Square root of 2(5 + square root of 8) is irrational and equal to what

Answers

Answer 1
Answer: Hello,
√2(5+√8)=5√2+√2*√8=4+5√2
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What fraction has a value that's equal to 3/4

Calculate the slope between the points (2,1) and (-3,4).

Answers

Answer:


To calculate the slope (m) between two points (x₁, y₁) and (x₂, y₂), you can use the formula:

\[ m = \frac{y₂ - y₁}{x₂ - x₁} \]

For the points (2,1) and (-3,4):

\[ m = \frac{4 - 1}{-3 - 2} = \frac{3}{-5} \]

Simplifying the fraction, the slope is:

\[ m = -\frac{3}{5} \]

Solve 2x²-3x-7=0 using completing the square method​

Answers

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Rearrange 10n=5(k-3) to make k the subject

Answers

Greetings!

In this question, we need to solve the equation where "k" will be our subject variable.

We were given the equation: 10n = 5(k - 3)

In order for "k" to be the subject, we need to solve for "k" where "k" is by itself.

Solve the equation for k:

10n = 5(k - 3)

Use the distributive property to distribute the 5

10n = 5k - 15

Add 15 to both sides to get 5k by itself

10n + 15 = 5k

Divide both sides by 5 to get "k" by itself

2n + 3 = k

Therefore, when "k" is the subject the equation is rearranged to: k = 2n + 3

Answer:

k = 2n + 3

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=-4
Find a possible formula for P(x)

Answers

yes, this is fun

remember the roots of a polynomial is
P(x)=(x-r1)(x-r2)...(x-rn)


so we have 5th degreee, means all exponents shoud add to 5

leading coeficient of 1, that means
P(x)=1x^n+bx^(n-1)...zx^0
means highest power coefience it 1

roots of multiplicity 2 at x=2 and x=0, means those roots show up 2 times each
root at x=2 means (x-2), it has multiplicity 2 so (x-2)^2
root at x=0 means (x-0), it has multiplicyt 2 so (x-0)^2

last one, multiplicity 1 and root at x=-4
(x-(-4))^1=(x+4)


so the polynomial is
P(x)=(x-2)^(2)(x)^(2)(x+4)

Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?–x + 2y = 16



2x – y = –2



x + 2y = 24



x – 2y = –16

Answers

Hello,

Answer A
y-10=(11-10)/(6-4) * (x-4)
==>2y=x+16
==>-x+2y=16

Which expression has a simplified expression of 5x - 12?1.) -3(4 x - 4) - 7 x
2.) 3(4 x - 4) - 7 x
3.) 3(-4 x + 4) - 7 x
4.) -3(-4 x - 4) - 7 x
this is multiple choice

Answers

TherightanswerisofoptionB.

please see the attached picture for full solution

Hopeit helps

Goodluck on your assignment

Answer:

2.) 3(4 x - 4) - 7 x

Step-by-step explanation: