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Ratling [72]
3 years ago
13

The area of the right triangle shown is 24 square feet.Which equations can be used to find the lengths of the legs of the triang

le? Check all that apply.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 24
x2 + (x + 2)2 = 100
Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

correct answer ; 1,4,6

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The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

n = 0

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n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

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7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

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7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

To learn more on patterns: brainly.com/question/23136125

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1 year ago
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Since the parabola opens sideways, that means the function will feature y^2 and not x^2, so you can immediately rule out options B and C. Because the graph also opens right, that means the coefficient of y^2 is positive. Using all of this information, you'll find that the correct answer is D: x = \frac{1}{12} y^2.

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Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

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