Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)
m = 
= 
= - 1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1), then
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - x + 5 ← equation of line
The formula for the area of a trapezoid is
A = (1/2)(b₁ +b₂)h
Substitute the given information and evaluate. (Make sure all dimensions have the same units.)
A = (1/2)(12 ft +5 ft)(8 ft)
A = 68 ft²
The area of the trapezoid is 68 square feet.
<span>The second is: You need to arrange nine of your. ... The second is: You need to arrange nine ofyour favorite books along a small shelf. Applying the fundamental of counting principle, How many different ways can you arrange the books, assuming that the order of the books makes a difference to you.</span><span>
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In order for the mode to be 6, there must be more of them than any other number. In order for the mean to be 3.5, most of the distribution must lie at 3 or below to balance the large number of 6s. For the median to be 3, there must be as many scores at or above 3 as at or below 3. Thus, we choose to have most of the distribution with values 1, 2, 3 and only enough 6s to make that be the mode.
