The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
= 
(-)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
The absolute value of -8 is 8
here’s a trick the absolute value of a positive is the same number of its negative it’s the same number but positive
hope it helps
Answer:
43m
Step-by-step explanation:
3(14m+m)
42m+3m
45m
Answer:
x = -26 and y = -2
I hope this is the answer you are looking for
Step-by-step explanation:
x-8y = -10 => add 8y to both sides
+8y = +8y
x = -10+8y
-2(-10+8y) -6y = -24 => intersect what you got into the first equation
20-16y-6y = -24 => Distribute the -2
20-22y = -24 => subtract 20 in both sides
-20 = -20
-22y = -44 => divided by -22 in both sides
/-22 = /-22
y = -2
x-8(-2) =-10 => intersect the y into the other equation
x+16 = -10 => multiply -8*-2
-16 = -16
x = -26 => subtract 16 in both sides.
85 yen are equivalent to 1 euro ⇒ answer O
Step-by-step explanation:
The given is:
- 1 dollar = 1.2 euros
- 1 dollar = 102 yen
We need to find how many yens are equivalent to 1 euro
∵ 1 dollar = 1.2 euros
∵ 1 dollar = 102 yen
- Equate the two right sides of 1 dollar
∴ 1.2 euros = 102 yen
- To find 1 euro equals how many yen divide both sides by 1.2
∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen
∴ 1 euro = 85 yen
85 yen are equivalent to 1 euro
Learn more:
You can learn more about the word problems in brainly.com/question/2119883
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