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Genrish500 [490]
2 years ago
6

Solve the equation p^2 + 4p = 1 by completing the square.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
7 0

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

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He table shows the solution to the equation |2x − 5| − 2 = 3:
ozzi
The solution is completely correct, as putting 5 or 0 in the formula again will make it true.

|2(0)-5|=5
|-5|=5
5=5

|2(5)-5|=5
|10-5|=5
5=5
6 0
3 years ago
Questlon 4 of 10
Kisachek [45]

Answer:

c

Step-by-step explanation:

<em>To </em><em>find </em><em>the </em><em>midpoint</em><em> </em><em>the </em><em>formulas</em>

<em>x=</em><em>x1+</em><em>x2/</em><em>2</em><em> </em><em>and </em><em>y</em><em>=</em><em>y1+</em><em>y2/</em><em>2</em><em> </em><em>are </em><em>used </em>

<em>in </em><em>this </em><em>case </em><em>x1 </em><em>is </em><em>5</em><em>,</em><em>x2 </em><em>is </em><em>5</em><em>,</em><em>y1 </em><em>is </em><em>4</em><em> </em><em>and </em><em>y2 </em><em>is </em><em>-</em><em>3</em>

<em>therefore</em>

<em>x=</em><em>5</em><em>+</em><em>5</em><em>/</em><em>2</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

<em> </em><em> </em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em>

<em> </em><em> </em><em>=</em><em>5</em>

<em>y=</em><em>4</em><em>+</em><em>(</em><em>-</em><em>3</em><em>)</em><em>/</em><em>2</em>

<em> </em><em> </em><em>=</em><em>1</em><em>/</em><em>2</em>

3 0
3 years ago
If a movie starts at 10:40am and lasts for 1h and 59min, then what time should the movie end.
OverLord2011 [107]

Answer:

12:39

Step-by-step explanation:

First, to make it easier, round the amount of time the movie lasts to the nearest hour. In this case, the movie "lasts" for 2 hours.

Add 2 hours to 10:40am. Note that when it hits 12, the am becomes pm.

10:40 + 2:00 = 12:40

Now, subtract 1 minute from the amount (1 hr 60 min - 1 hr 59 min = 1 min)

12:40 - 0:01 = 12:39

12:39 pm should be the time the movie ends.

~

7 0
3 years ago
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GenaCL600 [577]
The m in y=mx+b stands for the Slope of the equation
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2 years ago
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Aria drank 500 milliliters of water after her run. Her best friend, Andrea, drank 0.75 liter of water. Who drank more?
Paul [167]
To answer this item, let us convert first one of the given dimension such that both numbers will take only the same units for easier comparison. It should be noted that every liter (L) is consists of 1000 mL. 

Aria: (500 mL)(1 L/1000 mL) = 0.5 L
Andrea: 0.75 L

Since, 0.75 L is higher compared to 0.5L, the answer to the item is Andrea. 
8 0
2 years ago
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