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Kisachek [45]
3 years ago
6

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

<1 ,1>..., square root of two

Step-by-step explanation:

Component of vector PQ...,

; Q - P...where you subtract the x coordinate of Q by the x coordinate of P and the same for the y coordinate

; <(6-5),(9-8)>

; < 1,1 >

And the magnitude of PQ...,

;square root of( 1^2 + 1^2 )

;square root of 2

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If it takes 7lb of flour to make 3 loaves of bread, how much flour is needed to make 7 loaves of bread?
Lunna [17]

Answer:

16 1/3 lbs

Step-by-step explanation:

We can write a ratio to solve

7 lbs             x lbs

-------------- = -------------

3 loaves          7 loaves

Using cross products

7 * 7 = 3x

49 = 3x

Divide each side by 3

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3 0
2 years ago
Read 2 more answers
What is the sum of 16 quotient of 3
marysya [2.9K]
X + y = 16 (1)
x/y = 3 (2)
-------
x + y = 16 
x = 16 - y
1. Substitute x into equation 2 
16-y/y = 3 
16 - y = 3y 
16 = 4y
y = 4 
2. Now substitute y into equation 1 
x/y = 3 
x/4 = 2
x = 12 
Therefore, x = 12, y = 4
8 0
2 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters,
Arisa [49]

; 134

a:8

n:44

3.6

3.6

P,ob.Z);Jlty : 1 - P(:

<z<-

[ - ]]p(-2.98 ' z ' 2.98)]

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[ - E0.9986 - 0.0014]

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2 years ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

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Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
Write "x is less than or equal to zero" three different ways.
garik1379 [7]
The expression "x is less than or equal to zero" can be written in several forms; some examples, however, could be:

x ≤ 0
0 ≥ x
(You could substitute any number in place of 3 for the below)
3 - 3 ≥ x
3 0
3 years ago
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