Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3
<span>c.)11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
In order to compare, try to bring all of them into one similar form, like decimal.
Then, 11/9 = 1.22
Then, we can compare numbers under root, as 5 would be smaller than 11 which in turn is smaller than the 20, then 2^3 is 8, largest in series.
Hope this helps!</span>
<em><u>Question:</u></em>
? Liter equivalent to 0.000 000 000 013 cubic kilometers
How do we do it?´
<em><u>Answer:</u></em>
13 liter is equivalent to 0.000 000 000 013 cubic kilometers
<em><u>Solution:</u></em>
Given that,
? Liter equivalent to 0.000 000 000 013 cubic kilometers
So we have to convert cubic kilometer to liter
<em><u>Use the following conversion factor</u></em>
Therefore,
Thus, 13 liter is equivalent to 0.000 000 000 013 cubic kilometers
