Answer:
<h2>500 plants</h2>
Step-by-step explanation:
Step one:
given that the number of plants the farmer has is 2000
for him to plant in equal rows and column he needs an amount of plant the is a perfect square.
The closest number to a perfect square is 2500
Step two:
From the above figure which is 2500 plants, the farmer is able to plant 50 rows and 50 columns.
multiplying these values together will amount to 2500
Hence the farmer needs at least 500 plants to achieve this
<h3>
Answer: A) Parallel </h3>
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Explanation:
I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.
Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-3-5)/(-1-(-3))
m = (-3-5)/(-1+3)
m = -8/2
m = -4
The slope of line AB, aka line m, is -4.
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Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-3-5)/(3-1)
m = -8/2
m = -4
The slope of line CD, aka line k, is -4
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Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.
Answer: 2008
Step-by-step explanation:
Given : The gross federal debt y (in trillions of dollars) for a certain country in year x is approximated by the equation
, where x is the number of years after 2000.
To find the year in which the federal debt will be $10.68 trillion, we substitute y= 10.68 in the above equation , we get
The required year will be = 2000+8=2008.
Hence, in 2008 the federal debt will be $10.68 trillion.
Answer:
y > x + 1 ; y ≤ 10 ; x ≥ 0
Step-by-step explanation:
First, we need to get the equation of the straight line. The equation of the straight line is expressed as y = mx+c
m is the slope
c is the y-intercept
Using the coordinate points (0, 1) and (1,2)
m = (2-1)/(1-0)
m = 1/1 = 1
y-intercept c = 1 (the point where the line cuts the y-axis)
Substitute;
Since y = mx+c, then y = 1x + 1
y = x+1
Since the line is a broken line and shaded above, then y > x+1
Also, the point shaded on the graph indicates y ≤ 10 ; x ≥ 0
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.