Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
-2/3 negated is
2/3
The reciprocal (flip the numerator and denominator) of 2/3 is
3/2
So, the lines are perpendicular
Hope this helps! :)
0.542=0.500 + 0.040+0.002
= 
=5 tenth + 4 hundredths + two thousandths
One tenth = 
One Hundredth= 
One thousandth= 
Answer:
Step-by-step explanation:
You have to use the triangle inequality theorem:
12cm, 4cm, xcm
x > 4cm - 12cm
x > -8cm
x < 12cm - 4cm
x < 8cm
-8cm < x < 8cm
Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so

The value of k is greater than -2/5
Analyze the y-intercept

1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
Answer:
#1 is -9
#2 is 3
Step-by-step explanation:
-9x3 is -27 then add 10 to that you get -17
5x3 is 15 then subtract 1 and you get 14