Answer:
The other leg is 6 and the Hypotenuse is 6√2
Step-by-step explanation:
because it's a 45 45 90 the legs equal and the Hypotenuse is square root 2 times leg
Answer:
n = -8
Step-by-step explanation:
5+n/8=4
Subtract 5 from each side
5-5+n/8=4-5
n/8 = -1
Multiply each side by 8
n/8 * 8 = -1 *8
n = -8
Answer:
The correct answer would be option C
Step-by-step explanation:
3^2*3^4*3^6=531441
3^12=531441
or for a simpler way you can just add the exponents together when the problem is set up like this
The factors of 2 are 2, 1
The factors of 32 are 2,16 8,4 32,1
We see that (2*-4)-(1*-8)=-16
So the factored form is:
(2x-8)(x-4)
Answer:
√3/2
Explanation:
The directional derivative at the given point is gotten using the formula;
∇f(x,y)•u where u is the unit vector in that direction.
∇f(x,y) = f/x i + f/y j
Given the function f(x, y) = y cos(xy),
f/x = -y²sin(xy) and
f/y = -xysin(xy)+cos(xy)
∇f(x,y) = -y²sin(xy) i + (cos(xy)-xysin(xy)) j
∇f(x,y) at (0,1) will give;
∇f(0,1) = -0sin0 i + cos0j
∇f(0,1) = 0i+j
The unit vector in the direction of angle θ is given as u = cosθ i + sinθ j
u = cos(π/3)i+ sin(π/3)j
u = 1/2 i + √3/2 j
Taking the dot product of both vectors;
∇f(x,y)•u = (0i+j)•(1/2 i + √3/2 j)
Note that i.i = j.j = 1 and i.j = 0
∇f(x,y)•u = 0 + √3/2
∇f(x,y)•u = √3/2
