1) Fill in the blanks To sketch the graph of a quadratic function, plot some points and connect them. The graph will be in the
shape of a(n) _______

1) Fill in the blanks

To sketch the graph of a quadratic function, plot some points and connect t

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Ответ:

AjTruu2880

11.07.2022

Mathematics

the coordinates of m(a,b) are: $(a,b)=(\frac{51}{6},\frac{13}{6})$

step-by-step explanation:

the formula to find coordinates of point m(a,b) given the points x(x₁,y₁) and y(x₂,y₂) is:

$(a,b)=(\frac{m*x_{2}+n*x_{1}}{m+n},\frac{m*y_{2}+n*y_{1}}{m+n})$

where x₁,y₁ are coordinates of x and x₂,y₂ are coordinates of y

now putting the values and finding a and b

m=5, n=1 and x₁=1 ,y₁=-2 and x₂=10 and y₂=3

$(a,b)=(\frac{m*x_{2}+n*x_{1}}{m+n},\frac{m*y_{2}+n*y_{1}}{m+n})\\(a,b)=(\frac{5*10+1*1}{5+1},\frac{5*3+1*-2}{5+1})\\(a,b)=(\frac{50+1}{5+1},\frac{15-2}{5+1})\\(a,b)=(\frac{51}{6},\frac{13}{6})$

so, the coordinates of m(a,b) are: $(a,b)=(\frac{51}{6},\frac{13}{6})$

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1) Fill in the blanks To sketch the graph of a quadratic function, plot some points and connect them. The graph will be in the shape of a(n) _______