Step-by-step explanation:
9 = a7 + b
-2 = a9 + b
b = 9-7a and b = - 2-9a
9 - 7a = - 2-9a
2a = - 11
a = - 5.5
b = 9 - 5.5*7 = - 29.5
y = -5.5x - 29.5
Answer: 29.7 pounds
Step-by-step explanation:
The expression in question is w/6.
If the weight of an object on earth is w, the weight of the object on the moon is w/2.
The weight of the space suit is therefore:
= 178.2/6
= 29.7 pounds
Behold the quotient of F and the product of r,s, and T: <em>F / (r·s·T)</em>
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Answer:

Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:
, or equivalently,
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is
.
To test whether this is correct, we can take first slope,
, and multiply it with the negative reciprocal slope
:


Therefore, we came up with the correct slope for the other line, which is
.
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:
