let x be the flour
now
or,(21/2)+x=42/3
or,(21+2x)/2=42/3
or, 3(21+2x)=42×2
or, 63+6x=84
or,6x=84-63
or, 6x =21
or, x=21/6
thus she need 21/6 cups of flour
2) 48
3) 72
4) 48
5) 105
6) 47
7) 37
8) 400
9) 17
10) 13
I hope this helps! Let me know if I get anything wrong so I can fix it.
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
