multiply 2/7 with its additive inverse

Answers

Answer 1

To find the additive inverse, multiply 2/7 by -1.

Answer: -2/7.

Why is the answer -2/7?

When you add 2/7 + (-2/7) the answer will be 0.

This is why -2/7 is the additive inverse.

Related Questions

1) Write the sum or difference in the standard form a + bi. (2 points)
( 7 + 5i) - ( -9 + i)

a) 16+4i
b) -16-4i
c) 16-4i
d) -2+6i

2) Write the product in standard form. (2 points)
( 7 + 7i)( 6 + 7i)

a) -7 + 91i
b) 49i2 + 91i + 42
c) 91 - 7i
d) -7 - 91i

3) Find the product of the complex number and its conjugate. (2 points)
1 + 3i

a) 1 + 9i
b) 10
c) -8
d) 1-9i

4) Write the expression in standard form. (2 points)
three divided by quantity three minus twelve i.

a) - one divided by seventeen. + four divided by seventeen. i
b) one divided by seventeen. - four divided by seventeen. i
c) - one divided by seventeen. - four divided by seventeen. i
d) one divided by seventeen. + four divided by seventeen. i

5) Find the real numbers x and y that make the equation true. (2 points)
5 + yi = x + 3i

Answers

When performing addition and multiplication with constant numbers, we treat i as we would treat any variable x in an expression, with the same rules and properties of addition and multiplication.

1)

[tex]( 7 + 5i) - ( -9 + i)=7+5i+9-i=(7+9)+(5i-i)=16+4i[/tex]

2)
Distribute 7+7i over 6 and 7i:

[tex]( 7 + 7i)( 6 + 7i)=( 7 + 7i)\cdot6+( 7 + 7i)\cdot7i=42+42i+49i+49i^2[/tex]

collecting similar terms, and substituting [tex]i^2[/tex] with -1 we have:

42+91i-49=-7+91 i

3)

The conjugate of a complex number a+bi is a-bi;
the conjugate of 1+3i is 1-3i.

Thus, using the difference of squares formula we have

[tex](1+3i)(1-3i)=1^2-(3i)^2=1-9i^2=1-9(-1)=1+9=10[/tex]

4)

To write a rational expression ( with a complex number in the denominator) in the standard form, we multiply by the conjugate of the denominator both the numerator and the denominator:

[tex]\displaystyle{ \frac{3}{3-12i}= \frac{3(3+12i)}{(3-12i)(3+12i)}= \frac{9+36i}{3^2-(12i)^2} [/tex]

[tex]=\displaystyle{ \frac{9+36i}{9+144}= \frac{9+36i}{153}= \frac{9}{153}+ \frac{36}{153}i [/tex]

simplifying by 9, the complex number is finally written as

[tex]\displaystyle{ \frac{1}{17}+ \frac{4}{17}i [/tex]

5)

2 complex numbers a+bi, and c+di are equal only if a=c, and b=d. (Where a, b, c, d are real numbers.)

Thus, x=5, and y=3 is the solution to the equation.

Answers:

1) A
2) A
3) B
4) D
5) (x, y) =( 5, 3)

two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?

Answers

Final answer:

The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.

Explanation:

This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.

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Reflection : Across the line y = 1

Answers

What is the question supposed to be?

Reflecting across y = 1 means each point's position stays the same horizontally but mirrors vertically across the line.

When reflecting a point or shape across a line, y = 1,

it means that each point is mirrored on the other side of the line while maintaining the same distance from the line.

Here, the line y = 1 acts as a "mirror" or "axis of reflection."

To reflect a point (x, y) across the line y = 1, follow these steps:

Find the vertical distance between the point and the line y = 1. Let's call this distance "d."

If the point is above the line (y > 1), then d = y - 1.

If the point is below the line (y < 1), then d = 1 - y.

Move the point to the same vertical distance on the other side of the line y = 1.

If the point was above the line (y > 1), the new reflected point will be (x, 1 + d).

If the point was below the line (y < 1), the new reflected point will be (x, 1 - d).

