All categories

3 years ago

Helppppp.. picture attached

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

$n^2+n\\\\check:\\\\a_1=1^2+1=2\\a_2=2^2+2=6\\a_3=3^2+3=12\\a_4=4^2+4=20$

You might be interested in

Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent th

Luba_88 [7]

The total distance traveled by Alfred is the sum of the distance he traveled before and after refueling.

The distance he traveled before refueling is 150 miles. After refueling, the distance he traveled is the product of his speed and time, x hours. Therefore, his total distance traveled is,

y = 60x + 150

7 0

3 years ago

-56 + _ =-84 please help

GaryK [48]

Answer:

-28 is the answer.

Step-by-step explanation:

84-56=28

56+28=84

-56+-28=-84

4 0

3 years ago

A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

kozerog [31]

Answer:

$cos\theta=1/3$

Step-by-step explanation:

The point at the terminal side of an acute angle is given by $(1, 2\sqrt{2} )$ .

That is,

$x = 1$ and $y= 2\sqrt{2}$ .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

$r = \sqrt{x^{2} + y^{2}}$

Substituting the values of x and y into r,

$r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}$

$r = \sqrt{1 + 8}$

$r = \sqrt{9}$

Thus, $r=3$

Also, $cos\theta$ is given by:

$cos\theta = x/r\\$

Substituting values of x and r,

$cos\theta = 1/3\\$

4 0

3 years ago

Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not

Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is, 3x - 12 = -4 - 2x + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12 = -2x + 2x + 6

step 5:

5x - 12 = 6

step 6: Add 12 to both-side of the equation

5x - 12 + 12 = 6 + 12

step 7

5x = 18

Step 8: divide both-side of the equation by 5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0

3 years ago

How do I calculate 1/4-1/10 ?

Viktor [21]

Answer:

Hello there! I'm Ashlynn I'm always ready to help anyone in need of it!

__________________________________________________

(1 / 4) - (1 / 10) = 0.15

__________________________________________________

Calculate definition, to determine or ascertain by mathematical methods; compute: to calculate the velocity of light.

__________________________________________________

“It makes a big difference in your life when you

stay positive.”

- Ellen DeGeneres

___________________________________________________

 Have a great day!! 

  - Ashlynn

（*＾-＾*）

8 0

3 years ago