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PilotLPTM [1.2K]
2 years ago
12

Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions. -w − z = z − w = w − z =

Mathematics
1 answer:
Elodia [21]2 years ago
4 0

Answer:

Concept: Linear Algebra

  1. Given two linearly independent vectors w and z
  2. We want -w-z
  3. Hence apply a negative gradient to w
  4. w=-<-5,3> =<5,-3>
  5. So <5,-3>-<1,4> = (<5-1>,<-3-4>)
  6. The answer is <4,-7>
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What are two rational numbers between -3/4 and -2/3​
Vadim26 [7]

The two rational numbers between -  \frac{3}{4}and -  \frac{2}{3}is -  \frac{32}{48},-  \frac{36}{48}

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

-  \frac{3}{4}  \times  \frac{3}{3}  =   - \frac{ 9}{12}

again multiply -9/12 with 4 both numerator and denominator

-  \frac{9}{12}  \times  \frac{4}{4}  =  -  \frac{36}{48}

now multiply -2/3 with 4 both numerator and denominator

-  \frac{2}{3}  \times  \frac{4}{4}  =  -  \frac{8}{12}

again multiply -8/12 with 4 both numerator and denominator

-  \frac{8}{12}  \times  \frac{4}{4}  =  -  \frac{32}{48}

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

8 0
1 year ago
An 8-oz bottle of ketchup costs $1.39. If the unit rate stays the same, how much should a 14-oz bottle cost? $0.79 $2.43 $2.78 $
Thepotemich [5.8K]
To find the unit rate you do

$1.39/8 oz.=.17

Then, you multiply the unit rate by the ounces

.17 * 14 oz. = $2.43
6 0
3 years ago
Who’s good at algebra &amp; can answer these with work??
AleksandrR [38]

Answer:

The answer to x2=25 is x=5

Step-by-step explanation:

When using factoring to solve this problem I just square rooted both numbers. The square root of x2 is x and the square root of 25 is 5. Sorry i couldn't help with all of them!

5 0
3 years ago
1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?
Nookie1986 [14]

1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?


Point Slope form y − y1 = m(x − x1)


Y1: -7 x1:1 slope :-2/3


Y-(-7)=-2/3(x-1)

Y+7=-2/3(x-1)


2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?


Y-(-6)=1/3(x-(-2))


Y+6=1/3(x+2)



3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)


SlopeM: =change in y/change in x

M= -1-5/-3-4

M= -6/-7

M=6/7


So now slope:6/7, point (4,5)

Y-y1=m(x-x1)

Equation in point slope

Y-5=6/7(x-4)



6 0
3 years ago
The circle below has center C, and its radius is 5 in. Given that m
yan [13]
What is the question bruh not everybody know what you talkin bout
7 0
3 years ago
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