Answer:
Step-by-step explanation
First, let's remember the equation for point-slope form and how to find the 'm' value:

Now plug your m value and (x1, y1) into point-slope form:

Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!
Answer:
(x, y ) = (
,
)
Step-by-step explanation:
given the 2 equations
4x + 2y = 7 → (1)
y = 5x → (2)
Substitute y = 5x into equation (1)
4x + 2(5x) = 7
4x + 10x = 7
14x = 7 ( divide both sides by 14 )
x =
= 
substitute this value into equation (2)
y = 5 ×
= 
(2x^2+13x+15)/2x+3=x+5
Use long or synthetic division to solve this problem.
It looks like the scale is balanced so that means you can set one side equal to the other which leaves you with the equation x+(-10)=-16
To get x by itself add x to each side to get x=-6
X=-6 is your answer