Answer:
x = - 39/148
y = -6/37
Step-by-step explanation:
substitute the given value of y into the equation to get 8x-13 (12x+3)=0
solve for x to get x= - 39/148
substitute the given value of x into 12x+3=y
12 x (-39/148) + 3 = y
-6/37 = y
Answer:
10 feet
Step-by-step explanation:
pythagorean theorem
To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.
The relation in the bottom right corner is the only relation that passes the vertical line test.
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:

The perimeter is 96 feet:

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

We can solve for w by plugging the other two values into the last:

Now we can find the length by plugging w into the first equation:

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

So we know our answer's correct
Answer:
Step-by-step explanation:
Area of rectangle = length * width
= (3x + 2)(4x + 10)
= 3x *(4x + 10) + 2*(4x + 10)
= 3x *4x + 3x *10 + 2*4x + 2*10
= 12x² + <u>30x + 8x</u> + 20 {Combine like terms}
= 12x² + 38x + 20