Answer:
The equation is;
y = (-x-23)/25
Step-by-step explanation:
The equation of a straight line can be given as y = mx + b
where m is the slope and b is the y-intercept
for y = 25x + 4
m is 25
Now, we need the slope of a line perpendicular to this,
If two lines are perpendicular, the result of the product of their slopes is -1
m1 * m2 = -1
25 * m2 = -1
m2 = -1/25
Mathematically, we have the slope in the point slope form as ;
y+3 = -1/25 (x - 2)
y = -x/25 + 2/25
y = -x/25 + 2/25 - 3
y = -x/25 -73/25
Answer:
70%
Step-by-step explanation:
I'm sorry but I don't really know how to explain it other than 70% of 30 is 21 so that means that 30% of the students turned their essay in on time.
(sorry for not being able to explain it but I hope it helped)
Larger negative numbers are less than, if you picture a number line.
<.......-83 ............-38........0........+38..........>
-83 < -38
The canyon is deeper or has a lower elevation than the scuba diving location.
OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
