Write the vector in component form.

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

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Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

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

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Answer:

The first option

Step-by-step explanation:

If you check the first one we can verify that WX and ZY are perpendicular as shown with the 90 degree mark then we can see that WX is parallel with AB.

Answer:

[tex] \sin(x) = \frac{16}{17} [/tex]

Step-by-step explanation:

sin = opposite/ hypotenuse

Answer:66.5 degrees

Step-by-step explanation:

Answer:

It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a

1

=12,q=−

2

1

So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a

n

=12⋅(−

2

1

)

n−1

Answer:

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

To learn more about the inequalities visit:

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Answer:

14/100

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

(Please vote me Brainliest if this helps!):

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

Answer:

i think the answer is 64 ounces

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

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Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

Step-by-step explanation:

x intercept is 1

y intercept is 2

Hope it helps

Answer:

6 cm3

Step-by-step explanation:

3 x 2 x 1 = 6

Answer:CD is 4

Step-by-step explanation: ham

Answer:

1,246,193 rounded to the nearest thousands is 1,246,000

Because the digit next to the thousands place (The hundreds place) is less that 5, it is 1 therefore you keep the digit the same in the thousands place and make the rest a 0.

Answer:

1,246,000

Step-by-step explanation:

1,246,193

The 6 is in the thousands place

We look at the hundreds place

1 is in the hundreds place,  Since it is 4 or less, we leave the thousands place alone.

1,246,000

Answer:

-0.1

...............................

Answer:

A Rectangle

Step-by-step explanation:

A longitudinal section means that the plane slicing the cylinder is vertical, just as a latitudinal section means that the slice is horizontal.

When you think about it, a flat slice of a cylinder in the vertical direction is a rectangle.

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle. Then the correct option is B.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If you were to take a longitudinal section from a long cylinder.

Then the shape we get will be

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle.

More about the cylinder link is given below.

https://brainly.com/question/3692256

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

Answer:

$123,200

Step-by-step explanation:

0.06 x 2 = 0.12

140,000 x 0.12 = 16,800

140,000 - 16,800 = 123,200

The original buyer paid the amount of $123,200 for the property.

The percentage is defined as a ratio expressed as a fraction of 100.

The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.

Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.

If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.

Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.

So, the original buyer paid the amount = 88% × $140,000 = $123,200

Therefore, the original purchase price was $123,200.

Learn more about the percentages here:

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Answer:

$4, 15 x 2=30

      2 x 2=4

Answer:

4 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

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

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Answer:

x=4.47213

I hope it's helps you