The slope of a line perpendicular to another line has a
slope which is the negative reciprocal of that line or:
m1 = -1/m2
First, we convert the given equation into slope-intercept
form of a line: y = mx + b
8x + 15y = 12
15y = -8x + 12
y = (-8/15) x + 0.8
m1 = -8 / 15
Therefore the slope of the perpendicular line is:
m2 = 15 / 8
Since the perpendicular line crosses the point (11, 17), therefore
using the slope formula:
m = (y2 – y1) / (x2 – x1)
15 / 8 = (y2 – 17) / (x2 – 11)
1.875 (x2 – 11) = y2 – 17
1.875 x2 – 20.625 = y2 – 17
y2 = 1.875 x2 – 3.625
y = (15/8) x – 3.625
multiplying both sides by 8:
8y = 15x – 29
rewriting in standard form:
<span>15x – 8y = 29 (ANSWER)</span>
0.13 is the answer
Hoped that helps:)
Answer:
70
Step-by-step explanation:
In this problem, 27 adults conduct a survey.
In the results of the survey, it is found that 35% of the adults are concerned with poverty.
If we call:
x = number of adults surveyed
y = adults concerned with poverty
This means that we can write the following relationship:
(1)
where
represents the percentage of adults concerned with poverty, rewritten in decimal form (
)
Later, we are told that 200 adults are surveyed, so now we have
x = 200
So substituting into eq(1) we can find how many of these adults are concerned with poverty:

I'm pretty sure its just the last 3