Start by getting one of the equations in terms of one variable, in this case lets put the first equation in terms of y
2x+y=3 ---> y=3-2x
now we plug that into the second equation
5x-2y=12 ---> 5x-2(3-2x)=12
we can then multiply and simplify
5x-2(3-2x)=12 ---> 5x-6+4x=12 ---> 9x-6=12 ---> 9x=18 ---> x=2
we can now plug x=2 into an equation to solve for y
2(2)+y=3 ---> 4+y=3 ---> y=-1
So first let’s find the area of the rectangle. The formula for finding the area of a rectangle is A=l x w.
The length is 10ft and the width is 8ft.
A=10ft x 8ft=80ft^2
The area of the rectangle is 80ft^2.
Now let’s find the area of the triangle. The formula for finding the area of a triangle is A=h x b/2. Both the height and the base of the triangle is 4ft.
A=4ft x 4ft/2=8ft^2.
The area of the triangle is 8ft^2.
Now to find the area of the entire shape. Add the area of the rectangle and the area of the triangle.
80ft^2+8ft^2=88ft^2
The total area of the shape is 88ft^2.
Answer:
Step-by-step explanation:
y=mx+c
where m is the gradient and c is the y-intercept of the line
Let's find the gradient of the line first.
Using the above formula,
Subst. the gradient into m:
Now, find the value of c by substituting a coordinate into the above equation.
when x=-1, y=3,
Therefore the equation of the line is
Answer:
the color of the background
