<u>Answer:</u>
Value of cosθ is ±√7/3 .
<u>Step-by-step explanation:</u>
According to the Question , value of :

And , we know the identity of sine and cosine as ,
<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :
We can solve this problem using discriminant.
x^2-4x-12's discriminant is
(-4)^2-4*-12=16+48 which is clearly larger than 0
This means that it crosses over the axes 2 times.
In case you don't know what discriminant is, its in equation ax^2+bx+c
the discriminant is b^2-4ac.
If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.
Hope this helped at least a little bit :D
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m =
=
= - 1
Hello there
1) asthenosphere lies below lithosphere and part of uppermantle.
it's highly viscous and behaves plastic.
it lies approximately 70-150 km below surface depending which . (50km below oceanic crust and 150km below continental crust)
2) 1/2 '4 =1/16 (4 is to the power of 1/2)
hope this helps
thank you
Best Regards Queen Z
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

Then your expression for this quadratic should be:

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one