Answer:
it seems the answer has already been figured out
Step-by-step explanation:
To answer this question, you need to write a linear equation (because the graph is a visibly straight line) that models this situation, then plug in 12.
The general format for a linear equation is y=mx+b, where m is the slope and b is the y intercept. The y intercept of a line is where it crosses the y axis; for this line, it crosses the y axis at (0, 0) so the y intercept is 0.
To find the slope, use the slope equation: (y2-y1)/(x2-x1). For y1, y2, x1, and x2, just pick any two points on the line. We will use (1, 30) and (2, 60):
(60-30)/(2-1)
30/1
30
The line is y=30x.
Plug in 12 for x:
y=30(12)
y=360
3). 360
Hope this helps!!
the
complete question in the attached figure
<span>1. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 3 is 120 degrees, find the measure of angle 7.
</span>∡3=∡7------------- > <span>corresponding angles
the answer is </span>
∡7=120 degrees
<span>2. in the diagram below , lines a and b are parallel and cut by traversal, t of angle 2 is 50 degrees, find the measure of angle 8.
</span>∡2=∡8------------- > <span>alternate exterior angles
</span>
the answer is ∡8=50 degrees
<span>3. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 6 is 50 degrees, find the measure of angle 4.
</span>∡6=∡4------------- > <span>alternate interior angles
</span>
the answer is ∡4=50 degrees
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.