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Equation Given :
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16x² = 121
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Take away 121 from both sides:
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16x² - 121 = 0
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Make each term a perfect square
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(4x)² - (11)² = 0
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Apply algebraic rule : a² - b² = (a + b)(a - b)
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(4x + 11) (4x - 11) = 0
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Apply zero product property :
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4x + 11 = 0 or 4x - 11 = 0
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Solve for x :
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4x = - 11 or 4x = 11
x = -11/4 or x =11/4
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Answer: x = -11/4 or x = 11/4
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Step-by-step explanation:
That depends on the tension on the tape.
As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.
There were 60 girls because you do cross multiplication (5 x 48 is 240 4 x 60 is 240)
the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
<h3>What is unit conversion?</h3>
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
As we know,
1 us cup = 8 ounces
Let x be the number of cups:
x = 40 ounces
1/x = 8/40
x = 40/8
x = 5 us cup
Thus, the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.
Learn more about the unit conversion here:
brainly.com/question/14350438
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Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13