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3 years ago

Need help with question 1 and 2 PLEASEEEE

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer:

P, M, N and C are coplanar, because they are on the same plane.

Noncollinear, because they are not on the same line.

Hope this helps :)

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Please give an explanation or show your work!

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1.) The Difference between seven times one number and three times a second number is 25. The sum of twice the first and five tim

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3 years ago

The endpoints of a

Zolol [24]

Answer:

2nd option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

the centre is at the midpoint of the endpoints of the diameter.

The coordinates of the centre is the average of the coordinates of the endpoints.

centre = ( $\frac{-4+2}{2}$ , $\frac{7-1}{2}$ ) = ( $\frac{-2}{2}$ , $\frac{6}{2}$ ) = (- 1, 3 )

the radius is the distance from the centre to either of the endpoints

using the distance formula to calculate r

r = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2$

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )

r = $\sqrt{(2-(-1))^2+(-1-3)^2}$

= $\sqrt{(2+1)^2+(-4)^2}$

= $\sqrt{3^2+16}$

= $\sqrt{9+16}$

= $\sqrt{25}$

= 5

then equation of circle is

(x - (- 1) )² + (y - 3)² = 5² , that is

(x + 1)² + (y - 3)² = 25

6 0

3 years ago