Answer:
Step-by-step explanation:
Completing the square gives
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Let us assume the small integer to be = x
Then
The second consecutive greater integer = x + 1
The sum of two consecutive integers is already given in the question and it is 125. based on this given information, the answer to the question can be easily reached.
So
x + x+ 1 = 125
2x + 1 = 125
2x = 125 - 1
2x = 124
x = 124/2
= 62
Then
The largest of the two integers = x + 1
= 62 + 1
= 63
So 63 is the largest integer among the two consecutive integers. I hope the procedure is not very tough for you to understand.
Y can be found by setting the 3 angles in the bottom triangle equal to 180 degrees like so:
45 + 55 + y = 180
100 + y = 180 (Simplify)
y = 80 (Subtract 100 from both sides)
Angles x and y are opposite angles, so they are equal to each other. This means that x = 80 degrees also.
For a line to be perpendicular to the x-axis in a 2 dimensional space, it must be composed of points with the same x coordinate and varying in the y coordinate.
X is, therefore, a constant and since the line goes through (-3,1), the equation we are looking for is:
X = -3
