Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP

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:

J) is multiplied by 4

Step-by-step explanation:

Answer:

−7   1/2

Step-by-step explanation:

     1

-7  2

Answer: -0.83333333333

Step-by-step explanation:

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

Answer:

2:3

2:5

Step-by-step explanation:

10:15

divide both sides by 5 or gcf

2:3

16:40

divide both sides by 8 or gcf

2:5

Answer:

0.01

Step-by-step explanation:

0.01×100=1

hope this helps

Answer:

0.01

Step-by-step explanation:

0.01 is the same as 1/100, and 1% is also the same as 1/100

Answer:

N58°W

Step-by-step explanation:

The trigonometry diagram has been attached below :

To obtain the angle θ ;

Tan θ = opposite / Adjacent

Tan θ = 40 / 25

Tan θ = 1.6

θ = tan^-1(1.6)

θ = 57.99°

Henve, bearing directly to Port is :

N58°W

9514 1404 393

Answer:

  (d)  3:2

Step-by-step explanation:

Usually, when we say two objects are related by a scale factor, we are talking about the linear dimensions  of the objects. Here, we're concerned with the ratio of diameters. The diameter is a linear dimension of the sphere, so the ratio of diameters is the same as the scale factor:

  3:2

Answer: $36 is discounted from the regular price

Step-by-step explanation:

First, we need to take our given numbers

Originally $90

On sale for %40

Let's now use this equation

90(n)

n will equal 0.40 due to it being %40 off

90(0.40)

$36

Answer:

there are multiple 0's in the same area, and multiple 2's.

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are websites such as

mathpapa

algebra tiger - favorite

and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered

Answer:

90.25π

Step-by-step explanation:

The circumference of circle is 2πr, or in other words the diameter times π.

The area of a circle is πr^2.

19π is the circumference of this circle.

So, 19 is the diameter, and 9.5 the radius.

The area if (9.5^2)π.

9.5^2=90.25

So, in terms of π, the area of the circle is 90.25π.

Answer:

8x-8

Step-by-step explanation:

10x-2x=8x

-3-5=-8

Hey There! Not sure what pyramid you're talking about But I can help you by explaining how to solve the volume of a pyramid. The Formula of a pyramid is 1/3 x base area x height. So, you can multiply 1/3 or 0.33333333 (Decimal version of 1/3) by the base than multiply it with the Height. Hope this helps! Also, perhaps next time put what pyramid you are talking about!

Answer:

It's C

Step-by-step explanation:

Write f(x)=7x−6f(x)=7x-6 as an equation.

Interchange the variables.

Solve for y.

Answer:

C: Translation and dilation.

Step-by-step explanation:

C: Translation and dilation.

The translation moves it to the same space while the dilation retains the shape but makes it larger/smaller.

the answer to your question is C

Answer:

x>15

Step-by-step explanation:

it eats the bigger number

Answer:

y= -1/3x-6

Step-by-step explanation:

The slope is rise over run

The y-intercept is the point where the line crosses the y-axis.

If this helped please consider giving brainliest.

Answer: y=.25x-6

Step-by-step explanation: find the slope with [tex]m=\frac{y2-y1}{x2-x1}[/tex] and make it [tex]m=\frac{-6+7}{0-4} =1/4[/tex] or .25

then, convert to y=mx+b form which would be [tex]y=\frac{1}{4}x-6[/tex] or [tex]y=.25x-6[/tex]

b standing for y intercept and m standing for slope.

Answer:

4

Step-by-step explanation:

if 4 $ is what it cost for 7yds than under seven yds (where) the red box is needs how much 7 costs

Answer:

f(x)=-3(x-8)(x+2)

Step-by-step explanation:

f(8)=-3(8-8)(8+2)=-3×0×10=0

f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0

f(0)=-3×(0+8)×(0+2)=-3×8×2=-48

Answer:

y=5/4x+10

Have a nice day.

Answer:

5/4x + 10

Step-by-step explanation:

If it's parallel, the slope will remain the same.

To find the y-intercept, you have to plug in the coordinates into the equation which is, y = 5/4x + b.

y = 5/4x + b

0 = 5/4 (-8) + b

0 = -10 + b

10 = b

The equation is 5/4x + 10.

Answer: her increase is 1.245 dollars an hour

Step-by-step explanation:

Answer:

(x - 2) (x - 4)

Step-by-step explanation:

-2 & -4 are a factor of -8 and a sum of -6

-2 x -4 = -8

-2 + -4 = -6

Therefore the answer is (x - 2) (x - 4)

Answer:

x = 39

Step-by-step explanation:

In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:

AE = 12, EB = x - 3

AD = 6, DC = 18

Now, you need to find the scale factor by dividing 18 by 6:

18 ÷ 6 = 3

So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:

12 × 3 = x - 3 (given)

36 = x - 3 (simplify)

x = 39 (add 3 to both sides)

So x = 39.

Answer:

The correct answer is "550". A further explanation is given below.

Step-by-step explanation:

The given values are:

Selling price,

= 450

Loss,

= 10%

Profit,

= 10%

As we know,

⇒  [tex]CP=\frac{100}{100-Loss \ percent}\times SP[/tex]

On substituting the values, we get

⇒         [tex]=\frac{100}{100-10}\times 450[/tex]

⇒         [tex]=\frac{100}{90}\times 450[/tex]

⇒         [tex]=500[/tex]

⇒  [tex]Profit=500\times \frac{10}{100}[/tex]

⇒              [tex]=50[/tex]

Now,

Selling price on 10% profit will be:

⇒  [tex]SP=CP+profit[/tex]

On substituting the values, we get

⇒        [tex]=500+50[/tex]

⇒        [tex]=Rs. \ 550[/tex]

Answer:

A

Step-by-step explanation:

Answer:

8 have a great day hope this helped