When you square or cube a negative number is it still negative or does it become positive?

1 answer:

6 0

When you square a negative number, the result is positive.
(-4)^2 = (-4)ª(-4) = 16

When you cube a negative number, the result is negative.
(-4)^3 = (-4)•(-4)•(-4) = -64

Negatives pair up and cancel out, so odd exponents always have one negative unpaired, making the result negative.

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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.

Viktor [21]

Let
x,y, and z the long sides of the triangle

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²

6 0

3 years ago

Which expression is equivalent to ? Assume

stepan [7]

Answer:

b/a

Step-by-step explanation:

Given,(b^-2)/a*(b^-3)

or,(b^-2+3)/a

or,b/a

7 0

2 years ago