Answer:
5log(a) +2log(b)
Step-by-step explanation:
you were close, but you dont multiply the exponents together since a and b are two different variables
Answer:
17
Step-by-step explanation:
First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2
(it's very important that the ∠ABD angle is 90 degrees)
8^2 + 15^2 = s and 5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)
64 + 225 = 289 now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17
Hope it helped!
I’m pretty sure the answer is -10
Answer: They are parallel
Step-by-step explanation:
If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.
To check this , we must calculate the slope of the two lines given.
Slope = 
from the first point
= 2
= 1
= 5
= -1
substituting the values
slope 1 = 1 - 2 / -3 - 5
slope1 = -1 / -8
slope 1 = 1/8
Using the same format to calculate the slope of the second line
= -2
= 0
= -1
= 15
slope 2 = 0 - (-2) / 15 - (-1)
slope 2 = 2/16
slope 2 = 1/8
Since slope 1 = slope 2 , this implies that the lines are parallel