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kirza4 [7]
2 years ago
12

Instructions: Simplify the algebraic expression:

d="TexFormula1" title="-\frac{1}{2} (32x-10y)" alt="-\frac{1}{2} (32x-10y)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
QveST [7]2 years ago
4 0
-1/2*32x=16x
-1/2*-10y=5y
-16x+5y
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The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde
Elenna [48]
Assume that
 a and b = the two legs of the right triangle. 
 c =  the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500               (1)

The perimeter is 150yd, therefore
a + b + c = 150         (2)

Let the side fenced with wood be a, at $5/yd.  Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
 5a + 10b + 10c = 1200            
or
a + 2b + 2c = 240         (3)

From (2), obtain 
c = 150 - a - b              (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B.  The length of the leg fenced with steel is 25 yd.


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4 years ago
Integers are _____ rational numbers.
mr_godi [17]
The answer would be irrational
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4 years ago
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A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)
rewona [7]

Answer:

y - 5 = \frac{3}{2}(x - 1)

Step-by-step explanation:

Note that \frac{dy}{dx} = m_{tangent}

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\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x\sqrt{x} = x. x^{\frac{1}{2} } = x^{\frac{3}{2} }, then

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y - b = m(x - a)

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Here m = \frac{3}{2} and (a, b) = (1, 5), thus

y - 5 = \frac{3}{2}(x - 1) ← equation of tangent

3 0
3 years ago
What is 1 7/16 as a decimal?
klasskru [66]

1.4375
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3 years ago
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Dell Tim and tommy ordered a pizza that was cut into 12 pieces dell had one piece Tim had 3 pieces and tommy had 4 pieces how mu
Studentka2010 [4]

Answer: they had 7/12 or 7 slices out of 12 slices

Step-by-step explanation:

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3 years ago
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