ASAP!! NEED HELP WITH ONLY 21 AND 23 !!!
1 answer:
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Given:
Last year Lira earned $12,000 less than her husband Todd.
Together they earned $75,000.
To find:
The amount earned by Lira in last year.
Solution:
Let x be the amount earned by Lira's husband inn last year.
Last year Lira earned $12,000 less than her husband Todd.
Amount earned by Lira =
Total amount earned by Lira and her husband =
=
Together they earned $75,000.
Now,
Amount earned by Lira =
=
=
Therefore, the amount earned by Lira in last year is $31500.
Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) is
y=(1/3)*x+15
Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line
see the attached figure
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) is
y=(1/3)*x+15
Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line
see the attached figure