Answer:
Step-by-step explanation:
The formula to find the angle between 2 vectors is
which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = 
. Filling in that formula requires us to find the dot product of u and v, which is
u·v = (2×(-6)) + (a×8) so
u·v = -12 + 8a. Then we need the magnitudes of both u and v:
and
Putting all of together looks like this:
. Cross multiply to get
which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is
and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:
100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get
800 + 200a² = 256a² -768a + 576. Combine like terms to come up with
0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.
Therefore, the value for a is 14. I checked it...it works
Answer:
1). This is a right angle triangle = TRUE
2). The hypotenuse of the triangle has a length of 21 = FALSE ("C" is the hypotenuse which makes 21 and 20 the leg of the triangle)
3). One of the legs has a length of 20 = TRUE
4). The length of "c" can be found by 202 + c2 = 212 = FALSE (To calculate the hypotenuse of the triangle you should use the formula a² + b² = c² )
The answer to this is -5 because 2 negatives = a positive
I believe that f(2) is 34.5
f(2) = 2(34) + 1
f(2) = 68 + 1
f(2) = 69
f = 69/2
f = 34.5
I AM NOT SURE
"(2, 0)" is the one solution to the inequality y > −3x + 2 among the following choices given in the question that <span>are shaded on the graph. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.</span>
