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LenKa [72]
2 years ago
14

Find the slope of the line that passes through the two given points:

Mathematics
1 answer:
elixir [45]2 years ago
4 0

Answer:

\frac{ - 1}{6}

Step-by-step explanation:

slope \:  =  \frac{y2 - y2}{x2 - x1}  \\ slope =  \frac{3 - 4}{5 -  - 1} \\ sope =  \frac{ - 1}{ \:  \:  \: 6}

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Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the for
NemiM [27]

Answer:

The constant of proportionality is 54.

k = 54

c as a function of d:

c(d) = \dfrac{54}{d^2}

c(7) = \dfrac{54}{49}

Step-by-step explanation:

We are given the following in the question:

c is inversely proportional to the square of d.

\Rightarrow c\propto \dfrac{1}{d^2}\\\\\Rightarrow c = \dfrac{k}{d^2}\\\\\text{where k is constant of proportionality}

When c = 6, d = 3.

Plugging the values, we get,

6 = \dfrac{k}{3^2}\\\\\Rightarrow k = 6\times 3^2 = 54

Thus, the constant of proportionality is 54.

c as a function of d can be written as:

c(d) = \dfrac{54}{d^2}

We have to find value of c when d = 7.

Putting values, we get,

c(7) = \dfrac{54}{(7)^2}=\dfrac{54}{49}

is the required value of c.

4 0
3 years ago
The gift shop at manatee mall was having a clearance sale everything marked down 30%. The original price of a manatee hat was 18
jeka94
<h2>Greetings!</h2>

Answer:

$12.60

Step-by-step explanation:

To find this, you need to remember this equation:

Starting amount x \frac{100 - percent}{100}

Plug these values in:

18 x \frac{70}{100} = 12.6

So the clearance price was $12.60!


<h2>Hope this helps!</h2>
7 0
3 years ago
PLEASE HELP!!!Determine whether each pair of triangles is congruent. If so, write a congruence statement with a congruence condi
Marizza181 [45]

Answer:

They are congruent.

Step-by-step explanation:

We know this for the fact that angle D and angle A are the same.

Angle B and angle A are the same

The line AB and DE are the same.

Not sure about transformations but I think it was transformed around the origin.

Not 100 percent about the last part.

Hope this helps.

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3 years ago
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What is the question
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