Answer:
Attachment is correct graph.
Step-by-step explanation:
We are given a equation of line y=|x|
It is absolute function which gives always positive value.
It's vertex at (0,0). This function will break at (0,0)
It is linear equality.
So, function is break at point x=0
Now we make tale of x and y
x y
-3 3
-2 2
-1 1
0 0
1 1
2 2
3 3
Now we plot the point on graph and join the points to get graph.
Please see the attachment for correct graph.
Where is the rest of the info
Answer:
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
we have the triangle EDF
where
<u><em>Applying the triangle inequality theorem</em></u>
1)
2)
so
The length of DF is the interval -----> (5,13)
The triangle DEF is a scalene triangle (the three length sides are different)
therefore
<em>The statements that are true are</em>
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Perpendicular lines will have negative reciprocal slopes. What that means is if u have a slope of 1/2, to find the negative reciprocal, flip the slope and change the sign.......flip 2/1, change the sign -2/1 or just -2. So the negative reciprocal for the slope of 1/2 is -2.
A. y = 1/5x + 3.....slope here is 1/5, so for a perpendicular line, u r gonna need an equation with the slope of -5.....and that would be : y + 3 = -5(x + 2).
B. Parallel lines will have the same slope. y = 5x - 2...the slope here is 5...so a parallel line will have a slope of 5.
y = mx + b
slope(m) = 5
(8,-2)...x = 8 and y = -2
now we sub, we r looking for b, the y intercept
-2 = 5(8) + b
-2 = 40 + b
-2 - 40 = b
-42 = b
so ur parallel equation is : y = 5x -42
22 True For all real Numbers A and B, A - B = -B + A
23 True For all real Numbers P, Q, and R, P - Q - R = P - R - Q
24) True For all real Numbers X, Y, Z and (X + Y ) + Z = Z + (X + Y)
25) False For all real Numbers M and N, M/M * N = N/N ==> Example: 5/5 * 3 ≠ 3/3 * 5
26) Examples:
Counterexamples =====> 5 - 0 = 5; 5/1 = 5
5 - 3 ≠ 3 - 5; (5 - 3 ) - 2 ≠ 5 - (3 - 2 );
6/3 ≠ 3/6; (24/6 )/2 ≠ 24/ (6/ 2 )
Hope that helps!!!! : )
