2 years ago

What is the distance between the two points shown?

2 answers:

7 0

The distance is (-4, 4)

Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).

I hope I am right :)

kotegsom [21]2 years ago

3 0

(-4,4) down four over four rise over run hope that helps!! :)

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

Answer this question please

leonid [27]

Answer:

40.8407

Step-by-step explanation:

8 0

3 years ago

15/16 divided by 20<br> 7/15 divided by 14

olga2289 [7]

Answer:

The first is 0.046 and the second is 0.033

Step-by-step explanation:

4 0

3 years ago

The difference between a number and 10 is multiplied by 2. The answer is 6. What is the equation that represents this informatio

Rashid [163]

The expression is 10 - 7 x 2 = 6.

5 0

3 years ago

8n = -3m + 1; n = -2, 2, 4

bogdanovich [222]

I am assuming you want to solve for m in each case

8n = -3m + 1

8(-2) = -3m + 1

-16 = -3m + 1

-3m = -17

m = $\frac{17}{3}$

8(2) = -3m + 1

16 = -3m + 1

-3m = 15

m = -5

8(4) = -3m + 1

32 = -3m + 1

-3m = 31

m = $\frac{31}{3}$

8 0

3 years ago

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