Answer:
x--------------y
4--------------2
8--------------3
12-------------4
Step-by-step explanation:
y = 1/4x + 1
We substitute the values under x into the equation
Equation 1: y = 1/4(4) + 1
Equation 2: y = 1/4(8) + 1
Equation 3: y = 1/4 (12) + 1
Let's solve for equation 1:
Equation 1: y = 1/4(4) + 1
y = 1/4(4) + 1
Multiply number in parenthesis
y = 1/4 * 4/1 + 1
1/4 and 4/1 turn into 1
y = 1 + 1
Add 1 to 1
y = 2
Let's solve for equation 2:
y = 1/4(8) + 1
Multiply number in parenthesis
y = 1/4 * 8/1 + 1
1/4 and 8/1 turn into 2
y = 2 + 1
Add 2 to 1
y = 3
Let's solve for equation 3:
y = 1/4 (12) + 1
Multiply number in parenthesis
y = 1/4 * 12/1 + 1
1/4 and 12/1 turn into 3
y = 3 + 1
Add 3 to 1
y = 4
So the table of values would be:
x--------------y
4--------------2
8--------------3
12-------------4
look at the graph
The square root of 100 is 10. Which is a whole number and whole numbers are rational numbers.
Answer: 2 locations.
Step-by-step explanation:
This segment will be the hypotenuse, now, if we find the exact middle of this segment and we draw a line that cuts perpendicularly the segment by the middle, then we can put a point in any point of that line (except in the segment because this will make a degenerate triangle). Then we connect both extremes of the segment with that point, and for how we find it, we know that these new lines will have the same lenght, so this will be an isosceles triangle.
Now, if we want that the triangle is also a right triangle, then the angle between the new sides must be 90°, if we put the point near the segment, the angle will be larger than 90°, and if we put it really far away, the angle will be smaller than 90°. So for each side of this line, we have only one point where the angle is exactly 90°.
this means that we have 2 locations that can create a non-degenerate isosceles right triangle.
