-3x-6y=17
-6y=3x+17
y=-x/2-17/6 so the slope of the line is -1/2
For another line to be perpendicular to this one the product of their slopes must equal -1
(-1/2)m=-1, m=2 so the perpendicular line will have a slope of 2...
y=2x+b, using point (6,3) we can solve for b...
3=2(6)+b
3=12+b
b=-9 so
y=2x-9
Answer:
Proofs are in the explantion.
Step-by-step explanation:
We are given the following:
1)
for integer
.
1)
for integer
.
a)
Proof:
We want to show
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(a+c)-(b+d)=rn. If we do that we would have shown that
.
kn+mn = (a-b)+(c-d)
(k+m)n = a-b+ c-d
(k+m)n = (a+c)+(-b-d)
(k+m)n = (a+c)-(b+d)
k+m is is just an integer
So we found integer r such that (a+c)-(b+d)=rn.
Therefore,
.
//
b) Proof:
We want to show
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(ac)-(bd)=tn. If we do that we would have shown that
.
If a-b=kn, then a=b+kn.
If c-d=mn, then c=d+mn.
ac-bd = (b+kn)(d+mn)-bd
= bd+bmn+dkn+kmn^2-bd
= bmn+dkn+kmn^2
= n(bm+dk+kmn)
So the integer t such that (ac)-(bd)=tn is bm+dk+kmn.
Therefore,
.
//
How do I solve n x 43.50 = 435
To solve this given expression, there various ways. We can utilize simply
by recognizing this as an algebraic equation.
The values then become
1. 43. 50 x n = 435
2. 43.50n = 435
3. N = 435 / 43.50
4. N = 10
Thus, n is 10.
Answer:
the first one is $6.66
Step-by-step explanation:
the 3 items added up is 74 cents, then 74 is multiplyed by 9.
The length is the long side and the width is the short side.
To find the area you multiply the 2 measurements.