Answer:
The initial height is the y-intercept of the graph
slope of the graph = -2
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly.
Step-by-step explanation:
Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2
So the slope of the graph = -2
by inspection, the y-intercept = 12
Therefore, the equation for the line is y = -2x + 12
Jordon interprets the only the slope correctly.
Aral interprets the only the initial height correctly
Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
The x-intercept is where the graph crosses the x-axis. that happens when y=0.
x + 2(0) = 5
x = 5
x-intercept is 5
2x + 2y = 20
2(6) + 2y = 20
12 + 2y = 20
2y = 8
y = 4
width = 4
Area = 6 × 4
= 24 cm
