Answer:
A -60i - 14j
Step-by-step explanation:
u = -9i + 8j
v = 7i + 5j
2u = 2(-9i + 8j) = -18i + 16j
6v = 6(7i + 5j) = 42i + 30j
2u - 6v
(-18i + 16j) - (42i + 30j)
(-18i - 42i) + (16j-30j)
-60i - 14j
1. Subtract 3 from both sides:
y - 3 = 8x
2. Divide both sides by 8:
y - 3/8 = x
3. Switch sides:
x = y - 3/8
S= 2 (LW) +2 (LH) +2(WH)
then we can plug in the values we know! :)
S= 2(2*3) +2(2*4) +2(3*4)
Then we can do some simplifying
S= 2(6) +2(8) +2(12)
Then some more multiplying...
S=12 +16 +24
Then lastly, addition
S= 52 cm^2
First, find the midpoint of the diameter. the midpoint is the center of the circle.
[(-10+(-6)]/2=-8, [(-8+(-2)]/2=-5
so the center is at (-8, -5)
next, find the distance between the two points:
d=√[-6-(-10)]²+[-2-(-8)]²=√4²+6²=√52=2√13
half of the diameter is radius, r=half of 2√13=√13
standard equation for the circle is (x-h)²+(y-k)²=r², (h,k) being the center, r the radius
(x+8)²+(y+5)²=13 is the answer.
The formula to use is
n = 360/E
where
n = number of sides
E = measure of exterior angle
In our case, E = 15 so
n = 360/E
n = 360/15
n = 24
This regular polygon has 24 sides