Answer:
D
Step-by-step explanation:
The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--2)=-5/2(x-2)
y+2=-5/2x+10/2
y=-5/2x+5-2
y= -5/2x+3
(3a²+6ab-24²)= 3a(a+2b)x(4b)
X+y=14 (*25)
35x+25y=410
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35x+25y=410
25x+25y=350
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10x=60
x=6
The statement is true. X= all real numbers
Answer:
20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36
Step-by-step explanation:
Simplify the following:
20 - (10 + 2/9) - (5 + 1/4)
Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:
20 - (9×10)/9 + 2/9 - (5 + 1/4)
9×10 = 90:
20 - (90/9 + 2/9) - (5 + 1/4)
90/9 + 2/9 = (90 + 2)/9:
20 - (90 + 2)/9 - (5 + 1/4)
90 + 2 = 92:
20 - 92/9 - (5 + 1/4)
Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:
20 - 92/9 - (4×5)/4 + 1/4
4×5 = 20:
20 - 92/9 - (20/4 + 1/4)
20/4 + 1/4 = (20 + 1)/4:
20 - 92/9 - (20 + 1)/4
20 + 1 = 21:
20 - 92/9 - 21/4
Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:
(36×20)/36 + (4 (-92))/36 + (9 (-21))/36
| 3 | 6
× | 2 | 0
| 0 | 0
7 | 2 | 0
7 | 2 | 0:
720/36 + (4 (-92))/36 + (9 (-21))/36
4 (-92) = -368:
720/36 + (-368)/36 + (9 (-21))/36
9 (-21) = -189:
720/36 - 368/36 + (-189)/36
720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:
(720 - 368 - 189)/36
720 - 368 - 189 = 720 - (368 + 189):
(720 - (368 + 189))/36
| 1 | 1 |
| 3 | 6 | 8
+ | 1 | 8 | 9
| 5 | 5 | 7:
(720 - 557)/36
| | 11 |
| 6 | 1 | 10
| 7 | 2 | 0
- | 5 | 5 | 7
| 1 | 6 | 3:
Answer: 163/36
