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3 years ago

Find the common difference of the arithmetic sequence 14,7,0 ....

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7 & d = -7

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1/2(n-5)=1/2(23-5) I cannot find what’s half of 23-5

liraira [26]

Answer:

n = 23

Step-by-step explanation:

if 1/2 (n-5) = 1/2 (23-5)

that must mean that n=23.

and if you are just looking for 1/2 of 23-5 that is just 9. (23-5) = 18 and half of 18 is 9

3 0

3 years ago

Simplifying Complex fractions using any method

zloy xaker [14]

Answer:

3ab

-------------------

(b+a)

Step-by-step explanation:

3/a - 3/b

-------------------

1/a^2 - 1/b^2

Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions

(3/a - 3/b) a^2 b^2

-------------------

(1/a^2 - 1/b^2) a^2b^2

3ab^2 - 3 a^2 b

-------------------

b^2 - a^2

Factor out 3ab on the top

3ab( b-a)

-------------------

b^2 - a^2

The bottom is the difference of squares

3ab( b-a)

-------------------

(b-a) (b+a)

Cancel like terms from the top and bottom

3ab

-------------------

(b+a)

6 0

3 years ago

Read 2 more answers

What is the value of x

Alenkasestr [34]

Answer:

i Think its 15 because the angles are the same

Step-by-step explanation:

Mark me brainliest if im right! please

6 0

3 years ago

Read 2 more answers

A linear function is written:<br> f(x) = 3/2x-4<br> What is the value of f(5)?

valentinak56 [21]

Answer:

$f(5)=3.5$

Step-by-step explanation:

$f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5$

Hope this helped!! Have an amazing day :D

4 0

3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

7 0

3 years ago