Hello there! :)
We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, make it negative, and flop it over:
2
-2
-1/2
So the slope of the line perpendicular to y=2x-3 is -1/2.
Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point
m is the slope
x1 is the x-coordinate of the point
Now, let's plug our values into the equation:
y-y1=m(x-x1)
y-5=-1/2(x-4)
y-5=-1/2x+2
y=-1/2x+2+5
y=-1/2x+7
Hence, that is the equation of the line.
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
It would be 0.6. The total
To find the length of the altitude, we have to use the ratios of the similar sides.
Let the length of altitude=x
Ratio of sides:
So length of altitude is 9 cm.
Answer: 9 cm
Jason will need to use 9 more 1/3 gallon-ful pitchers to fill the rest of the empty 3/4 gallon water jug. You convert the two fractions so they have the same denominator (1/12 and 3/12). Then you add the remaining amount of 1/12's to complete 12/12, or 1.
For each result of the top spinner, A or B, the bottom spinner gives a result out of 1, 2, 3, 4, so the answer is
{A1, A2, A3, A3, B1, B2, B3, B4}
Answer: Choice B.
