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2 years ago

Can someone help me with the first question please

Mathematics

1 answer:

snow_lady [41]2 years ago

3 0

Answer:

Step-by-step explanation:

The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.

<h3>Midpoint</h3>

The midpoint of XZ is the average of the coordinates of X and Z.

M = (X +Z)/2

M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)

<h3>Line through two points</h3>

The slope of the median can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

The slope of line YM is ...

m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line with slope 17/5 through point Y(7, 4) is ...

y -4 = 17/5(x -7)

Subtracting the right side, and multiplying by 5 gives ...

5(y -4) -17(x -7) = 0

5y -17x +99 = 0 . . . . equation of the median through Y

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Molodets [167]

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3 years ago

Determine the greatest common factor of the following expressions<br> (4x2y2, 3xy4, 2xy2

SashulF [63]

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3 years ago

Which of the following best describes the equation below?

DanielleElmas [232]

Answer:

Step-by-step explanation:

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2 years ago

Could someone give me an answer and explain how you got it ?

tankabanditka [31]

Answer:

A (9, 3)

Step-by-step explanation:

First the point is rotated 90° counterclockwise about the origin. To do that transformation: (x, y) → (-y, x).

So S(-3, -5) becomes S'(5, -3).

Next, the point is translated +4 units in the x direction and +6 units in the y direction.

So S'(5, -3) becomes S"(9, 3).

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3 years ago

please help me to solve this word problems leading to quadratic equation: A girl is 6 years younger than her brother. the produc

vova2212 [387]

Answer:

Brother is 70.5 and sister is 64.5

Step-by-step explanation:

you will need to set up a simple equation and give out variables.

Girls age = 6-x

Brother's age= x

the you will take those 2 and add them and place them equal to 135:

6-x+x=135

6-2x+6=135+6

The 6 cancels out

2x=141

2x/2=141/2

x=70.5

The brother's age would be 70.5 then and the girl's would be 64.5

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3 years ago