Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
Answer:
3/5
Step-by-step explanation:
(3/5) · (1/2) over (3/5) · (1/2) + (2/5) · (1/2)
= 3/5
Answer:
simultaneous equations
Step-by-step explanation:
phils age =7x
Peter age=x
scenario 2
phils age = 4(7x)
Peter age= 2x-2
Answer:
2 hours.
Step-by-step explanation:
Money earned for 14 hours of life-guarding = 14*18 = $252. If he worked another 5 hours to make the maximum of 19 he would earn 252 + 5*9
= $297 but he wants to work a minimum of hours for a minimum of 270.
Thus we have the inequality:
252 + 9x ≤ 270
9x ≤ 18
x ≤ 2.
So the number of hours he must do clearing tables = 2.