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madreJ [45]
3 years ago
7

Anyone I’m really lost

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

The answer is option 3.

Step-by-step explanation:

You have to substitute H+=2×10^(-9) into the equation of pH :

pH = -log[H+]

H+ = 2×10^(-9)

pH = -log[2×10^-9]

= 8.70 (3s.f)

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Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
If a number is divisible by 3, then its odd
tatyana61 [14]

Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

4 0
3 years ago
The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest
Dmitrij [34]
The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.
4 0
3 years ago
PLEASE HELP ASAP!!<br> A<br> B<br> C<br> D
Zepler [3.9K]

Answer:

A

Step-by-step explanation:

Just plug numbers and it will give you graph attributes

7 0
3 years ago
Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.
Vedmedyk [2.9K]
If the line is perpendicular to x = 4, then that means the answer should be y = some number

and since we have the equation going through point (5,7), we look at the y-value since our equation is y=some number and replace the y-value into that equation.

So the correct answer is C. y = 7

Hope that helps :)

8 0
3 years ago
Read 2 more answers
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