Answer:
450 m^2
Step-by-step explanation:
let the length be y m (the single side)
let the width be x m
so according to the question
2x + y = 60
or, y = 60 - 2x
now, Area = xy
= x(60-2x)
= -2x^2 + 60x
d(Area)/dx = -4x + 60
= 0 for a max of area
-4x + 60 = 0
x = 15
then y = 30
the width has to be 15 m, and the length has to be 30 m for a maximum area of 15(30) or 450 m^2.
<h3>
Answer: RJ = 10</h3>
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Explanation:
Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.
So,
GJ = 2*PQ
Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ
Or in short,
GJ = 2*RJ
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In summary we can see that
equating both right hand sides leads to
2RJ = 2PQ
RJ = PQ
Because PQ is 10 units, this means RJ is also 10 units.
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Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.
Answer:
Step-by-step explanation:
6c + 5
term : 6c and 5....coefficient : 6......constant : 5
a coefficient is the number multiplied by the variable (the letter)....a constant is just a number with no variables (letters)
Answer:
Step-by-step explanation:
F=(9/5) C +32 has the form of the equation of a straight line: y = mx + b, where m is the slope and b is the y-intercept. By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).
To graph this, first locate the y-intercept (0, 32); put a dark dot there. Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward. Plot another dark dot there and then draw a straight line through these two points.
We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15: F = (9/5)(15) + 32, or F = 59.
