Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
For a square, you can use the points, (1, 5) and (–2, 3). To find these,
think about how you move from point (0, 0) to (3, 2). Rise = 2 and run = 3 for
a slope of 2/3. The perpendicular line segments will have a slope of –3/2 or
rise = 3 and run = –2. Starting at (0, 0) move up 3 and left 2 to get the point
(–2, 3). Do the same movements from (3, 2) to get the point (1, 5).For a rectangle you could use the points (3, 0) and (0, 2).
To make it a NON-rectangular parallelogram, just scoot each of those points
over a bit in opposite directions ... from (3, 0) to (4, 0) and from (0, 2)
to (–1, 2).For a right triangle, just use either (3, 0) or
(0, 2). Combined with the other 2 given points, this will form a right triangle
This one’s pretty easy because it’s a square meaning the corners will always be 90 degrees so if a line splits the 90 it becomes half which is 45. And the reason AEB is 90 is because it’s two top corners are 45 degrees so the last angle must make the whole triangle equal 180 degrees.
DBC=45
AEB=90
Answer:
The ratio of games lost to games won is 2:5.
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