Keep in mind that the x-coordinate remains the same in both cases since the line of reflection is vertical (parallel to the y-axis).

By repeating these steps for all points in a shape, obtain the reflection of the entire shape across the line y = 1.

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A restaurant bill before tax is 65.50.if the sales tax is 8% and the a 18% tip is added what is the total cost

Answers

Total $83.47

$65.50 + $5.24 (8%tax ) = $70.74
$70.74 + $12.73 (18%) = $83.47

F= 9/5C + 32, solve for F please.

Answers

I believe u would do it this way if it's wrong please let me know hope I helped and don't srew u up

Which statement is true about the difference 2√7-√28

Answers

It seems like there are answer choices but you forgot to post them. If you want to simplify then

2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4*7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4)*sqrt(7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - 2*sqrt(7)
2*sqrt(7) - sqrt(28) = (2-2)*sqrt(7)
2*sqrt(7) - sqrt(28) = (0)*sqrt(7)
2*sqrt(7) - sqrt(28) = 0

So the whole complicated expression simplifies to 0 (zero)

This is because sqrt(28) = 2*sqrt(7) when you simplify sqrt(28)

Side Note: "sqrt" is shorthand for "square root"

the table represent a linear function

X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4

Answers

the answer is three work is in picture

Answer:

The answer is 3.

Step-by-step explanation:

In order to determine the slope of the function, we have to know about linear function.

In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.

m=Slope of the linear function.

P1=(x1,y1)=First pair of coordinate.

P2=(x2,y2)=Second pair of coordinate.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, we have many pairs of coordinates, so we choose two of them:

[tex]P_1=(-1,1)\\P_2=(0,4)[/tex]

Then, we replace them in the slope formula:

[tex]m=\frac{4-1}{0-(-1)}=\frac{3}{1}=3[/tex]

Finally, the slope of the function is 3.

A pool is filled at a rate of 105 gal/min. What is the rate in mL per second?

Answers

Greetings!

(There are 3785.41 mL in a gallon.)
There are 60 seconds in minute. Therefore, if we divided the gallon per minute by 60, we can get the answer.

105/60
=1.75 gallon per second

1.75*3785.41
=6624.4675 mL per second

Hope this helps.
-Benjamin

How do i factor -1/2 out of -1/2x + 6

Answers

-1/2x + 6

-1/2(x - 12)

multiply -2 to the 6 so that when you multiply -1/2 into the expression it will turn into positive 6

hope this helps

A circle and a square have the same area. find the length of the diagonal of the square divided by the radius of the circle.

Answers

Let us say that the square have edge = sqrt(pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt(2).

Meanwhile the circle of radius 1 has area pi since area of circle is A = pi *radius^2.

Therefore we get that the diagonal of the square divided by the radius is:

diagonal / radius = pi*sqrt(2) / 1 = pi*sqrt(2)

2+1/6y=3x+4 solve for y

Answers

2+1/6y=3x+4 solve for y

Answer y=18x+12

2 + 1/6y = 3x + 4
× 6y throughout
12y + 1 = 18xy + 24y
Send 12y to the other side
12y + 18xy = 1
Y is common
y (12 + 18x) = 1
y = 1/ (12 + 18x)

Hope it helped!

You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your answer as a fraction in lowest terms.

Answers

The probability of choosing a red marble is 18/47.

JIMMMMMMMMMMMMMMMM :)

Answers

The completed chart is attached as an image

------------------------------------------------

Plug x = -2 into f(x) to get:
f(x) = 9*x + 7
f(-2) = 9*(-2) + 7
f(-2) = -18 + 7
f(-2) = -11

Do the same for g(x):
g(x) = 5^x
g(-2) = 5^(-2)
g(-2) = 0.04

----------------------------------------
Plug x = -1 into f(x) to get:
f(x) = 9*x + 7
f(-1) = 9*(-1) + 7
f(-1) = -9 + 7
f(-1) = -2

