Answer:
it is 63.3 , If I am not mistaken
Step-by-step explanation:
you set up a proportion so two fractions basically
42.2 on top of 6 , then y on top of 9
bc both 9 and 6 are x's so you can put them both as denominators or numerators . Anywhere but they have to be in the same position.
so after you do your fractions (proportions) you cross-multiply- divide or also called the butterfly method.
42.2×9= 379.8/ 6 = 63.3
Slope is (change in y)/(change in x). If you have a slope of -2/3 the change in y is -2 and the change in x is 3. Find the point (-2, 1) on the xy plane. Change the y component by -2 (move down 2 grid lines) then change the x component by 3 (move to the right 3 grid lines). If you repeat this process in both directions then draw a line through the points you'll have a line with slope -2/3 which passes through the point (-2, 1). The equation of this line is: y=-2/3x-1/3
Answer:
8(7) = 56
Step-by-step explanation:
The question is telling us that we are to multiply 8 and 7 together. So we have 8 x 7, which equals to 56.
Stokes' theorem equates the line integral of along the curve to the surface integral of the curl of over any surface with the given curve as its boundary. The simplest such surface is the triangle with vertices (1,0,1), (0,1,0), and (0,0,1).
Parameterize this triangle (call it ) by
with and . Take the normal vector to to be
Divide this vector by its norm to get the unit normal vector. Note that this assumes a "positive" orientation, so that the boundary of is traversed in the counterclockwise direction when viewed from above.
Compute the curl of :
Then by Stokes' theorem,
where
The integral thus reduces to
Answer: y=-8x+36
Step-By-Step:
y=-8x+b
12=-8(3)+b
12=-24+b
b=36