Answer:
B
Step-by-step explanation:
If you’re looking for the intersection it’s B.
In the app, on the right next to “what’s your question” where you type in your question
The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.
<h3>What is complex number?</h3>
A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,
a+b<em>i</em>
Here, (a) is the real part while (b) is the imaginary part.
To add the two complex number on the graph, the addition as transition method is used.
In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.
On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.
Learn more about the complex number here;
brainly.com/question/2218826
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Answer:
131 in²
Step-by-step explanation:
Let x represent the length of the painting. Given that The width of a painting is 4 inches less than the length. Hence:
Width = x - 4
The area of painting = length * width = x(x - 4) = x² - 4x
The frame that surrounds the painting is 2 inches wide (at the top and bottom, left and right). Hence the total width of the frame = (x - 4) + 2 + 2 = x, the length of the frame = x + 2 + 2 = x + 4
The area of the frame = length * breath = x(x + 4) = x² + 4x
Given that the area of the frame = 240 in², hence:
x² + 4x = 240
x² + 4x - 240 = 0
x = -17.62 and x = 13.62
Since the length cannot be negative, hence length = x = 13.62 inches
Area of painting = x(x - 4) = 13.62(13.62 - 4) = 131 in²