Given:
The system Mx+Ny=P has a solution (1,3) where Rx+Sy=T; <span>M, N, P, R,S and T are non-zero real numbers.
Solve for M, N, R, P, S, T:
M +3N = P
R + 3S = T
The given choices should simplify to the equations above.
A) Mx +Ny = P
7Rx + 7Sy = 7T
7(Rx + Sy) = 7T
Rx + Sy = T
remarks: CORRECT
B) (M+R)x + (N+S)y = P + T
Rx + Sy = T
Mx + Rx + Ny + Sy = P + T
Mx + Ny + T = P + T
Mx + Ny = P
remarks: CORRECT
C) Mx + Ny = P
(2M - R)x + (2N - S)y = P - 2T
2Mx - Rx + 2Ny - Sy = P - 2T
2(Mx + Ny) - (Rx + Sy) = P - 2T
2P - (Rx + Sy) = P - 2T
remarks: INCORRECT
</span>
If you start with all the sides of the hexagon being congruent, you can then figure out angle measures, then you can conclude that all the sides of polygon GBHE are congruent, so it is a rhombus.
Each angle at vertices H and G measures 120 deg.
Each angle at vertices E and B measures 60 deg.
Answer:
14. -5√30 +3√2
15. 18√5 -30√3
Step-by-step explanation:
You can multiply radicals using ...
(√a)(√b) = √(ab)
And you can simplify radicals using ...
√(a²b) = a√b
_____
14. Using the distributive property, then simplifying the radicals, we have ...
__
15. Similarly, ...
Answer:
no
Step-by-step explanation:
the punctuation was a little confusing, but heres what i think u meant
"A grocery store is giving a reusable bag to every person who donates more then than 5.00 to charity, Courtney donates 1.25, will she get a bag?"
for this answer we see that x is the amount of money someone donates, so x has to be greater then 5.00, so the mathematical expression would be shown like this
x > 5.00
if x is not greater then 5.00 (like if its equal or less) then the store will not give a new bag, in this case 1.25 is not an amount that x can be
Answer: Estimated the standard deviation α = 5.35
Step-by-step explanation:
According to Empirical rule, the largest value is approximately:
ц + 3α
And the smallest value is approximately:
ц + 3α
Based on the given figures in the question, we can say
ц + 3α = 140.6
ц - 3α = 108.5
Now subtracting these two; we have
ц + 3α - ( ц - 3α ) = 140.6 - 108.5
ц + 3α - ц + 3α = 32.1
6α = 32.1
α = 32.1 / 6
α = 5.35
Estimated the standard deviation α = 5.35
