Mathematics: The width of a rectangular window is 2 feet more than its height. if the area is 35 square feet, what is the height?

The width of a rectangular window is 2 feet more

Ответ:

coolcat3190

30.12.2021

$h-height\\h+2-width\\35 ft^2-Area\\\\Area=h(h+2)\\\\h(h+2)=35\\h^2+2h-35=0\\\\a=1;\ b=2;\ c=-35\\\\\Delta=b^2-4ac;\ if\ \Delta 0\ then\ h_1=\frac{-b-\sqrt\Delta}{2a}\ and\ h_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=\sqrt{144}=12\\\\h_1=\frac{-2-12}{2\cdot1}=\frac{-14}{2}=-7 < 0;\ h_2=\frac{-2+12}{2\cdot1}=\frac{10}{2}=5\\\\Height\ is\ 5\ ft.$

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Ответ:

24swimdylanoh

03.05.2021

Mathematics

We have been given a graph which describes temperature of pizza ( in degree Celsius) as a function of time (in minutes).

We can see that time is independent variable and temperature is dependent variable as it depends on time.

Let us find when temperature of pizza will reach 0 degree Celsius. We can find the time when temperature will be 0 degrees by finding when y is zero.

We can see that initial temperature of pizza is about -6 degree Celsius. As time is increasing temperature of pizza is also getting less negative and it is approaching to zero.

At t= 0.75 minutes our function h(t) equals zero. Therefore, it will take 0.75 minutes the pizza to reach 0 degree Celsius.

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The width of a rectangular window is 2 feet more than its height. if the area is 35 square feet, what is the height?

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