Answer:
14.4222
Step-by-step explanation:
Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²
Distance between two points = √(6 – -2)² + (-5 – 7)²
√(6 – -2)² + (-5 – 7)²
√8² + (-12)²
√64 + 144
√208
14.4222
I hope this helps
Hi there!

First we need to work out the parenthesis, which can for instance be done using rainbow technique.

Now subtract 3 from both sides.

And finally add 3x to both sides.

The 4th answer choice is correct.
By the remainder theorem of polynomial division, the complete equation is f(-3) = 11
<h3>How to complete the blanks?</h3>
The equation is given as:
f(x)/x + 3
Set the divisor to 0
x + 3 = 0
Solve for x
x = -3
Given that the quotient has a remainder of 11.
It means that:
f(-3) = 11
Hence, the complete equation is f(-3) = 11
Read more about remainder theorem at:
brainly.com/question/13328536
#SPJ1
Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = - 
Answer:
c
Step-by-step explanation:
she pays a one-time fee of 50, and 15$ per month