Answer:
x = 9
Step-by-step explanation:
Sum of a triangle is 180°.
6x + 1 + 6x - 14 + 9x + 4 = 180°
Arrange the like terms together and simply this equation.
6x + 6x + 9x + 1 + 4 - 14 = 180°
21x - 9 = 180°
Shifting '-9' to the other side of the equation gives you '+9'
21x = 180° + 9
21x = 189
Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)
x = 189 ÷ 21
x = 9
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
C) 8 ft
Step-by-step explanation:
you use the pythagorean theorem to find the height.
a² + b² = c²
a = radius
b = height
c = slant height
15² + h² = 17²
h = 8
Answer:
a)
2(x+1) +3 (x+2)
2x +2 + 3x +6
5x + 8
b)
4(x+3) +2(x +7)
4x+12 + 2x +14
6x+26
c)
5(x+3) +2(x+7)
5x+15 +2x+14
7x +29
d)
8(x+10) +2(x+4)
8x+80 +2x+8
10x+88
Step-by-step explanation:
Answer:
100 is the answers for the question
Step-by-step explanation:
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