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Leno4ka [110]
2 years ago
7

Solve pls brainliest

Mathematics
1 answer:
Sphinxa [80]2 years ago
7 0

Answer:

(\frac{2}{3})^{4} written in simplest form is \frac{16}{81}

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is \frac{2}{3} and the exponent is 4, so you can write the expression as \frac{2^{4}}{3^{4}}. 2^{4} is 16, and 3^{4} is 81, so the fraction is \frac{16}{81}.

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Help!!!!!!!!!!!!!!!!!
alexandr402 [8]

NOAH BECK WHAT THE HECK NOAH BECK

4 0
3 years ago
A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative
pishuonlain [190]

Answer:

Part A:

m_1m_2=-1

\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = \frac{b}{a}

Step-by-step explanation:

Condition for perpendicular is:

m_1m_2=-1

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector=m_1=\frac{y}{x}=\frac{b}{a}

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y=\frac{-ax}{b}+\frac{c}{b}

According to general equation of line: y=mx+c

Where m is the slope

In our case the slope of above line is:

m_2=\frac{-a}{b}

According to the condition of perpendicular:

m_1m_2=-1

\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y=\frac{-ax}{b}+\frac{c}{b}

According to  general equation of line: y=mx+c

Where m is the slope

Slope of given line=m=\frac{-a}{b}

negative reciprocal of the slope of the given line = \frac{b}{a}

Slope of vector = \frac{b}{a}

5 0
3 years ago
3х+2 / 4 - 2x+1 / 3= 5
Over [174]

Answer:

X= 25/6

Step-by-step explanation:

Please mark brainliest

4 0
3 years ago
Fred bought 0.75 liters more laundry detergent than fabric softener
Radda [10]
So he would have more landry soap left over
6 0
3 years ago
What is the volume of the right rectangular prism 
Norma-Jean [14]

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

7 0
3 years ago
Read 2 more answers
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