Answer:
the line through the points negative 6 comma 0 and 0 comma negative 2
Step-by-step explanation:
Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.
3x + 9y = -18 --- divide everything by 3.
x + 3y = -6
3y = -6 - x
y = -2 - 1/3x
your slope is -1/3 and your y intercept is - 2.
remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.
write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.
Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
The choices are found elsewhere and the figures would be:
a. rectangleb. trianglec. squared. trapezoid
From the choices, the answer would be option B. A triangle figure would be the cross section when <span>a rectangular pyramid that has been intersected by a plane perpendicular to its base and through</span>its vertex.
Answer:
640
Step-by-step explanation:
you just divide
Answer:
Z=92
Step-by-step explanation:
Distribute, 9z-738=90
Add 738, 9z=828
Divide, z=92
