Answer:
Let Hassan score be X
Then Dionnie score will be X + 4
: the sum of Hassan and Dionnie is 180
X + ( X + 4 ) = 180
X + X + 4 = 180
COLLECTING LIKE TERMS
2X = 180 – 4
2X = 176
DIVIDING EACH TERM BY 2
2X/2 = 176/2
X = 88
: Hassan scored 88 and Dionnie score 92
Step-by-step explanation:
If dimensions are multiplied by 3 then area is multiplied by 3^2
F means false so it is not true it is false
Answer:
It's when rates are expressed as quantities.
Step-by-step explanation:
An example would be miles per hour (mph). People use these to determine the distance they will go in an amount of time and to judge safe speed.
Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²
