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3 years ago

Find the slope of the line that passes through (66, 85) and (4, 21).

Mathematics

2 answers:

Grace [21]3 years ago

8 0

The right answer is 32/31

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Dominik [7]3 years ago

5 0

Answer:

$\frac{32}{31}$

Step-by-step explanation:

$(66 \: \:, \: \: 85) = > (x1 \: \: \:, \: \: x2) \\ (4 \: \: \: \: ,\: \: 21) = > (y1 \: \: \:, \: \: \: y2) \\$

$slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{85 - 21}{66 - 4} \\ = \frac{64}{62} \\ = \frac{32}{31}$

hope this helps

brainliest appreciated

good luck! have a nice day!

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Read 2 more answers

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

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The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos