Answer:
11. A) 6x = 13
Step-by-step explanation:
11. Subtract 10 from both sides to make it equal 6x=13
12. For #12... None of the answers seem right? If you distribute and subtract, it should be
-4x + 44 = 66 then
-4x = 22...
Sorry if this didn’t help much, I know that 11 is right though ;)
Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is 
which is 
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
Answer:
So since the scale is 12 inches:5 feet, we have to divide 412 inches by 12 inches because 412 inches is the total length drawn on the scale drawing.
412/12 = 34.3
Then since each 12 inches equals 5 feet and we have 34.3 12x inches. We are just going to multiply 34.3 by 5.
34.3*5 = 171 and 2/3 feet is your actual length of the bus
I believe C. The temperature is -23 degrees.
This is because, a negative (absolute value) becomes positive
Which would lead for |-23| to end up being |23|
Anytime a negative absolute value is placed, it becomes a positive and a positive stays positive.
So the smallest would be C then B later D and at last A
Answer:
6 1/5
Step-by-step explanation: