Answer:
B
Step-by-step explanation:
We are given the two functions:

And we want to find:

Substitute:

Rewrite:

Combine like terms:

In conclusion:

Hence, our answer is B.
Multiply both sides by 2
w= -1×2
simplify 1×2 to 2
w= -2
(27 divided by three because there are only permitted 3 doggies per kennel so the answer is 9)the ratio will be 9 : 27 or simplified version is 3:9
Answer:
The <em>surface area</em> of the cube is equal to 216 cm².
General Formulas and Concepts:
<u>Geometry</u>
Surface Area Formula [Cube]:

- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 6 cm
<u>Step 2: Find Surface Area</u>
- [Surface Area Formula - Cube] Substitute in <em>a</em>:

- Evaluate:

∴ we have found the surface area of the cube to be 216 cm².
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Topic: Geometry
Answer:
The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°
Step-by-step explanation:
Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,

Now that we have these, we can add them to obtain v as follows,

Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),
So the length of the vector is 90.033 and the angle it makes with the positive x-axis is 153.339°.