Answer:
y=23
x=28
Step-by-step explanation:
3y=2x+13
8y-4=180
basic algebra, solve 2nd equation then substitute
Answer
a) PQ = 50
b) PC = 18
PY = 27
c) ZC = 6
ZQ = 18
Explanation
Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.
Part a
X is the midpoint of PQ. SoPX = XQ.
If PX = 25,
then PQ = 2PX
PQ = 2×25
PQ = 50
Part b
The centroid is alway two thirds away from the vertex.
Also PC = twice CY
PC = 2×9
PC = 18
So, if CY = 9, then PY = 3 × 9
PY = 27
Part c
(i) The centroid is alway two thirds away from the vertex.
If ZC = 12, then CZ =(1/2)QZ
CZ = (1/2) × 12
CZ = 6
(ii) The centroid is alway two thirds away from the vertex.
So, if CZ = 6, then QZ =3 CZ
QZ = 3×6
QZ = 18
Remember
(abc)/(def)=(a/d)/(b/e)(c/f)
and
(x^m)/(x^n)=x^(m-n)
and
x^-m=1/(x^m)
group like terms
(28/12)(p^9/p^-6)(q^-5/q^7)=
(7/3)(p^15)(q^-12)=
It would be C.
For example, say 1 person comes. This would be x=1. Plugging this in gives you,
y=0.5 + 1.3
This shows that C is true since x is always going to be multiplied by 0.5.
1.3 would be the base amount of time it takes to arrange since if it the y-intercept.
--(-k)------------(-3)-------(-2)------(-1)-----0----(+1)---(+2)---(+3)---------------(+k)--
You will notice that all values on the left of "0" are negative and positive on the right .
Moreover
+1 is symmetric to -1 about "0"
+2 is symmetric to -2 about "0"
+3 is symmetric to -3 about "0"
and +k is symmetric to -k about "0"
So the opposite of -k is +k and it's symmetric of -k vs."0"
