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3 years ago

Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

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

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

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What is the answer to this math equation(x+5)(x²-3x)

Nikolay [14]

Answer:

$x=-5\\x=0\\x=3$

Step-by-step explanation:

I assume your equation to solve is

$(x+5)(x^2-3x)=0$

When we have a product of two factors equal to zero,

$A\cdot B = 0$

The solution is either A = 0 or B = 0.

In this case, this means that we can break the equation into two equations:

$x+5=0\\x^2-3x=0$

Solving the first one, we get:

$x+5=0 \rightarrow x = -5$

For the second one, we rewrite it as:

$x^2-3x=0\\x(x-3)=0$

And we see that this equation has two solutions:

$x=0\\x=3$

Therefore, the three solutions are:

$x=-5\\x=0\\x=3$

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