let the length of each shorter side be x
length of longer side= x+14
2(x+14) + 2x = 48
2x + 28 + 2x = 48
4x + 28 = 48
4x = 48-28
4x = 20
x = 5
shorter side = 5cm
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. What is the catch? There can be at most one output for every input.
C is the total amount and A is the #of articles of clothing
first qn
4/36=1/9
total no. of ways to roll a dice=36
no. of ways to produce 7=3
(1+6=7, 2+5=7, 3+4=7)
no. of ways to produce 11=1
(5+6=11)
there are 4 ways in total. 4/36 simplify it to be 1/9
second qn im not sure but i think its
1/9 x 50 = 50/9 = 5 x (5/9)
round it off to the smaller whole no. which is 5 so i think its 5 times in 50 trials
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
