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Katen [24]
2 years ago
12

In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B'

after the dilation. What is the length of ? Use the distance formula to help you decide: . A. 5 units B. 15 units C. 21 units D. 24 units E. 45 units
Mathematics
2 answers:
Elis [28]2 years ago
8 0
The answer is C
-Hope it helps!
……….
IgorC [24]2 years ago
7 0

Answer:C is the answer

Step-by-step explanation:

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
What is 1x+3y=18 in slope intercept form
photoshop1234 [79]

Answer:

y = -x/3 + 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   x + 3y = 18

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    3y = -x + 18
  2. Divide 3 on both sides:                       y = -x/3 + 6
3 0
3 years ago
Read 2 more answers
2 Points
Inga [223]

Answer:

D

Step-by-step explanation:

Given

9 - 7x = (4x - 3)² + 5 ← expand the squared factor

9 - 7x = 16x² - 24x + 9 + 5, that is

9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )

0 = 16x² - 17x + 5, that is

16x² - 17x + 5 = 0 ← in standard form → D

4 0
3 years ago
If a barber is capable of cutting the hair of 35 people per day and he works 7 days per week, how many haircuts could he give du
Pavel [41]
June=1,225
April=1,225
May=1,225

All June April and May is 3,675 haircuts
6 0
3 years ago
What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?
jonny [76]

Answer:

\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)

<em>Hope this helps and have a great day!!!</em>

<em>Sofia</em>

4 0
3 years ago
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