Answer:
-(x-8)(x+6)
Step-by-step explanation:
-x^2+2x+48
-(x^2-2x-48)
-(x-8)(x+6)
The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.
Answer:
5140 and 3140
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 140 - 40 = 240 - 140 = 340 - 240 = 100
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 40 and d = 100, thus
= 40 + (51 × 100) = 40 + 5100 = 5140
= 40 + (31 × 100) = 40 + 3100 = 3140
Simplify brackets
351 = y * 8 + 7
Regroup terms
351 = 8y + 7
Subtract 7 from both sides
351 - 7 = 8y
Simplify 351 - 7 to 344
344 = 8y
Divide both sides by 8
344/8 = y
Simplify 344/8 to 43
43 = y
Switch sides
<u>y = 43</u>
Collinear points lie on the same line. So, you must look for other points that lie on the line that connects A and N. If you start from A and continue along that line, you can see that, after N, you will meet points M and F.
So, those points are collinear with A and N.
