Perpendicular lines have slopes that multiply to -1
get into y=mx+b form
minus 15x both sides and divide by -5
y=3x-7/5
slope is 3
3 times what=-1?
what=-1/3
so the slope is -1/3
so
y=-1/3x+b
we use the point (0,-4)
x=0 and y=-4
-4=-1/3(0)+b
-4=b
y=(-1/3)x-4 is da equation
Answer: y = 32,000(1.08)^c
Step-by-step explanation:
Given that the initial population
P = 32000
t = 1 year
R = 8%
Y = 34,560
To predict y the number of people living in town after x years
t = x
Y = P(1 + 8%)^t
Y = 32000( 1.08)^x
Step-by-step explanation:
This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)
Others reason why Why?
Line m is perpendicular to Line c.
B and E are equidistant from c that BC=CE.
Why the others are wrong.
While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.
A translation doesnt occur about a line.
A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.
Answer:
22.8906 sq in
Step-by-step explanation:
SA of a sphere = 4 π 
r = 2.7 / 2 = 1.35
4 x 3.14 x
= 22.8906
Answer:
The solutions are x = -1/2 and x = 1/2
Step-by-step explanation:
(2+4x)(2-4x)
We can use the zero product property to solve this
(2+4x)(2-4x)=0
The we set each term = 0
2+4x =0 2-4x =0
Subtract 2 from each side
2-2+4x = 0-2 2-2-4x = 0-2
4x = -2 -4x = -2
The divide the left equation by 4 and the right equation by -4
4x/4 = -2/4 -4x/-4 = -2/-4
x = -1/2 x = 1/2
The solutions are x = -1/2 and x = 1/2