8z − 4 = 7z
move 8z to the other side
sign changes from +8z to -8z
8z-8z-4=7z-8z
-4= 7z-8z
-4= -z
mutiply both sides by -1 to get +z
(-4)(-1)= (-z)(-1)
Answer:
z= 4
Answer:
With this form, we can tell that the x intercepts are x=6 and x=-2. So the x coordinate of the vertex is 2
Step-by-step explanation:
Answer:
11).
= 90°
12).
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since,
= 180°
and 
Therefore,
= 180°
32° +
+ 58° = 180°
= 180° - 90°
= 90°
12. Since,
= 32°
= 
= 180° + 32°
= 212°
Answer:
-3
Step-by-step explanation:
We are given equations as

Firstly, we will write in slope intercept form of line
y=mx+b

Subtract both sides by 4x


now, we can divide both sides by a

we can find slope
so, we get

we are given second equation as

Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a

we can find slope

we are given both lines are perpendicular
so, the multiplication of their slopes must be -1

we can plug values

now, we can solve for a

Multiply both sides by a


now, we can solve for a
we get
...............Answer