Answer:
A. 29i
Step-by-step explanation:
Step 1: Plug in given variables
(2 - 5i)(2 + 5i)i
Step 2: Difference of squares (expand)
(4 - 25i²)i
Step 3: Imaginary numbers rules
(4 - 25(-1))i
Step 4: Combine like terms
(4 + 25)i
(29)i
Your final answer will be 29i
Answer:
40
Step-by-step explanation:
6% of number = 6/100 × x = 6x/100 = 3x/50
Sum of the number and 6% of itself = 42.4
x + (3x/50) = 42.4
(50x+3x)/50 = 42.4
53x = 42.4 × 50
53x = 2120
x = 2120/53
x = 40
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant
Answer:
188
Step-by-step explanation:
f(x)=4x² - 10+2
f(-7) = 4x² - 10 + 2
= 4(-7)² - 10 + 2
= 4 (49) - 10 + 2
= 196 - 10 + 2
= 188