The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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The answer is C good luck
DE/2 = 30.5
CE=30.5
DC=30.5
3x + 5 = 30.5
3x = 30.5 - 5
3x = 25.5
25.5/3 =8.5
x=8.5
Answer:
B.
and
Step-by-step explanation:
The expression given is:

Like terms are terms in which their variables and the power of the variables (exponents) are the same.
While it is not necessary that the coefficient of the variables are the same, the power of the variables must be the same.
In that case, the like terms in the expression given are
and
.
Note: The question says
but the option has
.
In case its actually
instead of
, then,
is also a like term and the answer will be D.
For this case, the first thing we must do is define variables.
We have then:
x: governor of a state gains
y: governor of b state earnings
We now write the system of equations that models the problem.
We have then:

Solving the system of equations we have:

Then, for x:
Answer: governor of a state earns $ 170395
governor of b state earns $ 115770