Answer:
15.2 feet
Step-by-step explanation:
We use Pythagorean Theorem to find the height.
The hypotenuse of the formed triangle = length of ladder = 16 feet
base = 5 feet
let h = height of house
16 ^2 = 5^2 + h^2
256 = 25 + h^2
231 = h^2
h = root(231) = 15.1986 feet
Answer: y = -1x + 5
Step-by-step explanation:
1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)
(0 - 6)/ (5 -(-1))
2. Solve for slope
-6/6
= -1
3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line
(y -(-1)) = -1( x - 6)
4. Solve for y
y + 1 = -1x + 6 -----> y = -1x + 5
Answer:
the original population was 425
Step-by-step explanation:
From last place to first BART was last the it was DERRICK, ALLIE, and CHRIS and ELENA in first. I hope this helps you!
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***
f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
