Answer:
x=291/76
Step-by-step explanation:
Convert:
1/2x(6x+ 1/2)=-0.8x+16-1.2
Remove parenthesis and move terms:
3x+1/4=-0.8x+14.8
Collect the like terms and convert:
3x+0.8x=14.8-1/4
Subtract the fractions:
3.8x=74/5-1/4
Divide both sides by 3.8:
3.8x=291/20
x=291/76
Answer:
Division is not associative.
The associative property applies only to addition and multiplication, not subtraction or division.
(2x-3y) (4x-y)
Multiply the polynomials using distributive property.
(a+b)(c+d) = ac+ad + bc + bd
(2x-3y) (4x-y) = (2x) (4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
Apply plus/minus rule.
-(-a)=a and -(a)=-a
we get
=8x²-2xy-12xy+3y²
Add like terms
=8x²-14xy+3y²
Answer: 8x² - 14xy + 3y²
Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
Therefore, the two numbers are
and
Answer:
(14, 2 )
Step-by-step explanation:
Use the midpoint formula
[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]
with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)
midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )
