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Triss [41]
3 years ago
12

Expand the exponents, simplify, then write the rule.

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

3) if base are same power are added

4) power is multiplied

5) in division, if base are equal power is subtracted

6) we can write whole power if two bases have same power

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The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Papessa [141]

Answer:

base(b)=10 and height(h)=6

Step-by-step explanation:

From the question,

base(b)=x feet

height(h)=(x-4) feet

Area(A)=30 square feet

Now,

We know,

Area of triangle(A)=1/2*b*h

or, 30=1/2*x*(x - 4)

or, 30=1/2*x^2 -4x

or, 30*2=x^2 -4x

or, 60=x^2 -4x

or, 0 = x^2 -4x -60

or, 0 = x^2 +6x - 10x -60

or, 0 = x(x + 6) -10(x + 6)

or, 0 = (x+6) (x-10)

Either,

x+6=0. or, x-10=0

or,x= -6. or, x= 10

Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet

Lastly,

Height(h)=X - 4

=10 - 4

=6 feet

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2 years ago
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do I have to??????????

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