12y = x + 23
Step-by-step explanation:
- y = −12x + 5
- Perpendicular slopes are opposite reciprocals.
- The original slope is −12
- So the new perpendicular slope is 1/12.
- We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b
y = mx + b
2 = 1/12 * 1 + b
2 = 1/12 + b
b = 23/12
- When we simplify this, we arrive at 12y = x + 23
Answer: The simplified expression is: " -2y + 19 " .
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Explanation:
Simplify this given expression: " 10 - 6y + 4y + 9 " .
Start with combining the "like terms:
+ 10 + 9 = + 19 ;
- 6y + 4y = - 2y ;
Now write the simplified expression:
" -2y + 19 " .
Note that the variables come first; in order of degrees, then the numbers, if any.
Hope this helps!
Best of luck to you in the "Brainly community" and in your future academic pursuits!
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Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
Look at the answer down here please
Total amount: 16
Red socks: 4
Probability of picking a red sock 4/16
If we take a red sock out and do not replace it, we are left with a total of 15 socks.
Blue socks: 6
So the probability of picking a blue sock will be 6/15
Multiply:
4/16 * 6/15 = 24/240 = 1/10
