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Zanzabum
3 years ago
11

What is the distance between the points (-2,4) and (6,-4), rounded to the nearest tenth

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

9514 1404 393

Answer:

  11.3 units

Step-by-step explanation:

The distance can be found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)

  d = 8√2 ≈ 11.3

The distance is approximately 11.3 units.

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Trava [24]
S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))

When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5

acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
s''(1.5) = -(π/6)^2 (cos(π/4) + sin(π/4)) = -(π/6)^2 (2/√2) = -0.3877
accerelation = -0.3877 meter/s^2
7 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
ArbitrLikvidat [17]

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

3 0
3 years ago
The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 66​% of the​ carbon-1
Likurg_2 [28]
The tree died 3696 years ago because 66x5600=369600/10=3696.
5 0
3 years ago
The probability of a football team winning a game is three fifths. If they play 45 games in a season, how many games would you e
Charra [1.4K]

Answer:

27 games

Step-by-step explanation:

The probability of them winning is 3 out of 5 games.

First, multiply 45 by \frac{3}{5}

\frac{45}{1} *\frac{3}{5}

\frac{135}{5}

27 games.

<u />

You could also just multiply 45 by 3 then divide by 5. Mostly the same thing

I hope this helps!

8 0
3 years ago
(5k − 1 + 2k3) − (6k3 − 3k2 − 8) + (8k3 − 2k2 − 7k)
Vera_Pavlovna [14]

Answer:

4k^3 + k^2 - 2k + 7

Step-by-step explanation:

Hope this helps, and good luck

3 0
3 years ago
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