Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i

Answer:

Statement: 60 = 3x + 15; Reason: substitution

(aka A)

Step-by-step explanation:

The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

Here,

We have to find the missing statement and missing reason.

What is Substitution method?

Substitution method is algebraic method to solve the linear equations .

Now,

Column 1 and column 2 are labeled here as;

Angle A D E = 60 degrees                ( entries given)

Angle C D F = (3 x + 15) degrees

Angle A D E and Angle C D F are vertical angles.  (definition of vertical angles)

Angle A D E is-congruent-to Angle C D F.  ( definition of congruency)

Measure of angle A D E = Measure of angle C D F.

⇒  60 = 3x + 15      ( substitution )

⇒  45 = 3 x            ( subtractive property )

⇒  15 = x             ( division property )

Hence, The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

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Step-by-step explanation:

Hey there!!!

Here,

The point is, (-3,1).

Using one point formula.

(y-1)= m(x+3)....1st equation.

It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.

Now, the equation with y = mx + c.

We get slope (m2) = 1/3.

Now,

As per the condition of perpendicular lines,

[tex]m1 \: \times m2 = - 1[/tex]

[tex]m1 \times \frac{1}{3} = - 1[/tex]

Simplifying them we get,

m1 = -3.

Therefore the slope is -3.

Hope it helps...

In the decimal form, 6.4

Answer:

6.4 in decimal form

Step-by-step explanation:

6.4 ×6.4 is nearly 41

Answer:

the mass is 75 kg

Step-by-step explanation:

80 KG

70m/s times forty=2800 divided by 80=35 +40=75

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

Answer:

additive inverse property

Step-by-step explanation:

(x)+(-x)=0

The additive inverse property states

a+ -a =0

Answer:

The absolute property.

Step-by-step explanation:

A number plus the opposite of the number will always equal 0.

The correct option will be the option b i.e., the maximum.

It is given that Joseph is earning an annual salary of $24,895. Later he is offered with an ad.

We have to choose the correct option i.e., the minimum or the maximum he would earn per month if he is paid.

What would be the value if x is added to 40 ?

The value will be 40 + x.

Let's assume Joseph is paid $ x for the ad.

Annual salary of Joseph $24,895.

The salary which he will get after the ad offer will be ;

= 24895 + x

So , the annual salary get's increased after the addition of salary of ad offer.

Thus , the maximum Joseph would earn per month and the correct option is option b.

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Answer:

ABC is congruent to A' B'C'

Step-by-step explanation:

All three sides are equal on triangle ABC and they are equal to the sides on A'B'C'

All three angles are equal on triangle ABC and they are equal to the angles on A'B'C'

We know that since the sides and the angles are equal

ABC is equal to A'B'C'

ABC is congruent to A' B'C'

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

Answer:

Step-by-step explanation:

Given formula

Solving for T

20cm^2 assuming that each box is one cm

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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Answer: 3x²-3y²+8xy

Step-by-step explanation:

When you multiply two factors, you want to use the FOIL method.

First

Outer

Inner

Last

(x+3y)(3x-y)                  [distribute by FOIL]

3x²-xy+9xy-3y²            [combine like terms]

3x²+8xy-3y²                 [rewrite]

3x²-3y²+8xy

Now, we know the product is 3x²-3y²+8xy.

Answer:

102^3 = (100+2)^3

= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*

{2^2})

= 1000000+8+60000+1200

= 1061208

Answer:

2,250

Step-by-step explanation:

negative times a negative equals a positive.

Answer:

-

Answer:

[tex]x=9[/tex]

Step-by-step explanation:

[tex]\frac{x}{24}=\frac{3}{8}[/tex]

Multiply both sides by 24:

[tex]\frac{24x}{24}=\frac{3\times24}{8}[/tex]

[tex]x=\frac{72}{8}[/tex]

[tex]x=9[/tex]

Answer:

14:6 is the same as 7:3

Step-by-step explanation:

both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal

Answer:

14:6

Step-by-step explanation:

When 2 is divided by the two numbers, 14 and 6, it will be 7:3.

Answer:

NO

Step-by-step explanation:

Answer:  (2x-y)^2

Step-by-step explanation:

The area of a square is given by the formula A = s^2.  

We know that the length of one side is s = 2x-y.  We can substitute this into our area equation:

A = (2x-y)^2

If you need to multiply out the answer:

A = (2x-y)(2x-y)

A = 4x^2-4xy+y^2

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

Answer:

x=-3/7

Step-by-step explanation:

multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7

Answer:

(-4 ,3)

Step-by-step explanation:

Point a lies on -4

Point B lies in between 2 and 4 so lets call it 3

Answer:

ITS BBBBB

Step-by-step

hope this heLPS

Answer:

Step-by-step explanation:

Let the number of hats be n. Then money made is

Profit for each hat:

Profit for n hats

Deduct cost of advertisement - 50

Option C is correct

0.5 inches a month.

I believe you subtract 13 1/4 by 10 3/4 = 2 1/2.

Then you divide by 5.