Answer:
The answers provided aren't reasonable for this graph.
Step-by-step explanation:
The graph's y-intercept is -2, since that is the point where the line intersects the y-axis. The slope is 3x, because the distance from one point to the next is 3 up, 1 right. So the equation for the graph is y = 3x - 2.
Answer:
x ≥ -2 2/3
Step-by-step explanation:
multiply each side by x-4, you get:
3x + 8 ≥ 0
3x ≥ -8
x ≥ -8/3
Answer:
18
Step-by-step explanation:
If TP = 7, then TO can be 7 or 11 to make the triangle isosceles.
If TP = 5, then TO can 5 or 11
Stop right there, though! Your logic is correct, but TO cannot be 5! Why? Triangles have certain properties that they must adhere to for a triangle to exist. One such theorem is called the triangle inequality theorem. It states that the sum of the lengths of two different sides is greater than the remaining third side.
The other side length possibilities adhere to this restriction, thankfully. Now, add 7 and 11. 7+11=18
Answer:
The slope-intercept form is y=-2x+16.
The LCM of 6 and 4 is 12. The LCM of 6 and 8 is 24. The LCM of 6 and 10 is 30.
To find the LCM, we find the prime factorization of each number.
6 = 2*3
4 = 2*2
They have a 2 in common, so this is one factor of the LCM. We then take the uncommon factors, 3 and 2, giving us
2*3*2 = 12.
6 = 2*3
8 = 2*2*2
LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.
6 = 3*2
10 = 5*2
LCM = 2 (in common) * 3 * 5 (uncommon) = 30.
