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Mashcka [7]
4 years ago
11

choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. a. y = 1/2x 5 b.

y = 1/2x − 3 c. y = 1/2x − 5 d. y = 1/2x 3
Mathematics
1 answer:
ICE Princess25 [194]4 years ago
6 0
The point-slope form: y-y_0=m(x-x_0)

m=\dfrac{1}{2};\ (2;-4)\to x_0=2;\ y_0=-4

subtitute

y-(-4)=\dfrac{1}{2}(x-2)\\\\\boxed{y+4=\frac{1}{2}(x-2)}
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Write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.
yanalaym [24]

Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):

  • 9/4 - 2.25 - 2 4/1
  • 8/3 - 2.67 - 2 2/3
  • 23/6 - 3.83 - 3 5/6
  • 11/2 - 5.5 - 5 1/2
  • 17/5 - 3.4 - 3 2/5
  • 15/8 - 1.875 - 1 7/8
  • 33/10 - 3.3 - 3 3/10
  • 29/12 - 2.416 - 2 5/12

I hope that this info helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)

7 0
3 years ago
Read 2 more answers
When running a 100 meter race Bill reaches his maximum speed when he is 45 meters from the starting line and 5 seconds have elap
Mkey [24]

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

<h3>Methods used to calculate speed and distance traveled</h3>

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

Speed = \mathbf{\dfrac{Distance}{Time}}

Therefore;

  • Bill's \  maximum \ speed = \dfrac{40 \ m}{5 \ s} = \underline{8 \ m/s}

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance,<em> s</em> = Speed, <em>v</em> × Time, <em>t</em>

<em />

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

  • Bill's distance from the starting line 8 seconds after start is 45 meters + 25 meters = <u>69 meters</u>

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

  • Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

Learn more about distance, speed, time, relationship here:

https://brainly.in/question/49075584

6 0
2 years ago
The equation h=kp describes h, the height of a stack of p pennies. A stack of 15 pennies is 24 millimeters tall. What is the val
slamgirl [31]
You plug in the values so it would be 24=15k. Divide by 15 on both sides so k=24/15=1.6. :)
8 0
3 years ago
If there are 36 boys and 54 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
aleksandr82 [10.1K]

Answer:

2:3

Step-by-step explanation:

6 0
3 years ago
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Brainlist queston plz help me plz Write the explicit formula for the arithmetic sequence with f(89) = -481.4 and f(126) = -677.5
larisa [96]

The answer is... Hope this helped

3 0
3 years ago
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