Answer:
the length is 98 meters and the width 98 meterss
Step-by-step explanation:
We have that the length is l and the width is w, we know that:
P = 2 * w + 2 * l
if we solve for it, we have:
l = P / 2 - w
Now, we know that the area is:
A = l * w
if we replace l, we are left with:
A = (P / 2 - w) * w
A = P * w / 2 - w ^ 2
we derive to know the maximum area and we equal 0 and we have:
A '= P / 2 - 2 * w
0 = P / 2 - 2 * w
w = P / 4
now for him:
l = P / 2 - P / 4
l = P / 4
Therefore, if we replace:
l = 392/4 = 98
w = 392/4 = 98
For the maximum area the length is 98 meters and the width 98 meterss
Answer:
$921.17 will be available in the bank account after 15 years.
Answer:
on the second one
Step-by-step explanation:
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Answer:
Circular!
Step-by-step explanation:
Triangle ABC is reflected across the y-axis to form the image A'B'C'. Triangle A'B'C' is then reflected across the x-axis to form the image A''B''C''. What type of rotation can be used to describe the relationship between triangle A"B"C" and triangle ABC
