Answer:
2x+8y=6
Step 1: Add -8y to both sides.
2x+8y+−8y=6+−8y
2x=−8y+6
Step 2: Divide both sides by 2
=
x=−4y+3
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−5x−20y−15
There are no like terms.
Answer:
=−5x−20y−15
a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina
1 answer:
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Answer:
Step-by-step explanation:
The equation of a parabola: y = ax²
The larger the value of |a|, the narrower the parabola.
We have the following coefficients a:
We arrange the coefficients from the smallest to the largest:
Therefore you have the answer:
Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
