Answer:
Solution: Since, the prime factors of 308 are 2, 7, 11. Therefore, the product of prime factors = 2 × 7 × 11 = 154.
Step-by-step explanation:
<span>-4(5x6)
=</span><span>-4(30)
= - 120</span>
To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where 
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines 
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of 
:
3- Use the coordinates of the point 
to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
Answer: 8.9 units (choice C)
Explanation:
We plug 
into the distance formula to get the following
Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________
Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________
The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!
