Subtracting 4x+2y=21 from 4x-6y=17 will cancel out the x terms and result in -8y=-4. Then, dividing both sides by -8 results in y=1/2. In order to find x, plug 1/2 for y in either equation. If we use the first equation, the new equation looks like: 4x-6(1/2)=17. Multiplying -6 and 1/2 will simplify the equation to 4x-3=17. Then, adding three to both sides results in 4x=20. The last step is to divide both sides by 4 in order to get x by itself. x=5. So, the coordinate point that satisfies both equations is (5,1/2).
(-24z^2) / (6z)
Simplifies to -4
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B) p and the q are switched
C) Neither p or q is negated
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Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
- Original = If P, then Q
- Converse = If Q, then P
- Inverse = If not P, then not Q
- Contrapositive = If not Q, then not P
Side notes:
- The original and contrapositive are equivalent in truth value.
- The converse and inverse are equivalent in truth value.
The pattern is 4, 12, 36, 108, 324, 972, 2,916
4+8=12
12+24= 36
36+72= 108
108+216=324 .... and so on
Answer:
28 square units
Step-by-step explanation:
