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rjkz [21]
3 years ago
15

What number must you add to complete the square? x2 + 12x = -5

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0
You must add 6 to complete the square. 
x^2+12x+(6)=-5(6)
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(x+y=3<br> (3x+2y=14<br> what is the coordinates for this problem
Ludmilka [50]


<span>3x - 2y + 2y > -14 + 2y </span>

<span>3x + 0 > -14 + 2y </span>

<span>3x > -14 + 2y </span>

<span>3x + 14 > -14 + 14 + 2y </span>

<span>3x + 14 > 0 + 2y </span>

<span>3x + 14 > 2y </span>

<span>(3x + 14)/2 > 2y/2 </span>

<span>(3x + 14)/2 > y*(2/2) </span>

<span>(3x + 14)/2 > y*(1) </span>

<span>(3x + 14)/2 > y </span>

<span>y < (3x + 14)/2 </span>

<span>y < 3x/2 + 14/2 </span>

<span>y < 3x/2 + 7 </span>

<span>y < (3/2)*x + 7 </span>

<span>“y” is LESS THAN (3/2)*x + 7 </span>

<span>the slope intercept form of the inequality is: y < (3/2)*x + 7 </span>


<span>STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. </span>

<span>y < (3/2)*x + 7 </span>

<span>y = (3/2)*x + 7 </span>


<span>STEP 3: Prepare the x-y table using the equation from Step 2. </span>

<span>Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. </span>

<span>Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. </span>

<span>You can choose any value for x. </span>


<span>For example, (arbitrarily) choose x = -2 </span>

<span>If x = -2, </span>

<span>y = (3/2)*x + 7 </span>

<span>y = (3/2)*(-2) + 7 </span>

<span>y = 4 </span>
4 0
3 years ago
Your friend Zoe is very earnest about the benefits of her special diet. She believes that having kale for breakfast every day wi
charle [14.2K]
- The best method to test Zoe's claim is an observational study, as with this method it is possible to observe if the claim presents some truth to it. Observational studies are often used in testing claims like Zoe's as they allowed to have a great access to the variable that are behind a claim of that type, and so they are also more accessible.

- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have<span> kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way. </span>
6 0
3 years ago
What is the area of the obtuse triangle Below?
bija089 [108]

Answer:

45 sq.units

Step-by-step explanation:

to get area of a triangle, it would be base*height/2, so 15*6/2 would be 90/2, which ends up being 45, which is the answer.

4 0
2 years ago
Members of the swim teams at a competition want to wash their hair. The bathroom has less than 5600 liters of water and at most
klemol [59]

Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

<h3>What is inequality?</h3>

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

For 35 long haired and 40 short haired member.
Put this values in the given equation.

For water 70L+60S < 5600
  70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds


For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds

Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1


4 0
2 years ago
27
Gwar [14]

Answer:

1,3,4

Step-by-step explanation:

ıf we rearrange formula we can obtain

p=nrt/v

t=pv/nr

v=nrt/p

r=pv/nt

4 0
2 years ago
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