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2 years ago

Find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5

Mathematics

1 answer:

Fudgin [204]2 years ago

4 0

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

$a_{1}$ = - 12

$a_{2}$ = - 12 + 5 = - 7

$a_{3}$ = - 7 + 5 = - 2

$a_{4}$ = - 2 + 5 = 3

$a_{5}$ = 3 + 5 = 8

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Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3

andrew-mc [135]

Answer:

$\frac{12x^4y^4}{3x^2y}=4x^2y^3$

Step-by-step explanation:

Consider an element $a\neq 0$

We know that $\frac{a^m}{a^n}=a^{m-n}$

Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.

Other Properties of exponents:

$a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}$

Here, we are required to divide $12x^4y^4$ by $3x^2y$ .

Consider $\frac{12x^4y^4}{3x^2y}$

We will solve $\frac{12}{3}\,,\,\frac{x^4}{x^2}\,,\,\frac{y^4}{y}$ separately.

Here,

$\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3$

So, $\frac{12x^4y^4}{3x^2y}=4x^2y^3$

8 0

2 years ago

Find the value of C. PLEASE HELP!!

sweet [91]

Answer:

Hey there!

The trick to finding the value that completes the square, is dividing the middle number, the 10, by 2, and squaring that. Thus, we have 10/2=5, and 5^2=25.

c=25

Hope this helps :)

8 0

3 years ago

3. Which equation is written in slope-intercept form?

NARA [144]

Y=mx+b is slope intercept form. it is y=3x+2 where 3/1 is the slope and 2 is the y-intercept.

5 0

2 years ago

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Anestetic [448]

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4 0

2 years ago

Tyra está colocando piezas de alfombra cuadrada de dowia en su estudio y fotografía. Cada pieza de alfombra cuadrada es de 1 yar

Nitella [24]

Answer: 28 creo

Step-by-step explanation:

Cuando usted está tratando de encontrar el perímetro de un cuadrado o una forma diferente, se multiplica. 7 x 4 = 28 o 4 x 7 = 28

Espero que esto ayude.

4 0

3 years ago