Y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24
x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3
y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)
answer
(3, 15) and (4, 12)
Answer:
0.22
Step-by-step explanation:
2/9 = 0.22
Congruent to angle 1: 3, 5, 10, 8, and 6
congruent to angle 2: 4, 9, and 7
Answer: 1) AC = 13
The formua does not actually apply to all of the problems.
Step-by-step explanation:
1) The absolute value of -8 is added to the absolute value of 5. 8+5=13
2) Subtract the length of the EF from EG to get the length of FG 21 -6 = 15
3) Take what's given and create an equation to solve. 4x + 15 +39 =110. 4x = 110 - (15+39).
4x =110-54. 4x =56. x=56/4. x=14
4) Create another equation. You have two segments that add up to the length of EG, given =23
EF+FG=EG
(2x-12)+(3x-15)=23
5x - 27 = 23
5x= 23+27 5x =50. x = 10
Substitute 10 for x
EF=2(10) -12 EF=8
FG=3(10)-15. FG=15
EF+FG =EG.
8 + 15 = 23
5) 2/5 of 25 is 10 So EF is 10. Subtract from 25 to get FG
FG = 15
I hope this helps you.
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
