Answer:
1+3i
Step-by-step explanation:
i is a variable. -1 has an absolute value of 1. 3i is multiplying i by 3.
Answer:
Divide StartFraction a Over 11 EndFraction by 11; the solution is 540.
Step-by-step explanation:
Using proportions, the value of x that makes the triangle similar is of x = 14.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:

Applying cross multiplication:
6x = 12 x 7
x = 2 x 7
x = 14.
The value of x that makes the triangle similar is of x = 14.
More can be learned about proportions at brainly.com/question/24372153
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Answer: y = -6x + 8
Step-by-step explanation:
11 - y = 3 + 6x
<u>-11 -11</u>
<u>-y = -8 + 6x</u>
-1
y = -6x + 8
The nearest whole number the diameter of the circle is 5.0 cm.
<u>Given the following data:</u>
- Circumference of a circle = 15.4 cm
To estimate to the nearest whole number the diameter of the circle:
In this exercise, you're required to solve for the diameter of a circle and round up its value to the nearest whole number.
<h3>How to calculate the circumference of a circle.</h3>
Mathematically, the circumference of a circle is given by the formula:

<u>Where:</u>
- D is the diameter of a circle.
Making D the subject of formula, we have:

Substituting the given parameters into the formula, we have;

D = 4.90 cm
To the nearest whole number:
D = 4.90 ≈ 5.0 cm
Read more on circumference of a circle here: brainly.com/question/14478195