The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
<h3>How to find the area of the shaded region?</h3>
The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
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Answer:
the empty set {∅}
Step-by-step explanation:
{x | x < -3} ∩ {x | x > 5} is giving us
(-∞, -3) intersecting (5, ∞).
Since those two intervals do not intersect the solution is the empty set
The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
and so on.
For this sequence, we have
1 + 6 = 7
6 + 7 = 13
7 + 13 = 20
13 + 20 = 33
20 + 33 = 53
33 + 53 = 86
Answer: Im late but do you still need the answer?
Step-by-step explanation:
Using absolute value, it is found that:
- The situation is described by the following equation:
- The markings should be between 45.5mm and 48.5mm.
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The definition of the <em>absolute value function</em> is as follows:
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The length should be set to 47mm with an allowance of 1.5mm, which means that <u>the absolute value of the difference between the length and 47 should be 1.5</u>, thus:
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The solutions are:
The markings should be between 45.5mm and 48.5mm.
A similar problem is given at brainly.com/question/24514895
