Answer:
x(3y - 1) and (2a - 3)(2a + 3)
Step-by-step explanation:
(1)
3xy - x ← factor out x from each term
= x(3y - 1)
(2)
4a² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4a² - 9
= (2a)² - 3²
= (2a - 3)(2a + 3)
Answer:
2 : 5
Step-by-step explanation:
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
We are to determine the ratio of dimes to nickels
total sum of nickels = 3 + 12 = 15
total sum of dimes = 4 + 2 = 6
6 : 15
three can divide each of the numbers
2 : 5
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Answer:
I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.
Step-by-step explanation:
In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.
Answer:
The value of given log function is 1 .
Step-by-step explanation:
Given as :
Logb A = 3
Logb C = 2
Logb D = 5
<u>Now from log property </u>
if , Logb x = c , then x = 
So,
Logb A = 3 , then A = 
Logb C = 2 , then C = 
Logb D = 5 , then D = 
Now, According to question
So, 
Or, 
or, 
Now, since base same So,
∴ 
<u>Now log property </u>
= 1
Hence The value of given log function is 1 . answer