Do the same for g(x):
g(x) = 5^x
g(-1) = 5^(-1)
g(-1) = 0.2

----------------------------------------
Plug x = 0 into f(x) to get:
f(x) = 9*x + 7
f(0) = 9*(0) + 7
f(0) = 0 + 7
f(0) = 7

Do the same for g(x):
g(x) = 5^x
g(0) = 5^(0)
g(0) = 1

----------------------------------------
Plug x = 1 into f(x) to get:
f(x) = 9*x + 7
f(1) = 9*(1) + 7
f(1) = 9 + 7
f(1) = 16

Do the same for g(x):
g(x) = 5^x
g(1) = 5^(1)
g(1) = 5

----------------------------------------
Plug x = 2 into f(x) to get:
f(x) = 9*x + 7
f(2) = 9*(2) + 7
f(2) = 18 + 7
f(2) = 25

Do the same for g(x):
g(x) = 5^x
g(2) = 5^(2)
g(2) = 25

----------------------------------------

Write each of the results into the table (again see attached)

In the last row of that table, we have x = 2 lead to f(x) = 25 and g(x) = 25

So f(x) = g(x) has the solution of x = 2

The solution is x = 2 and not x = 25
25 is the output f(x) and g(x) value. It is not the x value.

Answer: choice C) x = 2

-11 1/25
-2 1/5
7 1
16 5
25 25

x = 25
(I'm guessing your suppose to find a common answer)
hope this helps

A shop makes $37.50 for selling 15 calendars. If the shop wants to make $2450, how many calendars does it need to sell?

Answers

First find the price per calendar.

37.50/15=$2.5 per calendar

Next find the amount of calendars by dividing the amount the shop wants to sell by the price per calendar.

2450/2.5=980 calendars

The shop needs to sell 980 calendars to make $2450.

To find out how many calendars the shop needs to sell to make $2450, we first determine the price per calendar by dividing the total amount made from selling a batch of calendars by the number of calendars in that batch. The shop makes $37.50 from selling 15 calendars, so each calendar is sold for $37.50 / 15 = $2.50. To reach the goal of $2450, we need to calculate the number of calendars by dividing the target amount by the price per calendar.

$2450 / $2.50 = 980 calendars

An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages of paper does the office use each week?

Answers

To solve this, you would divide 478 by 18, which equals 26.5555556. Since you can't have half a package of paper, the answer would be 26. Hope this helps!

The office uses 26 and a half package of papers.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Given that, An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each.

To find the number of packages of paper, the office use each week, we will divide the total paper used in one week to paper in 1 package

Therefore, the number of packages of paper, the office use each week = 478 / 18 = 26.5

That means they are using 26 package plus a half package in one week.

Hence, The office uses 26 and a half package of papers.

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A number sentence is said to be true if both numerical expressions are

Answers

if both expressions are equivalent (that is when both evaluate to the same number)

What is the definition of proof in geometry

Answers

I'm guessing just to show that you did your work to get the answer.

A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement. hope this helped:)

Use the converse of the pythagorean theorem to determine whether the triangle with the given vertices is a right triangle. (2, 1)(6, 4), (–4, 9)

Answers

hello :
let : A(2, 1) , B(6, 4) , C(–4, 9)
calculate : AB , AC, BC
AB = √((6-2)² + (4-1)²) = √25 = 5
AC= √((-4-2)² + (9-1)²) = √100 = 10
BC= √((-4-6)² + (9-4)²) = √125
by pythagorean theorem : BC² = AC² + AB²
the triangle is rectangle in : A

Is 1.34 a non-terminating decimal

Answers

if it is just 1.34, then it terminates.....1.34 = 1 34/100 = 1 17/50

terminates means ends.. so the answer to your question is no, 1.34 is a TERMINATING decimal

the total points scored in a basketball game can be calculated using the expression 3c - 3 if c = 41, how many points total were scored

Answers

Answer:

its actually 126

Step-by-step explanation:

Final answer:

The total points scored in the basketball game is 120 points.

Explanation:

To find the total points scored in a basketball game, we can use the expression 3c - 3. Given that c is equal to 41, we can substitute this value into the expression to calculate the total points.

