Write the equation of a function that passes through these points

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

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The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is

iren [92.7K]

Answer:

The temperature is increasing at the rate of 6.5 degree celcius per second.

Step-by-step explanation:

We are given the following information:

Temperature of a point is given by T(x,y)

After t seconds a bug reaches a point $x = \sqrt{2 + t}, y = 3 + \frac{1}{2}t$

At t = 2, x = 2, y = 4

The temperature function satisfies:

$T_x(2,4) = 8\\T_y(2,4) = 9$

We have to find:

$\displaystyle\frac{dT}{dt} = T_t(x(t), y(t))\\\\= T_x(x(t),y(t)).x'(t) + T_y(x(t),y(t)).y'(t) \\\\= T_x(x(t),y(t)).\displaystyle\frac{1}{2\sqrt{(t+2)}} + T_y(x(t),y(t)).\displaystyle\frac{1}{2} \\\\\displaystyle\frac{dT(x,y)}{dt}_{at~t=2} = \displaystyle\frac{dT(2,4)}{dt}_{at~t=2} = 8.\displaystyle\frac{1}{4} + 9.\displaystyle\frac{1}{2} = 2 + 4.5 = 6.5$

Hence, the temperature is increasing at the rate of 6.5 degree celcius per second.

3 0

4 years ago

Which of the following verifies that AABC is similar to A DEF?

emmainna [20.7K]

Answer:

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

6 0

4 years ago

Read 2 more answers

At a concert the ratio of adults to children is 4:5. There are 720 children in a concert how many adults are there?

zepelin [54]

Answer:

576 adults

Step-by-step explanation:

The 5 part of the ratio relates to 720 children, then

720 ÷ 5 = 144 ← value of 1 part of the ratio , then

4 parts = 4 × 144 = 576 ← number of adults