Answer:
(2, -1)
Step-by-step explanation:
We can add the first equation by the second
(4x + 6y = 2)+(-4x + 4y = -12)=
10y=-10
we divide both sides by 10 to get
y=-1
We plug -1 in the second equation to get:
-4x+4(-1)=-12
-4x-4=-12
-4x=-8
Now, we divide both sides by -4
x=2
Hope this helps!
Answer: Angle HAB= 66 and Angle CAB= 44
Step-by-step explanation:
Since angle EAF=90 and FAD=20 then DAH must equal 70 degrees because it is 180 degree angle. Since DAH and EAC are vertical angles they are equal so EAC = DAH= 70 degrees. For the other side of 180 degrees then 70+5x=180
5x=110
x=22
CAB= 2(22)= 44 degrees
HAB= 3(22)=66 degrees
Answer: y = -2x + 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1, that is , if
is the slope of the first line and
is the slope of the second line , if the two lines are perpendicular , then 
= -1
The equation of the line given :
y = 1/2x - 1
comparing with the equation of line in slope intercept form
y = mx + c , where m is the slope and c is the y - intercept , it implies that
= 1/2
Therefore :
= -2
To find the equation of the line with slope -2 and passes through the point ( 3 , 4 ) we will use the formula
= m (
)
y - 4 = -2 ( x - 3 )
y - 4 = -2x + 6
y = -2x + 6 + 4
y = -2x + 10