Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Answer:
Step-by-step explanation:
Use vertical angles to help solve the problem. Angles that are across from each other are congruent. For exmaple, <2 = 85 degrees because the angle across from it is 85 degrees. I assume angle 1 is 95 degrees, so angle 3 would also be 95 degrees.
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:

The mean of set of a is:



The mean of set of b is:



It is given that,
Mean of set a: mean of set b= 3:8




Isolate the variable x.


Divide both sides by 3.


Therefore, the value of x is 427.
I hope this helps you
-4x-2y+4x+8y= -12-24
6y= -36
y= -6
-4x-2. (-6)= -12
-4x+12= -12
-4x= -24
x=6
(6, -6)
Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line:
has a slope of
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is
, we see that the negative reciprocal slope is
, as
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form:
, where
is the point. In this case, (3, 1) is the point.
Thus, we have:
as our final equation.
Simplifying: 
And:
, which gives us the y-intercept to be 5.
Let me know if this helps!