INTERMEDIATE LEVEL 5. Find the equation of the line passing through
the point
(d) (2, -3) and perpendicular to the line y + 2x = 13.​

y = (1/2)x - 4

Step-by-step explanation:

The equation of the given line is

y = -2x + 13

The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be

y = (1/2)x + b

To solve for b, use the point (2, -3)

-3 = (1/2)(2) + b ---> b = -4

Therefore, the equation that we need has the form

y = (1/2)x - 4

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316