A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 6 and an angle \theta_1=70^{\circ}θ 1 ​ =70 ∘ theta, start subscript, 1, end subscript, equals, 70, degrees. Express z_1z 1 ​ z, start subscript, 1, end subscript in rectangular form, as z_1=a+biz 1 ​ =a+biz, start subscript, 1, end subscript, equals, a, plus, b, i. Round aaa and bbb to the nearest thousandth.

Answer:

x = 10

Step-by-step explanation:

I'm not entirely sure what you're asking, however we know that:

5x-6=44

5x must be 50, as 50-6=44

50 divided by 5 is 10, so 10x

Answer:

x=10

Step-by-step explanation:

Add 6 to both sides.

5x=44+6

Add 44 and 6 to get 50.

5x=50

Divide both sides by 5.

x= 50/5

Divide 50 by 5 to get 10.

x=10

Answer:

reeee :(

Step-by-step explanation:

Answer: $1.44

Step-by-step explanation: hope this helps please give me brainliest.

Answer:

D = [tex]\frac{n-5m^2}{5}[/tex]

Step-by-step explanation:

Given

n = 5(m² + D) ← distribute

n = 5m² + 5D ( subtract 5m² from both sides )

n - 5m² = 5D ( divide both sides by 5 )

[tex]\frac{n-5m^2}{5}[/tex] = D

The solution of the expression for the value of D will be D = (n - 5m²) / 5

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is n = 5(m² + D). The value of D will be calculated as below:-

n = 5(m² + D) ← distribute

n = 5m² + 5D ( subtract 5m² from both sides )

n - 5m² = 5D ( divide both sides by 5 )

(n - 5m²) / 5  = D

Therefore, the solution of the expression for the value of D will be D = (n - 5m²) / 5

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Answer:

(3,2)

Step-by-step explanation

Answer:

The amount, she needs to save each month for the remaining 18 months is $222.22

Step-by-step explanation:

The given information are;

The amount ShayAnn intends to save each year = $2,000

The total amount ShayAnn plans on saving = $6,000

The amount ShayAnn had saved six months into her junior year = $2,000

The number of months remaining for her to save towards her goal = 18 months

The amount she needs to save each month for the next 18 months to make her goal of $6,000 is given as follows;

The amount remaining to make her original goal = $6,000 - $2,000 = $4,000

The amount, X, she needs to save each month for the remaining 18 months is therefore;

X = (The amount remaining to make her original goal)/(The number of months remaining for her to save towards her goal)

X = $4,000/(18 months) = [tex]\$ 222.\overline 2[/tex]

∴ The amount, she needs to save each month for the remaining 18 months = $222.22.

Answer:

c.

Step-by-step explanation:

In order to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2), the steps to use are:

A graph is actually known to be a diagram which is used in mathematical problems to show or review the relationship that exists between two or more sets of numbers.

We see that in order to graph the given equation above, it is necessary to follow the steps outlined above.

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Answer:

The answer is -1/9

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

To find the slope you take the given slope (9) and flip the reciprocal which results it turning into 1/9.

Then make it the opposite value. Like switching a negative to a positive or a positive to a negative. For this case, you make 1/9 into a -1/9

Answer: 8

Step-by-step explanation:

A box plot has 5 data descriptions. The correct option is b, 8.

A box plot has 5 data descriptions.

As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.

Hence, the correct option is b, 8.

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Answer:

The graph is translated 5 units up

Step-by-step explanation:

Answer:

x= c/a-by/a

Step-by-step explanation:

Given :

Eddie went to a Nascar race and brought $55 with him to spend.

Admission cost him $35 and sodas were $6.25 each.

To Find :

A) Write an inequality that represents how many soda's Eddie can buy.

B) What is the greatest number of sodas Eddie can buy.

Solution :

A)

Let, after buying x soda cans money spend is y.

So, [tex]y=6.25x +35[/tex]

It is also given that maximum money he have is $55 .

So, 6.25x + 35 ≤ 55

B)

Now,

6.25x ≤ 20

x ≤ 3.2

i.e x ≤ 3

Therefore, greatest number of sodas Eddie can buy is 3.

Answer:

x=-7

Step-by-step explanation:

all you need is an algebra calculator

Answer:

x=-7

Step-by-step explanation:

T = 7

2+7+1=10 that is how you get it

Answer:

R,T,F, and X are Not Coplanar in the image provided.

Answer:

31%

Step-by-step explanation:

3/10 is the same as 30%

If 30% of the students liked English and 61% of the students like math, the difference can be found by using subtraction.

