Answer:
D
Step-by-step explanation:
Add real numbers and add imaginary numbers
(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i
= - 5 - 3i
9514 1404 393
Answer:
8x -3y = 33
Step-by-step explanation:
Multiply by 3 to eliminate the fraction. Then rearrange to standard form.
y +7 = 2/3(4x -6) . . . . . . . given
3(y +7) = 2(4x -6) . . . . . . . multiply by 3
3y +21 = 8x -12 . . . . . . . . eliminate parentheses
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
Answer:
The answer to your question is (x - 7)² + y² = 81
Step-by-step explanation:
Data
Center = (7, 0)
radius = 9
Process
To find the standard equation of a circle, just substitute the values of the center and the radius.
Standar equation of a circle
(x - h)² + (y - k)² = r²
-Identify the values of h and k
h = 7 k = 0 and r = 9
-Substitution
(x - 7)² + (y - 0)² = 9²
-Simplification
(x - 7)² + y² = 81
Mate, stop repeating questions, wait until your question has been answered.
15% of 180 is (180 * 0.15) = 27.
180 - 27 = $153 paid.
20% of 200 = (200 * 0.2) = 40.
200 - 40 = $160 paid.
Therefore Sport City offered the better deal.
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
<h3>
What is Inequalities?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Learn more about Inequality from:
brainly.com/question/20383699
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