Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
Responder:
<em>a) 1
</em>
<em>b) 12
</em>
<em>c) 3
</em>
<em>d) -1 y 3
</em>
Explicación paso a paso:
Dadas las siguientes ecuaciones;
a) x²-x =0
x² = 0+x
x² = x
x = 1
b) -x²+12x = 0
-x² = -12x
x² = 12x
x = 12
c) 3x² - 9x = 0
Suma 9x a ambos lados
3x²-9x+9x = 0+9x
3x² = 9x
3x = 9
x = 9/3
x = 3
d) x²-2x-3 = 0
x²-3x+x-3 = 0
x(x-3)+1(x-3) = 0
(x+1)(x-3) = 0
x+1 = 0 y x-3 = 0
x = -1 y 3
A trum-pet ;) almost got me there
a) x = -2 y = -1 so (-2,-1)
