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viva [34]
3 years ago
8

Will mark brainliest :) Given vectors u = -9i + 8j and v = 7i + 5j find 2u -6j in terms of unit vectors i and j

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

the answer is option number b..

a_sh-v [17]3 years ago
4 0

Answer:

b.

Step-by-step explanation:

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Can you help me with my math questions
GrogVix [38]

p^2+2(7)p+7^2=(p+7)^2


Justification:

Given:  p^2+14p+49


Split the middle term;

=p^2+7p+7p+49


Factor:

=p(p+7)+7(p+7)


=(p+7)(p+7)


=(p+7)^2


QUESTION 3a

The given expression for the area of the rectangle is  36x^2-12x+1.


This is equal to the indicated area which is 289\;in^2


This implies that


36x^2-12x+1=289


\Rightarrow (6x-1)^2=289


\Rightarrow (6x-1)(6x-1)=289


\Rightarrow l=(6x-1),w=(6x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow (6x-1)=\pm \sqrt{289}


\Rightarrow (6x-1)=\pm 17


\Rightarrow 6x=1\pm 17


\Rightarrow 6x=18 \:or\:6x=-16


\Rightarrow x=3 \:or\:x=-\frac{2}{3}

We discard the negative value.

The side length of this rectangle is


\Rightarrow l=(6(3)-1)=17,w=6(3)-1=17


QUESTION 3b

The given expression for the area of the rectangle is  25x^2-50x+25.


This is equal to the indicated area which is 1225\;in^2


This implies that


25x^2-50x+25=1225


25(x^2-2x+1)=1225


(5(x-1))^2=35^2


5(x-1)5(x-1)=49


\Rightarrow l=5(x-1),w=5(x-1)



This implies that, the dimensions of the rectangle are equal;


Using the square root method, we obtain

\Rightarrow 5(x-1)=\pm \sqrt{1225}


\Rightarrow 5(x-1)=\pm 35


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We discard the negative value.

The side length of this rectangle is


\Rightarrow l=5(8-1)=35,w=5(8-1)=35



QUESTION 3c

The given expression for the area of the rectangle is  49x^2-56x+16.


This is equal to the indicated area which is 289\;in^2


This implies that


49x^2-56x+16=289




(7x-4)^2=289


(7x-4)(7x-4)=289



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In geometry, how do defined terms and undefined terms relate to each other?
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In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

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<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

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<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
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4, 12, and 18 in two different ways

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Answer:

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Step-by-step explanation:

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