Answer: R = (-8, 20)
Step-by-step explanation:
Given that :
M is the midpoint of RS
M = (-4, 5)
S = (0, - 10)
NOTE :
midpoint, M equals
Mx = (Rx + Sx) / 2
My = (Ry + Sy) / 2
Mx = - 4, Sx = 0, My = 5, Sy = - 10
Mx = (Rx + Sx) / 2
-4 = (Rx + 0) / 2
-8 = Rx + 0
Rx = - 8
My = (Ry + Sy) / 2
5 = (Ry + (-10)) / 2
10 = Ry - 10
10 + 10 = Ry
Ry = 20
Hence, coordinates of R = - 8 and 20
R = (-8, 20)
Step-by-step explanation:
m+3=9
m=9-3=6
The second question I guess that it is solved like
2x+5=11
2x=11-5
2x=6
X=3
Or the other qusetion 5x-8=27
5x=19
X=19/5
I don't know the machine so sorry
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Given
subject to the constraint
Let
.
The gradient vectors of
and
are:
and
By Lagrange's theorem, there is a number
, such that
It can be seen that
has local extreme values at the given region.
