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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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Y=-3x+6 y=9 What is the solutions to the system of equations?
Damm [24]

Answer:

(- 1, 9 )

Step-by-step explanation:

One of the equations gives y = 9, the y- value

To find the value of x, substitute y = - 3x + 6 , that is

- 3x + 6 = 9 ( subtract 6 from both sides )

- 3x = 3 ( divide both sides by - 3 )

x = - 1

Solution is (- 1, 9 )

3 0
3 years ago
The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. The solutio
Solnce55 [7]

Answer:

Step-by-step explanation:

Given that the solution of a certain differential equation is of the form

y(t) = ae^{7t} +be^{11t}

Use the initial conditions

i) y(0) =1

1=a(1)+b(1)\\a+b=1 ... I

ii) y'(0) = 4

Find derivative of y first and then substitute

y'(t) = 7ae^{7t} +11be^{11t}\\y'(0) =7a+11b \\7a+11b =4 ...II

Now using I and II we solve for a and b

Substitute b = 1-a in II

7a+11(1-a) = 4\\-4a+11 =4\\-4a =-7\\a = 1.75 \\b = -0.75

Hence solution is

y(t) = 1.75e^{7t} -0.75e^{11t}

8 0
3 years ago
Read 2 more answers
Find the area and perimeter of the shaded figure
puteri [66]

Answer:

Area - 6 unit^2   Perimeter - 10 units

Step-by-step explanation:

The shaded figure is 3 units long and 2 units high.

L = 3  W = 2

A = LW

A = 3 x 2 = 6 unit^2

Perimeter = 2L + 2W

P = 2(3) + 2(2)

P = 6 + 4 = 10 units

6 0
3 years ago
Can someone help plz
olchik [2.2K]

Answer:

A.) 2x - 9x - 30 = -6

Step-by-step explanation:

hello !

to solve this system of equations, first, we substitute the equation y = 3x + 10 to the <em>y </em>variable in the equation 2x-3y = -6. Therefore, we get:

2x - 3(3x+10)=-6

now, we simplify by multiplying -3 to the variables inside the parenthesis, which, in short, is also called the distributive property. thus, we get:

2x - 9x - 30 = -6

4 0
3 years ago
Solving Rational Equations. LCD Method. Show work.<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5x%7D%20%2B%5Cfrac%
Svet_ta [14]

using the LCD method.... well, there are a couple of ways, but let's simply add them up.

well, the denominators are 5x and 2x... so the only LCD will just be 10x, since it's divisible by both, so let's use that one.

\bf \cfrac{2}{5x}+\cfrac{7}{2x}=1\implies \stackrel{\textit{LCD of 10x}}{\cfrac{(2)2~~+~~(5)7}{10x}}=1\implies \cfrac{4+35}{10x}=1\implies \cfrac{39}{10x}=1 \\\\\\ 39=10x\implies \cfrac{39}{10}=x\implies 3\frac{9}{10}=x

5 0
3 years ago
Read 2 more answers
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