Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation: 
Solving for y:
because
or 
So on interchanging the variable, we get the equation:
The value is -13. hope it will help you
Answer:
y=2/9x-1/3
Step-by-step explanation:
since line h is parallel to line g, this means that line h has the same slope as line g.
line h's slope would be 2/9.
to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:
y=2/9x+b
-1=2/9(-3)+b
Then, solve for b:
-1=2/9(-3)+b
-1=-6/9+b
b=-1/3
so, the equation for line g is: y=2/9x-1/3
Answer:
A
Step-by-step explanation:
The diagram shows two parallel lines XY and WV.
1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.
2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.
AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
So,
by AA similarity
Answer:
The percentage change each year is 2%
Step-by-step explanation:
Generally, we can have an exponential equation written as;
f(t) = I( 1 + r)^t
where f(t) is the value at a certain time
I is the initial value at t = 0
r is the growth rate
t is the time we are looking at
Thus, we have it that;
1.02 = 1 + r
r = 1.02 -1
r = 0.02
So, let us write 0.02 as a percentage
We have this as 2/100 which is the same as 2%
The percentage change each year is 2%