The correct answer is letter C, (3,5)
When you substitute this ordered pair on the equations, you would found out that it is the correct one
the answer is t<-48
i hope this helped you if you need the explanation lmk
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
In this problem, the slopes are given as follows:
- m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.
- m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.
The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
More can be learned about the slope of a line at brainly.com/question/12207360
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The numbers are 105 and 50
<em><u>Solution:</u></em>
Let "x" be the first number
Let "y' be the second number
Twice a number plus twice a second number is 310
Therefore,
twice of x + twice of y = 310
2x + 2y = 310 ---------- eqn 1
The difference between the numbers is 55
x - y = 55 -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 2,
x = 55 + y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 1</u></em>
2(55 + y) + 2y = 310
110 + 2y + 2y = 310
4y = 310 - 110
4y = 200
<h3>y = 50</h3>
<em><u>Substitute y = 50 in eqn 3</u></em>
x = 55 + 50
<h3>x = 105</h3>
Thus the numbers are 105 and 50