Reflect (-1, -1) over the y-axis.

Answer:

35.6

Step-by-step explanation:

Answer:

i. a = -6 ii. b = 12 iii. 100 iv. 26.6°

Step-by-step explanation:

Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j

So, since AP = ai + 8j and BP = 6i + bj,

AP + BP = -20j

ai + 8j  + 6i + bj = -20j

ai + 6i + 8j + bj = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

equating the components on both sids,

a + 6 = 0 and 8 + b = 20

a = -6 and b = 20 - 8 = 12

i. The value of a is -6

ii. The value of b is 12

iii. The magnitude of the tension in string AP is?

since AP = ai + 8j  = -6i + 8j

magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10

iv. The angle that string BP makes with the vertical is?

Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f

1) The values of a and b of the given vectors are respectively; -6 and 12

2) The magnitude of the tension in string AP is; 10

3) The angle that string BP makes with the vertical is; 26.6°

We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.

By equilibrium;

AP + BP = -20j

1) We are given the tension vectors;

AP = ai + 8j and BP = 6i + bj,

Thus;

ai + 8j  + 6i + bj = -20j

(ai + 6i) + (8j + bj) = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

Equating the components of both sides gives;

a + 6 = 0 and 8 + b = 20

Solving gives;

a = -6 and b = 20 - 8 = 12

Thus, the values of a and b are -6 and 12

2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;

AP = ai + 8j  = -6i + 8j

Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10

3) The angle that string BP makes with the vertical is gotten from;

BP = 6i + bj = 6i + 12j

Thus, the angle it makes with the horizontal;

θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°

Read more about Magnitude of Tension at; https://brainly.com/question/13370981

Answer:

Step-by-step explanation:

All the factors of 12

So 1, 2, 3, 4, 6 and 12 are factors of 12.

Answer:

answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day

Step-by-step explanation:

12,10| 2

6,5| 2

3,5| 3

1,5| 5

1,1

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

The x variable is isolated here as it's solo on left side

Solve the equations

Equate

x=10-1=9

Answer:

-4

Step-by-step explanation:

2 more than the product of 3 and a number is -10 can be written as 3x+2=-10.

we can take this equation and solve it, first subtracting 2 from both sides to get 3x=-12.

now we divide both sides by 3 to get x=-4, so the answer is -4.

Answer:

15 miles

Step-by-step explanation:

5 days times 3 miles per day.

the saturdat/Sunday skateboarding stuff is irrelevant to the question asked

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Step-by-step explanation:

pentagonal pyramid

cone

7

Answer:

f(x) is translated 1 units left to give g(x)

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x - 1)^2[/tex]

Required

How does f(x) transform to g(x)

[tex]f(x) = x^2[/tex]

When translated by b units left, it gives:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 1[/tex]

So:

[tex]g(x) = f(x - 1)[/tex]

If [tex]f(x) = x^2[/tex], then

[tex]f(x - 1) = (x - 1)^2[/tex]

Hence:

[tex]g(x) = (x - 1)^2[/tex]

This implies that; f(x) is translated 1 units left to give g(x)

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation:

Answer:

Parallelogram and Rhombus

These two quadrilaterals describe the figure

Answer:

36 cm²

Step-by-step explanation:

⇒c ≈ 5 cm

Sabc= (1/2)bcsin A ≈ 36 cm²

Answer:

33 I hope this helps good luck with the answer

Answer:

Choice D, the cube

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Because the box is a 4x5 so that's 20 and then the triangle is a 8x4 so 32 divided by 2 is 16 and finally 16 + 20 is 36

Answer:

c. no real solutions

Step-by-step explanation:

because:

1. 10+6x=15+9x-3x

6x+10=15+9x-3x

2. 6x+10=15+9x-3x

6x+10=15+6x

3. 6x+10=15+6x

6x+10=6x+15

4. 6x+10=6x+15

6x+10-10=6x+15-10

5. 6x=6x+5

6. 6x=6x+5

6x-6x=6x+5-6x

Then you get:

0=5

remember, If you want to know if an equation has no equation:

the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

I hope this helps      :)

y = 3x

x y

-2 -6

-1 -3

0 0

1 3

y = -2x +11

x. y

-1. 13

0 11

1. 9

2. 7

Answer: In  algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

Answer:

53

Step-by-step explanation:

86 = 2x - 20

+20       +20

106 = 2x

2       2

53 = x

Answer:

x = 53

Step-by-step explanation:

Those 2 are alternate interior angles. So that means they're the same

2x - 20 = 86     <-- Add 20 to the right side

2x = 106     <-- Divide by 2

x = 53

Answer:

Step-by-step explanation:

9 (10 - 3)

you use this to get rid of the number outside of the () in this case it'd be a 9

90 - 27

Answer:

C please give brainest!

Step-by-step explanation:

Add the ratios together:

5 + 2 + 1 = 8

Divide the length of NQ by that:

24/8 = 3

Multiply the ratio of NO by that/l

The ratio of NO is 5, 5 x 3 = 15

NO = 15

Answer:

$1.00

Step-by-step explanation:

5 (0.05) (4)= $1.00

hope this helps

Answer:

4.55

Step-by-step explanation:

Answer:

7

Step-by-step explanation: