Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
Answer:
5 units
Since they both have the same y value, just subtract the a value's x from the b's x value
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Length = 100 m
Width = 52 m
Area of rectangle = 100 × 52 = 5200 m²
A semicircle is half of a circle
The formula for determining the area of a semicircle is
Area = 1/2 × πr²
Diameter = 52 m
Radius = diameter/2 = 52/2
Radius = 26 m
The area of each semicircle is
1/2 × 3.14 × 26² = 1061.32 m²
The area of the surface of the pool is
1061.32 + 1061.32 + 5200 = 7322.64 m²
Equivalent Expressions are expression that have the same value on both side of the equal sign.
Expression 1:
First simplify both sides of the expression. One of them are already fully simplified.
8x-4y=4(-y+2x)
8x- 4y=-4y+8x
This expression IS an equivalent expression.
Expression 2:
Do the same as in expression one (we will be simplifying all of the expressions).
8x+4y=4(2x+y)
8x+4y=8x+4y
This expression IS an equivalent expression.
Expression 3:
4x-8y=4(-x+2y)
4x-8y=-4x+8y
This expression IS NOT an equivalent expression.
Expression 4:
4x+8y=4(x+2y)
4x+8y=4x+8y
This expression IS an equivalent expression.
Expression 5:
4x+8y=4(8xy)
4x+8y=32xy
This expression IS NOT an equivalent expression.
