Answer:![15*(x-3)^2*(x-5)](https://tex.z-dn.net/?f=15%2A%28x-3%29%5E2%2A%28x-5%29)
Step-by-step explanation:
![\dfrac{x^2-y^2}{x^2-8x+15}\ and\ \dfrac{y^2}{15(x^2-6x+9)} \\\\\\x^2-8x+15=x^2-3x-5x+15=x(x-3)-5(x-3)=(x-3)(x-5)\\\\15(x^2-6x+9)=15*(x-3)^2\\\\LCM (x^2-8x+15,15(x^2-6x+9)\\\\=LCM((x-3)(x-5),15(x-3)^2)\\\\\boxed{=15*(x-3)^2*(x-5)}\\](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-y%5E2%7D%7Bx%5E2-8x%2B15%7D%5C%20and%5C%20%5Cdfrac%7By%5E2%7D%7B15%28x%5E2-6x%2B9%29%7D%20%5C%5C%5C%5C%5C%5Cx%5E2-8x%2B15%3Dx%5E2-3x-5x%2B15%3Dx%28x-3%29-5%28x-3%29%3D%28x-3%29%28x-5%29%5C%5C%5C%5C15%28x%5E2-6x%2B9%29%3D15%2A%28x-3%29%5E2%5C%5C%5C%5CLCM%20%28x%5E2-8x%2B15%2C15%28x%5E2-6x%2B9%29%5C%5C%5C%5C%3DLCM%28%28x-3%29%28x-5%29%2C15%28x-3%29%5E2%29%5C%5C%5C%5C%5Cboxed%7B%3D15%2A%28x-3%29%5E2%2A%28x-5%29%7D%5C%5C)
Answer:
More distance ride by bike = 10 miles
Step-by-step explanation:
Distance cover by bike = 2/3 x 18
Distance cover by bike = 12 miles
Distance cover by walk = 2/5 x 5
Distance cover by walk = 2 miles
More distance ride by bike = Distance cover by bike - Distance cover by walk
More distance ride by bike = 12 miles - 2 miles
More distance ride by bike = 10 miles
Answer:
-7.5 x 10^1
Step-by-step explanation:
subtract numbers and exponents and make sure that number is between 1 and 10.
Answer:
<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE
90+5X-12+2X-3=180
7X=180-75
X=105/7=15
X=15°
again
in right angled triangle XYZ
<Y+<Z+<X=180
<y+90+2×15-3=180
[here diagonal of the rectangular bisect each at 90°]
<Y=180-117=63°
M<VWZ= <XYZ=63° alternate angle