Answer:
Coordinates:
(-3, 5)
(2, 5)
(-3, 10)
(2, 10)
Step-by-step explanation:
Perimeter formula:
length + width + length + width
Insert known value(s):
l + w + l + w = 20
Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.
5 + 5 + 5 + 5 = 20
This means coordinates will be 5 units apart:
(-3 + 5, 5) = (2, 5)
(-3, 5 + 5) = (-3, 10)
Mark these coordinates on your grid as you go to double check the shape turns becomes a square:
(2, 5 + 5) = (2, 10)
Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.
Answer:
1+√2, 1-√2
Step-by-step explanation:
Since there are 2 factors with an y in the expression, i will assume that there was a mistake in the question and in fact the first term was y³. With that change, we will have that
g(y) = y³-3y²-3y+9
In order to find the critical numbers of g we need to derivate it and equalize the derivate to 0. We can easily derivate g since it is a polynomial:
g'(y) = 3y² - 6y-3
Since g'(y) is a quadratic function, we can obtain the zeros using the quadratic formula, where a = 3, b = -6 and c = -3:
Thus
Therefore, the critical numbers of g are 1+√2 and 1-√2.
I beleive that the problem just ask for that. If you want the critical values, then we need to evaluate those numbers in g. i will do it just in case
g(1 + √2) = (1+√2)³ - 3(1+√2) - 3(1+√2) + 9 = -1.65685
g(1- √2) = (1-√2)³ - 3(1-√2)² -3(1-√2)+9 = 9.6566
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Define x:
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Let the tie be x
Tie = x
Shirt = x - 4.02
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Construct equation :
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The sum of the shirt and tie is $75.62
x + x -4.02 = 75.62
2x - 4.02 = 75.62
2x = 79.64
x = $39.82
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Find the cost of tie and shirt :
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Tie = x = $39.82
Shirt = x - $4.02 = $39.82 - $4.02 = $35.80
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Answer: The price of the short is $35.80
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I = PRT.....rearrange.....P = I / RT
P = 51 / (0.0425* 2).....I used 2 because 24 months = 2 yrs
P = 51 / 0.085
P = 600 <===
9514 1404 393
Answer:
$86
Step-by-step explanation:
Since the interest varies directly, doubling the rate will double the interest.
The interest is $86 when the rate is 8%.
