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2 years ago

Using the number line above, select the number that would be the opposite of Point T.

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Answer:-9

Step-by-step explanation:

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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

aniked [119]

Answer:

10.50°C

Step-by-step explanation:

Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3

The rate of change in temperature of the bug path can be expressed using the composite formula:

dT/dt = Tx(dx/dt) + Ty(dy/dt)

If x = 2+t; dx/dt = 1

If y = 1+12t; dy/dt = 1/2

Substituting the parameters gotten into dT/dt we will have;

dT/dt = 9(1)+3(1/2)

dT/dt = 9+1.5

dT/dt = 10.50°C/s

Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s

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2 years ago

What’s 1 km 600m turned into meters

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I'm pretty sure its 1600m

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adelina 88 [10]

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Which of the following statements will be true about the product of 6 and 1=? The product vál be greater than 6. The produci vil

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2 years ago

4n² +7n=0 what do I do if there is no part c?

Gnoma [55]

Answer:

Find the coefficients using ax^2 + bx + c = 0

a = 4

b = 7

c = 0

Make the coefficient equal 1. But how do we do that? Division.

4n² + 7n = 0

4/4n² + 7n/4 = 0/4

Simplify

= n² + 7/4n = 0

a = 1

b = 7/4

c = 0

Complete the square using b/2².

b = 7/4

(b/2)² = (7/4 ÷ 2)²

Use fraction rule.

7/4 ÷ 2² = 7/4² / 2²

square the numbers

7/4² / 2² = 49/16 ÷ 4

49/16 ÷ 4 = 49/16 × 1/4

49/16 × 1/4 = 49/64

Add to both sides of the equation using 49/64

b = 7/4

b/2 = 7/4 ÷ 2

simplify

b/2 = 7 ÷ (4 × 2)

simplify(arithmetic)

b/2 = 7/8

n² + 7/4n + 49/64 = 49/64

(n + 7/8)² = 49/64

Solve for the unknown x

$(n+\frac{7}{8})^2=\frac{49}{64}\\\sqrt{(n+\frac{7}{8})^2}=\sqrt{\frac{49}{64}}\\$

Next, cancel out the square on the left side.

$n+\frac{7}{8}=+/-\sqrt{\frac{49}{64}}$

Subtract 7/8 from both of the sides.

$n+\frac{7}{8}-\frac{7}{8}=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}$

Simplify the left side.

$n=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\\n=-\frac{7}{8}+/-\frac{\sqrt{49}}{\sqrt{64}}\\n=-\frac{7}{8}+/-\frac{7}{8}\\n_1=0\\n_2=-\frac{7}{4}$

That wraps it up for this equation. Hope it helped!

3 0

1 year ago