1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.
... (4g² +28g) + (-7g -49)
... = 4g(g +7) -7(g +7) = (4g-7)(g+7)
2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.
... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))
... = 5(8y +3)(8y -5)
3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.
Multiply each term in the first set of parentheses by each term in the second set, then combine like terms.
7x x 3x^2 = 21x^3
7x x -4x = -28x^2
7x x 5 + 35x
-6 x 3x^2 = -18x ^2
-6 x -4x = 24x
-6 x 5 = -30
Combine like terms to get:
21x^3 - 46x^2 + 59x - 30
Equation A simplifies to 0 = 0. It is always true.
Equation B simplifies to 1 = -1 for a ≠ 0. It is never true.
Equation C simplifies to 2a = 0. It is true only for a = 0.
Equation D simplifies to 2a = 0. It is only true for a = 0.
The equation that is true for all values of "a" is ...
A. Equation A
Answer:
3) ED
Step-by-step explanation:
3)ED
as u can see, AC has a 90 degree angle with ED
Answer: b
Step-by-step explanation:
