Answer:
The area and the perimeter of the square barn which has each side 9 meters long is 81 m² and 36 m.
Step-by-step explanation:
<h3>You should pick:</h3>
The relationship is linear because each y-value is 5 more than the one before it.
<h3>Here's why I think so:</h3>
If we look at the relationship between the x values and the y values, we can tell that they both increase periodically. The x values increase by 1('s), while the y values increase by 5('s).
Think about it. If y starts off at 5 when x is at 0, and then goes to 10 by x becomes 1, and increases another 5 values when x increases by 1 (again), then we are witnessing a pattern. For every 1 x value, y increases by another 5 values. Such a repetitive relationship will clearly be shown with a line. Thus, the relationship is a linear one.
Since we know that the relationship of the table is linear, and that it is linear due to the fact that the y-value continuously increase by 5's without fail, the only answer that would make sense is the second one.
<em>Therefore, the answer is '</em><u><em>The relationship is </em></u><u><em>linear </em></u><u><em>because each y-value is 5 more than the one before it.</em></u><em>'</em>
Answer:
<h2>
A(-2, 2) and B(6, 10)</h2>
Step-by-step explanation:
Given the equation of a line y = x + 4 and equation of a circle as
( x − 3 )² + ( y − 5 )² = 34, if the line and the circle intersect at points A and B, to get this points, we will substitute the equation of the line into that of the circle as shown;
We will have to expand the equation of the circle first before making the substitute.
( x − 3 )² + ( y − 5 )² = 34
x²-6x+9+y²-10y+25 = 34
x²+y²-6x+-10y+34-34 = 0
x²+y²-6x+-10y = 0
Substituting y = x+ 4 into the resulting expression;
x²+(x+4)²-6x+-10y = 0
x²+x²+8x+16-6x+-10(x+4) = 0
x²+x²+8x+16-6x+-10x-40 = 0
2x²-8x-24 = 0
x²-4x-12 = 0
(x²-6x)+(2x-12) = 0
x(x-6)+2(x-6) = 0
x+2 = 0 and x-6 = 0
x = -2 and 6
when x = -2;
y = -2+4
y = 2
when x = 6
y = 6+4
y = 10
The coordinates of the point of intersection are A(-2, 2) and B(6, 10).
