Answer:
The answer to your question is the first option
Step-by-step explanation:
Original expression
-3/8 (-4 + 1/2)
First option -3/8 (-4) + (3/8)(1/2) This option is not equivalent because
they forgot the negative sign of the
second term.
Second option (-3/8)(-4) + (-3/8)(1/2) This option is equivalent to the
original. Distributive property
Third option (-3/2)(-3 1/2) This option is equivalent to the original
Fourth option (-3/8)(-3) + (-3/8)(-1/2) This option is equivalent to the original
the formula for a horizontal shift is (x-a) and this graph has moved 2 units to the left, -2, so the formula becomes (x+2)
The team gained a total of 3 yards. That is because they first gained 8 (0 + 8), then lost 3 (8 - 3).
Answer:
(5a - [2b - 7c]) and (5a + [2b + 7c])
Step-by-step explanation:
Factor 25a^2 - 4b^2 + 28bc - 49c^2.
Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable. Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:
- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or
-(2b - 7c)^2.
Thus, the original 25a^2 - 4b^2 + 28bc - 49c^2 looks like:
[5a]^2 - [2b - 7c]^2
Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b). Applying this pattern to the problem at hand, we conclude:
Thus, [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])
