-x^2 + 4x + 12 = -3x + 24
-> x^2 - 7x + 12 = 0
-> (x-3)(x-4) = 0
-> x= 3 or 4
so y = 15 when x = 3, y = 12 when x = 4
B because absolute value means the distance of a point on a number line from 0. So the absolute value of -6 is 6 and you add that to 4
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
5 - 1.25 = 3.75
Melody’s mom pays her sister $3.75 for emptying the dishwasher.
