4 *4
60 min=2 miles
Lisa: 10=1/3
*6 *6
60 = 2
Answer:
-3 - 1 = 4/9(-5 - 4)
Step-by-step Explanation:
Point-Slope form uses the formula y-y1=m(x-x1).
m is the slope, which they gave you, so you can substitute it into the formula:
y - y1 = 4/9(x - x1).
They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.
-3 - y1 = 4/9(-5 - x1)
y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).
Substitute the x and y values of that point into the equation as well and you have your answer:
-3 - 1 = 4/9(-5 - 4)
Answer:
Step-by-step explanation:
1 - f(x) = f (x + 2) = 2^x+2
{ when x = 0, y = 2² = 4 }
so the function { y - intercept at (0, 4) }
2 - m(x) = -f(x) = - 2^x
2^x increases as x increases
So -2^x {decreases as x increases}
3 - g(x) = 2f(x) = 2, 2^x = 2^x+1
{ when x = 0, y = 2^1 = 2 }
So the function { y-intercept at (0, 2)
4 - h(x) = f(x)+ 2 = 2^x + 2
f(x)'s asymptote of y = 0
so {f(x) + 2}'s asymptote of y =2
