Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation:
The actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
<h3>What is a scale drawing?</h3>
Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.
For instance, the scale of the drawing of the original aquarium is ¹/16. This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.
<h3>Data and Calculations:</h3>
Scale drawing = ¹/16 of the original aquarium
Length of the colored face = 2¹/₄ inches
The actual length of the colored face = 36 inches (2¹/₄ inches x 16)
Thus, the actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
Learn more about measurements at brainly.com/question/24842282
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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