What is the common ratio in this geometric sequence? 3,12,48

I need some help on this triangle similarity proof in Geometry!

AlladinOne [14]

I believe that this is correct if anything is unclear/blurry just ask and i will tell u what i wrote

8 0

4 years ago

Valerie deposits $1,900 in an account that

horrorfan [7]

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Compound Interest Rate Formula: $\displaystyle A = P(1 + \frac{r}{n})^{nt}$

A is final amount
P is principle amount
r is rate
n is compound rate
t is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]: $\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}$
(Parenthesis) Divide: $\displaystyle A = 1900(1 + 0.0075)^{4(6)}$
(Parenthesis) Add: $\displaystyle A = 1900(1.0075)^{4(6)}$
(Exponents) Multiply: $\displaystyle A = 1900(1.0075)^{24}$
Exponents: $\displaystyle A = 1900(1.19641)$
Multiply: $\displaystyle A = 2273.19$

5 0

3 years ago

What is 138,840 divided by 2 lol

noname [10]

Answer:

6920

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a

HACTEHA [7]

Answer:

$\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)$

Step-by-step explanation:

Factored Form Of Polynomials

If we know the roots of a polynomial as

$\alpha _1,\alpha _2,\alpha _3$

the polynomial can be expressed in factored form as

$a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)$

We are given two of the three roots of the polynomial:

$\alpha _1=1-3i$

$\alpha _2=2$

The other root must be the conjugate of the complex root:

$\alpha _3=1+3i$

Recall the product of two complex conjugate numbers is

$(1-3i)(1+3i)=1^2-(3i)^2=1+9=10$

The required polynomial is

$P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)$

$P(x)=a(x^2+2x+10)(x-2)$

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

$P(0)=10$

$P(0)=a(0^2+2(0)+10)(0-2)=10$

$-20a=10$

Thus the value of a is

$\displaystyle a=-\frac{1}{2}$

The expression of the required polynomial is

$\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}$

5 0

3 years ago

Langle is so degrees and ove on.

andre [41]

Step-by-step explanation:

perimeter = 332

let the width be 'x'

then, length = 2x+7

perimeter = 2 (length+width)

332 = 2 ( 2x+7 + x )

332/2 = 3x + 7

166 - 7 = 3x

159/3 = x

53 = x

therefore, width (x) = 53

length = 2(53)+7

= 113

7 0

3 years ago