Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x
Using the method of completing the square
add ( half the coefficient of the x- term)² to x² + 2x
= x² + 2(1)x + 1²
= x² + 2x + 1
= (x + 1)² ← perfect square
Answer:
y = -6x + 4
Step-by-step explanation:
2 parallel lines should have equal slope
Rewrite 6x + y = 92
It is now y = -6x + 92. Slope is -6
So the new equation should also have -6 as the slope.
y = -6x + b
Substitute (1,-2) into this equation
-2 = -6(1) + b
-2 = -6 + b
4 = b
So equation is y = -6x + 4
Answer:
BCG =65
Step-by-step explanation:
DCG + GCB = DCB
We know BCG = 31x+3 and GCD = 12x+2 and BCD = 91
Substituting these in
12x+2 + 31x+3 = 91
Combine like terms
43x +5 = 91
Subtract 5 from each side
43x+5-5 = 91-5
43x = 86
Divide by 43
43x/43= 86/43
x=2
BCG = 31x+3
=31(2)+3
=62+3
=65
So there are
5.1<span> gallons of paint in each of the 8 containers.</span>
Answer:
volume = 4/3 (pi x r^3)
Volume = 4/3 (pi x 15^3)
Volume = 4/3 (3.14 x 3375)
Volume = 14130 cubic cm
Step-by-step explanation:
