a. The equation that relates Ann's age (x) and Tom's age (y) is a line
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:
Substituting with m = 1 and the point (4, 8) into the general equation, we get:
8 = 1(4) + b
8 = 4 + b
8 - 4 = b
4 = b
Finally, the equation that compares Tom's and Ann's age is:
y = x + 4
b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:
y = 0 + 4
y = 4
then, the point (0, 4) is on the line. And we can also use the point (4,8)
The 5x5 square grid has 6 , 2 x 2 subgrids and the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12.
<h3>What is a Square ?</h3>
A square is a polygon with four sides and all the sides are equal and parallel and all the angle value is 90 degree.
(a) The 5x5 square grid has 6 , 2 x 2 subgrids.
(b) the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12
as it can be understood from the figure 2 that only the last square doesn't have a pair and the rest all does
more than that will be extra but 12 will be enough to make all the grey squares of 2 x 2 subgrid .
To know more about Square
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The slope wouldn't change, but the y-intercept would become 3 because you add -3 to 6
Answer:
x= -8 , x=5
Step-by-step explanation:
2x^2+6x-80=0
x^2+3x-40=0
look for 2 numbers that their:
sum = 3
product = -40
(x+8)(x-5)=0
thus
x= -8 , x=5 (ANS)