61% - 30% = 31%

Answer:

r=140

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 padlocks cost $25.20

Let the cost of a padlock be x

Then

A padlock costs $2.8

Answer:

10,500

Step-by-step explanation:

Answer:10500

Step-by-step explanation:10^4=10000. This number has 4 0's so move the decimal 4 places to the right

Answer:

A. x=5

can you also please mark me as brainliest?

Answer:

[tex]y=-\frac{2}{5} x+5[/tex]

Step-by-step explanation:

[tex]y-3=-\frac{2}{5} (x-5)[/tex]

Distribute [tex]-\frac{2}{5}[/tex] into [tex](x-5):[/tex]

[tex]y-3=-\frac{2}{5} x+2[/tex]

Add [tex]3[/tex] to both sides of the equation:

[tex]y=-\frac{2}{5} x+5[/tex]

Answer:

1.-13

2.-4

3. x=3

4. x= 12

5. 1

Step-by-step explanation:

Answer:

1.-3x+10

2.4(x+2)

3.-4x-1

4.-5x+7

5.2x+1

Step-by-step explanation: those are the only possible answers because

there are no like terms

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]

To make things easier, let's first start by rewriting [tex]\frac{1}{2}[/tex] as a decimal:

[tex].5(-10x+4)=-4(-3+2x)+8[/tex]

Distribute [tex].5[/tex] into [tex](-10x+4)[/tex]:

[tex]-5x+2=-4(-3+2x)+8[/tex]

Distribute [tex]-4[/tex] into [tex](-3+2x)[/tex]:

[tex]-5x+2=12-8x+8[/tex]

Combine like terms:

[tex]-5x+2=20-8x[/tex]

Add [tex]8x[/tex] to both sides of the equation:

[tex]3x+2=20[/tex]

Subtract [tex]2[/tex] from both sides of the equation:

[tex]3x=18[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]3[/tex]:

[tex]x=6[/tex]

_

Check your work by substituting [tex]6[/tex] into the initial equation:

[tex].5(-10(6)+4)=-4(-3+2(6))+8[/tex]

[tex].5(-60+4)=-4(-3+12)+8[/tex]

[tex]-30+2=12-48+8[/tex]

[tex]-28=-28[/tex]

The answer is correct!

Answer:

x = 6

Step-by-step explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( - ) × ( + ) = ( - )

Let us solve it now.

[tex]\sf \dfrac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]

Solve the brackets.

[tex]\sf -\dfrac{10x}{2} +\dfrac{4}{2} =+12-8x+8\\\\\sf -5x +2 =20-8x[/tex]

Add 8x to both sides.

[tex]\sf -5x+8x+2=20\\\\3x+2=20[/tex]

Subtract 2 from both sides.

[tex]\sf 3x=20-2\\\\3x=18[/tex]

Divide both sides by 3.

x = 6

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

FG = FH + HG ----¢ FG = 14 + 6 = 20

FG = 20

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

The answer is x³ + 4x² + x - 6.

Step-by-step explanation:

You have to expand it :

[tex](x - 1)(x + 2)(x + 3)[/tex]

[tex] = ( {x}^{2} + 2x - x - 2)(x + 3)[/tex]

[tex] = ( {x}^{2} + x - 2)(x + 3)[/tex]

[tex] = {x}^{3} + 3 {x}^{2} + {x}^{2} + 3x - 2x - 6[/tex]

[tex] = {x}^{3} + 4 {x}^{2} + x - 6[/tex]

The expression (x - 1) (x + 2) (x + 3) is written in form of ax³ + bx² + cx + d as;

⇒  (x - 1) (x + 2) (x + 3) = x³ + 4x² + x - 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is;

⇒  (x - 1) (x + 2) (x + 3)

Now, It can be solve by multiplying as;

The expression is;

⇒  (x - 1) (x + 2) (x + 3)

⇒ (x - 1) (x² + 3x + 2x + 6)

⇒ (x - 1) (x² + 5x + 6)

⇒ x³ + 5x² + 6x - x² - 5x - 6

⇒ x³ + 4x² + x - 6

Thus, By comparing with the equation of the form ax³ + bx² + cx + d , we get;

⇒ a = 1 , b = 4 , c = 1 and d = -1

Clearly, a, b and c are positive integers, and d is negative integer.

Hence, The expression (x - 1) (x + 2) (x + 3) is written in form of

ax³ + bx² + cx + d.

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Answer:

20 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

h = [tex]\sqrt{400}[/tex] = 20