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3 years ago

The figures shown are similar. What is the scale factor? A.1/9 B.4/7 C.6/7 D.3/7

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

B.4/7

You can check by taking 21 * 4/7 = 12 which is figure 2

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Rewrite in simplest radical form 1 over x^(−3/6). Show each step of your process.

meriva

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\\\ ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}$

$\bf \rule{34em}{0.25pt}\\\\ \cfrac{1}{x^{-\frac{3}{6}}}\implies x^{\frac{3}{6}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}\implies \sqrt{x}$

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3 years ago

A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns

jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered

Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = $\frac{d}{15-x}$

time downstream = $\frac{d}{15+x}$

the ferry trip upstream takes twice as long as its return trip downstream

$\frac{d}{15-x}$ = $\frac{2d}{15+x}$

divide both sides by d

$\frac{1}{15-x}$ = $\frac{2}{15+x}$

cross multiply

$15+x= 2(15-x)$

$15+x= 30-2x$

Add 2x on both sideds

$15+3x= 30$

subtract 15 from both sides and divide by 3

$3x=15$

x=5

Speed of river's current = 5 mph

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3 years ago

How to draw a obuse angle

Phoenix [80]

Has to be greater than 90 degrees.

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3 years ago

(-1/9) ÷ 6/7 = Help Me Pls :)

german

Answer:

I believe your answer is -7/54

3 0

2 years ago

Read 2 more answers

2x+y=x-y-3=6 What is x&y???? Please answer asap!!!!

Mariana [72]

2x + y = x - y - 3 = 6
Add 3 to everything
2x + y + 3 = x - y - 3 + 3 = 6 + 3
2x + y + 3 = x - y = 9
2x + y + 3 = 9
2x + y = 6 = x - y
Add y to everything
2x + 2y = 6 + y = x
Since x = 6 + y substitute every x with 6 + y
2(6 + y) + 2y = x
12 + 4y = x

This is as simplified as I can get and then just place 12 + 4y into every x in the original problem then solve

8 0

4 years ago

The figures shown are sim﻿ilar. What is the scale factor? A.1/9 B.4/7 C.6/7 D.3/7 ﻿

The figures shown are similar. What is the scale factor? A.1/9 B.4/7 C.6/7 D.3/7