Mr. Haley is leaning a ladder against the side of his house to repair the roof.

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Answer:

20 feet

Step-by-step explanation:

Remember the Pythagorean theorem,

x^2 + y^2 = n^2

in this case

x= 16

y = 12

so substitute back into the equation

16^2 + 12^2 = n^2

256 + 144 = n^2

400 = n^2

sqrt ( 400) = n

20 = n

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What is the equation of the graph below?

IgorC [24]

ANSWER

$f(x) = (x + 3)^{2} - 1$

EXPLANATION

The vertex of the graph is at

$(-3,-1)$

The equation of the graph in vertex form is given by the formula,

$f(x) = a{(x - h)}^{2} + k$

The above graph has a minimum point, hence
$a > \: 0$

When we put these values into the equation we obtain,

$f(x) = a(x - - 3)^{2} + - 1$

This implies that,

$f(x) = a(x + 3)^{2} - 1$

The point (-2,0) lies on the line.

$a( - 2 + 3)^{2} - 1 = 0$

$a = 1$

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The correct answer is D.

6 0

3 years ago

The graph of a proportional relationship contains the point (20, 4).

soldier1979 [14.2K]

Answer:

$y=\frac{1}{5}x$