To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).
y=3x-5 is already in SIF, so we only need to work on the other one.
x+3y=6
-x -x
3y=-x+6
/3 /3
y=-1/3x+2
Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.
When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.
Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.
Answer:
80,000 + 1.04 to the forth power
Step-by-step explanation:
First term is initial number
Second term is one plus the percent as a decimal (if it’s an increase)
Then to the power of 4 assuming that there are 4 year in between 2016 and this year, 2020
radius = (4*10^2 + 24^2)/8*10 =
(400 + 576)/80=
976/80 = 12.2
diameter = 12.2 x 2 = 24.4
Answer:
Equivalent expressions
A) 
C) 
Step-by-step explanation:
Given expression :

Choices given :
A) 
B) 
C) 
D) 
To find the equivalent expression.
We will first evaluate the given expression.

⇒
[Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A) 
⇒
[Quotient of a positive dividend and a negative divisor is always negative]
B) 
⇒ 
⇒ 
C) 
⇒
[Product of a positive and a negative is always a negative]
⇒ 
D) 
⇒
[Product of two negatives is always a positive]
⇒ 
∴ We see that the choices A and C are equivalent.