Answer: 6
Step-by-step explanation: okay. Here we go. This will be long.
You have to use the inverse operation. That means use the opposite operation. For example, the opposite operation of addition is subtraction. So let’s ignore the 3x for now. That means the equation is +2=20. The inverse operation of addition is subtraction. So we subtract 2 from 20. That equals 18. Then we subtract 2 from 2. That equals 0. Now our equation is =18. Now remember 3x? You bring that back in. So our equation is 3x=18. See what I did? I simplified the equation. 3x means “3 times x” because x is a variable. And the opposite of times (multiplication) is division. So you divide 3 from 18. That equals 6. And we divide 3 from 3x. That equals 1x. Ax is basically the same thing as x. So now what doe we have left? X= 6. Your answer is 6.
If you can write this out, it will read
(4/5)x-2>(3/10) times 2x
Now, lets combine what we can, and then add 2 to both sides,
((4/5)x>(3/5)x+2
Now divide both sides by (4/5), or multiply both sides by (5/4).
x>12x+(2 times (5/4))
Answer:
(8,9)
Step-by-step explanation:
Given
Required
Determine the 4th point
The coordinate point of a horizontal or a vertical rectangle is given as:
(x1,y1), (x2,y2), (x3,y3), (x4,y4)
Where:
So, we have:
--- 
---- 
---- 
Using the above equations:
Hence, the coordinate of the 4th point is:
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
