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SVETLANKA909090 [29]
3 years ago
7

HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

Stop stealing points this isn't your question

Step-by-step explanation:

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What number must you add to complete the square x^2+4x=15
Andrew [12]
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.

(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²

Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2

Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
6 0
3 years ago
A line that is perpendicular to y=-4-10 passing through the point (8,11)
guapka [62]

Answer:

Step-by-step explanation:

11=4(8)+b

11=32+b

-21=b

y=4x-21

i think

4 0
2 years ago
Efficiency is the ratio of output work to input work, expressed as a percentage. Light bulbs put out less light energy than the
grandymaker [24]

Answer:

  10%

Step-by-step explanation:

Using the given formula with the given data, we have ...

  efficiency = output work / input work

  = (10 J)/(100 J) = 0.10 = 10%

7 0
3 years ago
Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.
Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers a and b whose sum is a prime number p, that their greatest common divisor is greater than 1.

a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\

Since p is a prime number and d>1, then d=p \wedge e+f=1, but we assumed earlier that e,f\in\mathbb{Z^+}, and there are no two positive integers that sum up to 1.

q.e.d.

7 0
3 years ago
What are the answers I need help I tried and I am stuck HELP ME PLEASE!!! I Will Give Brainliest!!
Mice21 [21]

Answers: 11-20

Step-by-step explanation: Step 1. Flip the equation Step 2. Add the number to both sides Step 3. Divide both sides by the number to get your answer.

1. v=10 2. m=7 3. r=-9 4. k=9 5. r=0 6. x=10 7. x=6 8. 9=3 9. m=-10 10. n=-10

11.p=0

12.x=10

13.b=4

14.n=0

15.p=2

16.x=8

17.m=8

18.x=3

19.n=-1

20.n=9

4 0
3 years ago
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