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3 years ago

If √6 is the geometric mean between 4 and another number, then the number is

1 answer:

4 0

If you have two numbers x, y. The geometric mean is: √xy

For 4 and x. Geometric Mean = √4x and this is equal to √6

   √4x = √6 Square both sides. The square root disappears.

   4x = 6
   x = 6/4 = 3/2 = 1.5

The other number is 1.5.

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In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?

pav-90 [236]

════════ ∘◦❁◦∘ ════════

<h3>Answer = -7</h3>

════════════════════

<h3>Known</h3>

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

<h3>Question</h3>

d = ..?

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#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

• The formula of arithmetic sequence

n = nth term

a = first term

d = common difference

════════════════════

7 0

3 years ago

Help me with this, Its in the doc below

zvonat [6]

Answer:

https://faq.brainly.com/hc/en-us/articles/360014661139.

Step-by-step explanation:

5 0

3 years ago

Help and explanation if you don’t know don’t answer

Gekata [30.6K]

Answer:

A is false (Y is far left of 0, so it is a negative. H is close to 0 so it is positive. Y is farther from zero, so it is bigger. For example, Y could be -7, and H could be 3. The sum of -7 and 3, would be -5.

B is false (E is on the left of 0 so it is negative. Y is on the left of zero so it is also negative. Negative divided by a negative is a positive )

C is false (H is positive and E is negative. Positive times a negative equals a negative.)

D is true (A is close to zero, so it is a small positive number. H is farther from zero, so it is a larger positive number. For example, A can be 2 and H can be 5. So, 3 - 5 would equal a negative.)

8 0

3 years ago

For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matr

noname [10]

Answer:

b) inconsistent

d) inconsistent

f) inconsistent

j) X_1 = 2 - 6a , X_2 = 4 + a , X_3 = 3 - a, X_4 = a (free variable)

Step-by-step explanation:

Given: Augmented matrix

$\left[\begin{array}{ccc}2&-3&5\\-4&6&8\end{array}\right]$

Row operation : R_2 + 2*R_1

$\left[\begin{array}{ccc}2&-3&5\\0&0&18\end{array}\right]$

Looking at R_2 : 0 not equal to 18 ; Hence, inconsistent

Given: Augmented matrix

$\left[\begin{array}{cccc}3&2&-3&4\\1&-2&2&1\\11&2&1&14\end{array}\right]$

Row operation : R_2 <---> R_1

$\left[\begin{array}{cccc}1&-2&2&1\\3&2&-3&4\\11&2&1&14\end{array}\right]\\$

Row operations : R_2 - 3*R_1 & R_3 - 11*R_1

$\left[\begin{array}{cccc}1&-2&2&1\\0&8&-9&1\\0&24&-21&3\end{array}\right]\\$

Row operations : R_3 - 3*R_2

$\left[\begin{array}{cccc}1&-2&2&1\\0&8&-9&1\\0&0&6&0\end{array}\right]\\$

Looking at R_3 : 0 not equal to 6 ; Hence, inconsistent

Given: Augmented matrix

$\left[\begin{array}{cccc}1&-1&2&4\\2&3&-1&1\\7&3&4&7\end{array}\right]\\$

Row operations : R_2 - 2*R_1 & R_3 - 7*R_1

$\left[\begin{array}{cccc}1&-1&2&4\\0&5&-5&-7\\0&10&-10&-21\end{array}\right]\\$

Row operations : R_2 --> ( 1 / 5 )* R_2 & R_3 --> ( 1 / 10 )* R_3

$\left[\begin{array}{cccc}1&-1&2&4\\0&1&-1&-1.4\\0&1&-1&-2.1\end{array}\right]\\$

Row operations : R_3 - R_1

$\left[\begin{array}{cccc}1&-1&2&4\\0&1&-1&-1.4\\0&0&0&-0.7\end{array}\right]\\$

Looking at R_3 : 0 not equal to -0.7 ; Hence, inconsistent

Given: Augmented matrix

$\left[\begin{array}{ccccc}1&2&-3&1&1\\-1&-1&4&-1&6\\-2&-4&7&-1&1\end{array}\right]\\$

Row operations : R_2 + R_1 & R_3 + 2*R_1

$\left[\begin{array}{ccccc}1&2&-3&1&1\\0&1&1&0&7\\0&0&1&1&3\end{array}\right]\\$

corresponding equations are:

X_1 + 2*X_2 - 3*X_3 + X_4 = 1

X_2 + X_3 = 7

X_3 + X_4 = 3

Free parameter : X_4 = a , then:

X_3 = 3 - a

X_2 = 4 + a

X_1 = 1 - a + 3*(3 - a) - 2*(4 + a) = 2 - 6 a

4 0

4 years ago

The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c

soldi70 [24.7K]

There isn't enough information for me to help you. Could you attach a picture so that I can see the triangle and where angles B and C are? Thank you.

8 0

3 years ago

Read 2 more answers