Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
To determine what the line looks like, simply change it to y = mx + b form. Then simply either make a table of values. And substitute any points into the equation and obtain points to plot on the graph. Or you can simply plot the graph by using the slope of the equation.
Y = 8 - 6x/2
Y = 4 - 3x
Y = -3x + 4.
This would be the rearranged equation.
Answer:
The absolute value graph below does not flip.
Step-by-step explanation:
New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.
The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.
"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.
"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.
"d" shows horizontal shifts left (positive number) or right (negative number).
"c" shows vertical shifts up (positive) or down (negative).
The function f(x)=2|x-9|+3 has these transformations from the parent graph:
a = 2; Vertical stretch by a factor of 2
k = 1; No change
d = 9; Horizontal shift right 9 units
c = 3; Vertical shift up 3 units
Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.
The sum of the interior angles of all triangles is 180 degrees. This is a right triangle, thus we know two interior angle values (90 degrees and 29 degrees). To find the third, set the sum of all interior angle values equal to 180 and solve for g.
180 = 90 + 29 + g
Collect like terms.
180 = 119 + g
Subtract 119 from both sides.
61 = g
Find the sum using 61 for g to check work.
180 = 90 + 29 + g
180 = 90 + 29 + 61
180 = 180
Answer:
m∠g = 61°