So, 3c - 3 = 3(41) - 3 = 123 - 3 = 120.

Therefore, a total of 120 points were scored in the basketball game.

What is the area of the polygon below

Answers

I got A. 156 for this question.

147 thats the awnser

The length of a rectangle is 3 meters less than twice the width. if the area of the rectangle is 527 square meters, find the dimensions.

Answers

The rectangle is 17 meters wide and 31 meters long. To solve this problem, first work out the equation for the length of the rectangle. Using the information given, we find that length (L) is given by L=2W-3. Next we setup the formula for the area of a rectangle, A=(W)(L). We are told that the area is 527 sq. meters, so our equation is 527=(W)(L). We also know that L=2W-3, so we can plug that into the equation for area as well which gives us 527=W(2W-3), which can be written 0=2(W^2)-3W-527. We now need to solve this equation for W. Factoring the left side we get, 0=(W-17)(2W+31). Thus, either (W-17)=0 or (2W+31)=0 must equal zero. Solving these two equations, we get W=17 or W=-15.5. Since we are looking for the width (which is a length), we know it cannot be negative and therefore the width must be 17 meters. Now that we know the width, we can plug W=17 back into the equation for length (L=2W-3). Doing this give us L=2(17)-3 which is equal to 31. Thus the length is 31 meters.

Answer:

w=17

l=31

Step-by-step explanation:

correct

Cynthia besch wants to buy a rug for a room that is 18 ft wide and 30 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 220 square feet of carpeting. what dimensions should the rugâ have?

Answers

Since the strip around the outside of the rug will be uniform, the dimensions of the rug will have the form (18 - x) in width and (30 - x) in length, where x is equal to twice width of the strip. We can use this data to set up an equation. (18 - x) (30 - x) = 220 x^2 - 48 x + 540 = 220 x^2 - 48 x + 320 = 0 (x - 8) (x - 40) = 0 x = 8 or x = 40 Since x = 40 is too wide for the strip, the correct solution is x = 8 The width of the rug is: 18 - x = 10 feet The length of the rug is: 30 - x = 22 feet The dimensions of the rug are 10 feet x 22 feet. Note that the area is equal to 220 square feet.

what is the sum of the measures of interior angles of a 15-sides polygon

Answers

using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°

Answer:

2340

Step-by-step explanation:

A P E X

Which does not describe the same situation?

Answers

Answer:

4. Option 3rd.

Step-by-step explanation:

In this question, three options are given.

We need to describe the same situation.

First option: y = 3 + 6x

this equation represent the equation of a line. In that line all the points are related with each other with same relation.

So, this equation describe the same situation.

Second equation:

y is two more than six times x.

We write this situation in equation form.

y = 6x + 2

this is also describe the same situation.

Third option:

this table shows the x-y relation table.

Here no two points are describe the same situation.

So, option 3rd doesn't describe same situation.

Question 5:

Please share the options

Answer:

Step-by-step explanation:

It is A

How to find the domain of a composite function?

Answers

The domain of the inside function exists, and then an analysis of the outside function may yield an extra restriction to the domain.

A girl takes 6 hours to ride 38.4 kilometers what is her speed

Answers

I'm not sure but i think its 6.4km per hour

6.4 km an hour. I hope that Helps.

Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)

Answers

3x - y = -4
- 3x - 3x
-------------------
y = -3x - 4

Slope: -3
Opposite Reciprocal Slope: 1/3

Given: (-2,4)

Point Slope Form: y - y₁ = m(x - x₁)
y - 4 = 1/3(x + 2)
y - 4 = 1/3x + 2/3
+ 4 + 4
-----------------------------
y = 1/3x + 14/3

When constructing inscribed polygons and parallel lines, how are the steps different?

A.) A protractor is used to take measurements.
B.) Four right angles are created.
C.) A compass is used to copy an angle.
D.) There are no differences.

Answers

A compass is used to copy an angle.

The answer is C.

The answer is C.
hope this helps:D

plz give me brainiest

Prove that acceleration is perpendicular to velocity

Answers

what are the answers

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