Answer:
1.25 pounds.
Step-by-step explanation:
There are 16 ounces in 1 pound.
Divide the 20 by 16 to get 1.25 :-)
37 degrees Ill explain in a second but thats it!
Answer:
x = -9
x = 2
Step-by-step explanation:
Given:
![\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{x^2+5x+6}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7Bx%2B3%7D-%5Cdfrac%7B8%7D%7Bx%2B2%7D%3D%5Cdfrac%7B-13x-6%7D%7Bx%5E2%2B5x%2B6%7D)
First, note that
![x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=(x+2)(x+3)](https://tex.z-dn.net/?f=x%5E2%2B5x%2B6%3Dx%5E2%2B2x%2B3x%2B6%3Dx%28x%2B2%29%2B3%28x%2B2%29%3D%28x%2B2%29%28x%2B3%29)
Since
and
stay in the denominator, then
![x\neq -2\ \text{and}\ x\neq -3](https://tex.z-dn.net/?f=x%5Cneq%20-2%5C%20%5Ctext%7Band%7D%5C%20x%5Cneq%20-3)
Now add two fractions which stay in the left part. The common denominator is
so multiply the numerator of the first fraction by
and the numerator of the second fraction by
and subtract them in the numerator:
![\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\\dfrac{x(x+2)-8(x+3)}{(x+2)(x+3)}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\x(x+2)-8(x+3)=-13x-6\\ \\x^2+2x-8x-24=-13x-6\\ \\x^2+2x-8x+13x-24+6=0\\ \\x^2+7x-18=0\\ \\x^2+9x-2x-18=0\\ \\x(x+9)-2(x+9)=0\\ \\(x+9)(x-2)=0\\ \\x+9=0\ \text{or}\ x-2=0\\ \\x=-9\ \text{or}\ x=2](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7Bx%2B3%7D-%5Cdfrac%7B8%7D%7Bx%2B2%7D%3D%5Cdfrac%7B-13x-6%7D%7B%28x%2B2%29%28x%2B3%29%7D%5C%5C%20%5C%5C%5Cdfrac%7Bx%28x%2B2%29-8%28x%2B3%29%7D%7B%28x%2B2%29%28x%2B3%29%7D%3D%5Cdfrac%7B-13x-6%7D%7B%28x%2B2%29%28x%2B3%29%7D%5C%5C%20%5C%5Cx%28x%2B2%29-8%28x%2B3%29%3D-13x-6%5C%5C%20%5C%5Cx%5E2%2B2x-8x-24%3D-13x-6%5C%5C%20%5C%5Cx%5E2%2B2x-8x%2B13x-24%2B6%3D0%5C%5C%20%5C%5Cx%5E2%2B7x-18%3D0%5C%5C%20%5C%5Cx%5E2%2B9x-2x-18%3D0%5C%5C%20%5C%5Cx%28x%2B9%29-2%28x%2B9%29%3D0%5C%5C%20%5C%5C%28x%2B9%29%28x-2%29%3D0%5C%5C%20%5C%5Cx%2B9%3D0%5C%20%5Ctext%7Bor%7D%5C%20x-2%3D0%5C%5C%20%5C%5Cx%3D-9%5C%20%5Ctext%7Bor%7D%5C%20x%3D2)
Answer:
D; x=10
Step-by-step explanation:
c = √a2 + b2
= √62 + 82
= √100
= 10
Answer: positive
Step-by-step explanation: because it is going up from the left to the right