Answer:
X= 18; Y=15
Step-by-step explanation:
As a student myself working this out I cannot explain how I got the answer but I know it is correct.
1. The area of the full rectangle is 21 * 28 = 588. We will need this later.
Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.
Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.
Now we do the full area of 588 minus the area of the missing triangle piece.
588 - 63 = 525 ft²
2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.
105 + 7 = 112 in²
Answer:
equation for line: y = 5/3x -7/3
Step-by-step explanation:
The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.
Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:
(2,1) x=2,y=1
1 = 5/3*2 + c
1 = 10/3 + c
1 - 10/3 = c
3/3 - 10/3 = c
-7/3 = c
The final eqaution of the line is: y = 5/3x -7/3
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)
