How to graph polygons on a coordinate plane

Answers

Answer 1

Answer: Graph the vertices (the points) of the polygon, then connect them using straight lines.

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3/8x 5/7= 15/56?

Answers

That is the simplest form as possible. Because 15 can only be divisible by 5 and 3 but 3 and 5 don't go into 56

I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!***The answer is 1 and -0.5, but I just can't figure out how to work it out.***

Answers

$(4)/(2x-1)-(2)/(x)=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq(1)/(2)\ \wedge\ x\neq0\n\n(4)/(2x-1)=2+(2)/(x)\n\n(4)/(2x-1)=(2x)/(x)+(2)/(x)\n\n(4)/(2x-1)=(2x+2)/(x)\n\ncross\ multiply\n\n(2x-1)(2x+2)=4x\n4x^2+4x-2x-2-4x=0\n4x^2-2x-2=0\n4x^2-4x+2x-2=0$

$4x(x-1)+2(x-1)=0\n(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\nx=1\in D\ \vee\ x=-(1)/(2)\in D\n\nSolutions:x=-(1)/(2)\ or\ x=1.$

Convert to vertex form.
y=2x^2+14x-4

Answers

$y=2x^2+14x-4\n\na=2;\ b=14;\ c=-4\n\nvertex\ form:y=a(x-h)^2+k\n\nwhere:h=(-b)/(2a)\ and\ k=(-(b^2-4ac))/(4a)\n\nh=-(-14)/(2\cdot2)=-(7)/(2)\n\nk=(-(14^2-4\cdot2\cdot(-4)))/(4\cdot2)=(-(196+32))/(8)=(-228)/(8)=-(57)/(2)\n\n\nAnswer:y=2(x+(7)/(2))^2-(57)/(2)$

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \n \nform \ y = a(x - h)^2 + k \n \n Here \ the \ point \ (h, k) \ is \ called \ as \ vertex \n \n h=(-b)/(2a) , \ \ \ \ k= c - (b^2)/(4a)$

$y=2x^2+14x-4 \n \na=2 ,\ b=14 , \ c=-4 \n \n h=(-14)/(2*2)=-(14)/(4)=-3.5 \n \nk= -4 - (14^2)/(4\cdot 2)=-4-(196)/(8)=-4-24.5=-28.5 \n \n y=2(x+3.5)^2 -28.5$

What is the number between 1026 and 1254