Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

4 0

2 years ago

The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

navik [9.2K]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
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\text{let the coordinate of th point C be (x, y), such that}\\
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AC:CB=3:7\\
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\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
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\text{So using this formula, we get for the given problem}\\
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C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
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\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
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\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
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\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

5 0

4 years ago

If the radius of a circle is 11 cm, what is the area of the circle?

andrey2020 [161]

A=πr^2
A=3.14(11^2)
A=3.14(121)
A=379.94 which is simplfied to 380

4 0

3 years ago

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