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4 years ago

Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of vector PQ.

Mathematics

2 answers:

nydimaria [60]4 years ago

7 0

The answer above is missing the component form

The way to find Component form is by using V=<Q1-P1, Q2-P2>

P1=5

P2=9

Q1=13

Q2=12

V=<13-5,12-9>

V=<8,3>

The component form is <8,3>

Delvig [45]4 years ago

5 0

To calculate for the magnitude of vector PQ, what needs to be done is to determine the distance between them through the two-point equation which is shown below.

d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the known values,
d = sqrt ((13 - 5)² + (12 - 9)²)
The value of d from the equation is sqrt of 73 or 8.54.

Therefore, the magnitude of the vector is equal to 8.54.

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3 years ago

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maria [59]

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8 0

4 years ago

Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 t

KonstantinChe [14]

Answer:

first evening = 21 phone calls

second evening = 11 phone calls

third evening = 84 phone calls

Step-by-step explanation:

Total phone calls = 116

Let

Number of calls in the first evening = x

The second evening = x - 10

The third evening = 4x

Total phone calls = first evening + second evening + third evening

116 = x + (x - 10) + 4x

116 = x + x - 10 + 4x

116 + 10 = 6x

126 = 6x

x = 126 / 6

x = 21 phone calls

Number of calls in the first evening = x

= 21 phone calls

The second evening = x - 10

= 21 - 10

= 11 phone calls

The third evening = 4x

= 4(21)

= 84 phone calls

3 0

3 years ago

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Nikolay [14]

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

$3x+(3)(x)+(y)(3)$

$=3x+3x+3y$

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

7 0

3 years ago

Orion is constructing a rectangular box. The base of the box is a piece of wood with an area of 90 square inches. The volume of

gladu [14]

The volume of a rectangular prism is the product of the three dimensions.

The width and length give the base area, which is 90.

So, if we multiply the base area and the height, we get the volume:

$w\cdot l\cdot h = V \implies h = \dfrac{V}{w\cdot l}$

We know that V=1080 and w*l (i.e. the base area) is 90. So, we have

$h=\drac{1080}{90}=12$

5 0

3 years ago