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3 years ago

X+3, -2x^(2)-6x, 4x^(3)+12x^(2) what is the 8th term in this geometric sequence

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

a8 = -128x^8 -384x^7

Step-by-step explanation:

The formula for the general term of a geometric sequence with first term a1 and common ratio r is ...

an = a1·r^(n-1)

Here, we have a1 = (x+3) and r = (-2x^2-6x)/(x+3) = -2x. Then the 8th term is ...

a8 = (x+3)(-2x)^(8-1)

a8 = -128x^8 -384x^7

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If a triangle has side lengths 14,48, and 50 units what type of triangle is it an acute an obtuse a right or no solution.

Snezhnost [94]

Answer:

No solution

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

$48+50>14$

$98>14$ -----> is not true

therefore

You can't build a triangle with those dimensions

4 0

3 years ago

Write an algebraic expression for the verbal expression. the product of 13 and x

Igoryamba

Answer:

13x

Step-by-step explanation:

The product of 13 and x would be 13*x or just simply 13x.

6 0

2 years ago

Simplify each expression

Amiraneli [1.4K]

1. -4+5x^3-(-3y)^0

-1+-3=-4
3x^2+ 2x^1= 5x^3
9y^1-6y^1=14y^0

2. 2y-(-3x^5)+10

5y-3y=2y
-3x^1+-2x^2=-5x^3
-5x^3+2x^2=-3x^5

3. 3x+3y+8

4x^2+2x=6x^3
6x^3-3x^2=3x
7y-2y=4y
4y-y=3y
-5+(-3)=8

4. 6x^3+4y+2

3x^2+3x^1=6x^3
7y-2y=5y
5y-y=4y

I hope this helped

3 0

2 years ago

Find the value of x.

Arlecino [84]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>tips and formulas:</h3>

a straight line contains 180°

<h3>let's solve:</h3>

according to the question

7x+x+20=180

=>8x+20=180

=>8x=160

therefore

x=20

7 0

2 years ago

Is it possible to build a triangle with inside angles of 90 degrees , 50 degrees, and 60 degrees?

N76 [4]

Answer:

Step-by-step explanation:

Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees

To check : if it possible to build a triangle with given angles

Solution:

According to angle sum property of a triangle, sum of angles of a triangle is equal to $180^{\circ}$

Here,

sum of given angles = $90^{\circ}+50^{\circ}+60^{\circ}=200^{\circ}\neq 180^{\circ}$

Therefore, it is <u>not possible</u> to construct a triangle with given angles.

7 0

2 years ago