Answer:
Explanation:
1.
x^2 - 10x + 24
= (x - 6)(x - 4)
2.
x^2 - 12x + 27
= (x - 9)(x - 3)
3.
x^2 - 13x + 36
= (x - 9)(x - 4)
4.
x^2 - 5x - 14
= (x - 7)(x + 2)
5.
x^2 + x - 20
= (x + 5)(x - 4)
6.
x^2 - 3x - 40
= (x - 8)(x + 5)
7.
x^2 + 2x - 48
= (x - 8)(x + 6)
8.
x^2 + 10x - 24
= (x - 2)(x + 12)
9.
x^2 - 7x - 44
= (x - 11)(x + 4)
10.
x^2 + x - 2
= (x + 2)(x - 1)
11.
x^2 + 2x + 1
= (x + 1)(x + 1)
12.
x^2 - x - 6
= (x - 3)(x + 2)
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
The histogram depicts that the number shipments that had more than 20 light bulbs broken is D. 12.
<h3>What is a histogram?</h3>
A histogram simply means a graphical representation that is used to organize a group of data points into ranges.
From the complete question, the histogram shows that the number shipments that had more than 20 light bulbs broken is 12. This can be interpreted based on the ranges shown in the histogram.
Learn more about histogram on:
brainly.com/question/1581651
It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.
Answer:
Decrease by 13%
Step-by-step explanation:
