Answer:
w² +9w +20
Step-by-step explanation:
Multiply it out, collect terms, and write as descending powers of w.
(5+w)(w+4) = 5w +5·4 +w² +w·4
= w² +9w +20
You must connect all the letters to create the shape of a trapezoid
Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is 
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is 
)
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is 
)
Then the function is:
-- The graph looks like a line that passes through the origin,
and slopes up to the right at a 45-degree angle.
-- Point #1 on the line:
. . . . . Pick any number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
-- Point #2 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
-- Point #3 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
Rinse and repeat, as many times as you like,
until the novelty wears off and you lose interest.
Answer:
The equation of the line would be y = 1/5x + 8
Step-by-step explanation:
Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.
Now we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 9 = 1/5(x - 5)
y - 9 = 1/5x - 1
y = 1/5x + 8
