Well, you take the two denominators and find a number that both numbers match. So 3/4 (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, etc.) and 3/9 (9, 18, 27, 36, 45, 54, etc.). Now take the first number that matches both numbers (36) and ask yourself, 'what do I have to multiply to get that number?' Well, for 4 and 36, you multiply 4 and 9 to get 36, and for 9 and 36, you multiply 9 and 4 to get 36. Then you multiply the top number by the same one you did with the bottom one. So you add up the two numbers, and you have your answer (3/4: 4*9=36 3*9=27 27/36 39: 9*4= 36 3*4=12 12/36 Total=12+27= 39/36=1 3/36=1 1/12). The answer is 1 1/12!
The slope would be 0. Because the line would be flat if all of the y values equal 3, that means the slope = 0. If now x=9 or anything like that, that would be undefined,
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The lateral area of the prism is given by: LA=[area of the two triangles]+[area of the lateral rectangles] hypotenuse of the triangle will be given by Pythagorean: c^2=a^2+b^2 c^2=6^2+4^2 c^2=52 c=sqrt52 c=7.211' thus the lateral area will be: L.A=2[1/2*4*6]+[6*8]+[8*7.211] L.A=24+48+57.69 L.A=129.69 in^2
The total are will be given by: T.A=L.A+base area base area=length*width =4*8 =32 in^2 thus; T.A=32+129.69 T.A=161.69 in^2
