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3 years ago

Please Help! Thank you in advance!!

Mathematics

1 answer:

satela [25.4K]3 years ago

7 0

Answer:

a dilation with a scale factor less than 1 and then a translation

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Quadrilateral KITS was dilated with

Nataliya [291]

The dilation rules are KITS.

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3 years ago

Pleasee help mee ;-; i can't stand algebra, determine how many terms the geometric series has, and then find the sum of the seri

s2008m [1.1K]

Answer:

The series has 7 terms

$\displaystyle S_7=\frac{4372}{243}$

Step-by-step explanation:

<u>Geometric Series</u>

In the geometric series, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the series:

-12, -4, -4/3, ..., -4/243

We can find the common ratio by dividing one term by the previous term:

$\displaystyle r=\frac{-4}{-12}$

Simplifying:

$\displaystyle r=\frac{1}{3}$

Sum of terms: Given a geometric series with first term a1 and common ratio r, the sum of n terms is:

$\displaystyle S_n=a_1\frac{1-r^n}{1-r}$

We need to find how many terms the series has. Using the explicit formula of a geometric series:

$a_n=a_1\cdot r^{n-1}$

The last term is an=-4/243 and the first term is a1=-12. Solving for n:

$\displaystyle n= \frac{\log(a_n/a_1)}{\log r}+1$

$\displaystyle \frac{\log(-4/243/-12)}{\log 1/3}+1$

$\displaystyle \frac{\log(1/729)}{\log 1/3}+1$

n=7

The series has 7 terms

Thus, the sum of the 7 terms of the series is:

$\displaystyle S_7=-12\frac{1-(1/3)^7}{1-(1/3)}$

$\mathbf{\displaystyle S_7=\frac{4372}{243}}$

3 0

3 years ago

How to solve 10 1/8+(3 5/8+2 7/8)

jeyben [28]

Those are mixed fractions, so first you have to make them improper fractions, multiply the whole times the denominator and add the numerator, that will be you new numerator, then copy your denomminator.

81/8 + (29/8 + 23/8) Since they already have the same denominator use order of operations to proceed, 81/8+57/8 = 138/8 =17 2/8 = 17 1/4

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4 years ago

-2/3x+5>3 solve the inequality

Lady bird [3.3K]

Answer:

I got in my answer that x < 3

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3 years ago

Can you please please help me with this please it’s so hard and i will give you a branlist

Tomtit [17]

I think it’s the parallel sides “b”

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3 years ago