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1 year ago

The two polygons are similar. Find the values of x and y.

Mathematics

1 answer:

bazaltina [42]1 year ago

8 0

Answer: $x=11, y=9$

Step-by-step explanation:

Corresponding sides of similar figures are proportional, so:

$\frac{x-2}{6}=\frac{15}{10}\\\\\frac{x-2}{6}=\frac{3}{2}\\\\x-2=9\\\\x=11$

$\frac{y+3}{8}=\frac{15}{10}\\\\\frac{y+3}{8}=\frac{3}{2}\\\\y+3=12\\\\y=9$

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Step-by-step explanation:

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2 years ago

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2 years ago

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2 years ago

The revenue R you receive for selling pizza slices depends on the price p that you charge per slice and is modeled by R =-16p

sp2606 [1]

Answer:

$p \geq 0$

Step-by-step explanation:

Given

$R(p) = -16p^2 + 80p + 5$

Required

Determine the domain of the function

To do this, we need to solve for the vertex, p of the function

$p= \frac{-b}{2a}$

Given the the general form of a quadratic function is:

$y = ax^2 + bx + c$

By comparison, we have:

$a = -16$ $b =80$ $c = 5$

So:

$p= \frac{-b}{2a}$

$p = \frac{-80}{-16 * 5}$

$p = \frac{-80}{-80}$

$p = 1$

Substitute 1 for p in $R(p) = -16p^2 + 80p + 5$

$R(1) = -16(1)^2 + 80(1) + 5$

$R(1) = -16 + 80 + 5$

$R(1) = 69$

This implies that

$(p, R) = (1,69)$

The interpretation of this is that;

<em>For every value of p, there's a corresponding value of R.</em>

<em>However, because p indicates price and it's impossible to have a negative price, we can say that the minimum value of p is 0;</em>

Hence, the domain is

$p \geq 0$

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2 years ago