<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
Answer:
The correct answer is D or (-2,2)
Step-by-step explanation:
Just did it.
Answer:
We know that the measure of each side is:
5.2cm to 1 decimal place.
Then we can assume that the error is 0.05cm (half of the second decimal place).
With this, the interval of the length of each side will be:
(5.2cm - 0.05cm) = 5.15cm (as the minimum)
(5.2cm + 0.05cm) = 5.25cm (as the maximum)
Then the interval is (5.15cm, 5.25cm)
2) We know that the perimeter of a square of sidelength L is:
P = 4*L
In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:
P = 4*5.15cm = 20.6cm
And the maximum perimeter can be:
P = 4*5.25cm = 21cm
Then the interval is: (20.6cm, 21cm)
Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.
Answer: (assuming there are absolute value bars on the x + 8) x = -7, x = -9
Step-by-step explanation:
x + 8 = 1
subtract 8
x = -7
x + 8 = -1
subtract 8
x = -9