8.75 inches
5 divided by 4 is 1.25
1.25 x 3 = 3.75
3.75 + 5 = 8.75
Answer:
-12a³b²c ( 2bc² + 7a)
Step-by-step explanation:
To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,
-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c
- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c
The common elements are -2, 2, 3, a³, b², c
The product of the common elements
= -12a³b²c
Hence, factorizing
-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)
To take out terms outside the radical we need to divide the power of the term by the index of the radical; the quotient will be the power of the term outside the radical, and the remainder will be the power of the term inside the radical.
First, lets factor 8:
Now we can divide the power of the term, 3, by the index of the radical 2:

= 1 with a remainder of 1
Next, lets do the same for our second term

:

= 3 with a remainder of 1
Again, lets do the same for our third term

:

with no remainder, so this term will come out completely.
Finally, lets take our terms out of the radical:

We can conclude that the correct answer is the third one.
Answer:
I think √170
Step-by-step explanation:
The points are A: (-3,5) and (4,-6) so we plug this into the distance formula
√(x2-x1)^2+(y2-y1)^2
√(4-(-3))^2+(-6-5)^2
√(7)^2+(-11)^2=
√49+121= √170 or a really long decimal which starts out 13.038404810
If I got the points wrong I can redo the problem and get another answer but I did the problem on my own and used a calculator and got the same answer
Answer:
the solutions to the inequality ys-x+1 are shaded on the graph. which point is B. (3 ,-2)