(3n + 2)(n+3) I just need the answer ASAP
2 answers:
Answer:
Step-by-step explanation:
<u>Key skills: Expanding Polynomials, Multiplication, Combining Like Terms</u>
1) We are given (3n + 2)(n+3) and we need to expand this.
--> You have to use distributive property to expand this.
--> If you multiply everything out it would be --> 3n(n) + 3n(3) + 2(n) + 2(3)
--> 3n(n) = , 3n(3) = 9n, 2(n) = 2n, 2(3) = 6
--> This means it would be:
Combine the like terms 9n and 2n to make 11n
Your final answer would be
<em>Hope you understood it and have a nice day!! :D</em>
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Answer:
27 miles.
Step-by-step explanation:
Here I attach the draw of the coordinates.
Tony traveled 3 segments. The first was from (12,6) to (12, 15), where, leting 12 constant, he moved from 6 to 15 in the ordinates axis, which implies 9 units. This is the section 1 in the draw.
Then he moved from point B to C. If you notice, this distance is the hypotenuse on the the triangle DBC. We can find this value using Pitagoras' theorem:
DB^2 + CD^2 = CB^2
With DB=15 and CD=8 (12 minus 4 = 8)
15^2 + 8^2 = 289
So CB^2=289
Applying sqr root:
CB = 17
So, the second section has a measure of 17 units.
Finally, the 3rd section is the hypotenuse of the DAC triangle and we can use Pitagoras to solve it:
CD^2 + AD^2 = CA^2
8^2 + 6^2 = CA^2
64 + 36 = 100
So, CA=10
In the 3r section we traveled 10 units.
So, in total he traveled 10 + 17 + 9 = 36 units
As every unit is 0.75 miles he traveled 36*0.75 miles:
36*0.75 = 27 miles
He traveled in total 27 miles!!
