solve this question please: x² = -169​

Answers

Answer 1

Answer:

13i, -13i

Step-by-step explanation:

To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions


Related Questions

A band marches in the African American Day Parade in New York City. The band marches 800 meters every 15 minutes. At this rate, how many kilometers does the band march in 1 hour?

Answers

3.2 Kilometers


reasoning:

there are 1000 meters in a kilometer. If they march 800 meters in 15 minutes, in 60 minutes they will march 3200 meters (800x4) . You then divide 3200 by 1000 to get 3.2 kilometers

The band will march 3.2 kilometers at the same rate.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

800 meters for every 15 minutes

800 meters  ⇔ 15 minutes

Multiply 4 by both sides

3200 meters ⇔ 60 minutes

Now,

60 minutes = 1 hour

And,

Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.

So,

1 hour ⇔ 3.2-kilometer.

Hence "The band will march 3.2 kilometers at the same rate".

For more information about ratio and proportion,

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square root of 50
Rational
Irrational
Rational , integer, whole number
Integer
Whole nmber
Rational , integer
None of the above

Answers

Answer:

7.05 simplified rational

Answer:

irrational number

Step-by-step explanation:

A true conditional statement is below.
"If two angles form a linear pair, then the
two angles are supplementary."
Which of the following statements is false?
I.
If two angles are supplementary,
then they are a linear pair.
II.
If two angles are not a linear pair,
then they are not supplementary.
III. If two angles are not
supplementary, then they are not a
linear pair
A. I and III only
B. II and III only
C. I and II only
D. I, II, and III

Answers

Answer:

I and II only

Step-by-step explanation:

Nick went on a bike ride to the store 5 miles away. If it took Nick of an hour to get there and ſof an
hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
(Hint: To find the average, divide the total distance by the total duration.)

Answers

s = d/t
nick avg speed = s = 10/(1/5 + 2/5)
s = 10/(3/5)
s = (10*5)/3
s = 50/3
s = 16.6666666
---
answer:
s = 16.67 mph

Answer:

11.1

Step-by-step explanation:

Can you guys help me? Plz

Answers

Answer:

x = 0 hopefully this helps

PLEASE HELP I DONT HAVE LONG

Answers

THE CORRECT ANSWER HAPPENS TO BE 2

Answer:

The answer is A. 2

Step-by-step explanation:

The data values 8 - 10 is 2 because there are only 9 and 10.

Hope it helps :)

Which relationship is always true for the angles x, y, and z of triangle MNP?

Answers

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

I
The sum of a number and 9.4

Answers


Given
N = number
9.4

Since it says sum, that means we have to add
N + 9.4

The sum of x and 9.4 will be x + 9.4.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Saying sum x with 9.4 means we need to add x and 9.4

So,

⇒ x + 9.4

Hence "The sum of x and 9.4 will be x + 9.4".

To learn more about the arithmetic operators,

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helpppp plssssss :(

Answers

You can tell b (y=mx+b) by the number it intersects on the y axis. So the line goes through 8 on the y axis. Therefore, we can eliminate D. The line is going to the left, so it’s negative, meaning we can eliminate C. The answer is A because the slope is -1/4.

Pls help work due in 10 min What is 0.000005 in scientific notation

Answers

Answer:

5 × 10 ^ -6

to get the answer move the decimal in 0.000005 to 5 which 6 place forward

which can also be written as 5 × 10 ^ -6

hope it helps

5×10- 6

Step-by-step explanation:

because we are converting decimal into scientific notation

is number 6 integers, irrational, or real number, or whole number

Answers

Answer:

Hey there!

6 is an integer, whole number, and real number.

Let me know if this helps :)

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply. -The expression 50ℎ represents the total charge for Rock the House Digital Designs. -The expression 75ℎ represents the total charge for Elegance Home Architects. -The cost for using Rock the House Digital Designs for an initial consultation only is $550. -If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper. -If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answers

Answer:

The expression 75ℎ represents the total charge for Elegance Home Architects.

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Given the following :

Rock the house digital designs :

Initial consultation charge = $500

Additional hour of work for house plan = $50 /hr

Elegant Home Architect:

Charge = $75 / hr

h = number of hours fro which Johnson's family hires the design firm

Total amount charged by Elegant home Architect = 75 × h = 75h

Total amount charged by Rock the house digital design = (500 + 50h)

If h = 15 hours :

Total amount charged by Elegant home Architect = 75 × 15 = $1,125

Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250

Hence, Elegant home Architect is cheaper.

If h = 40 hours :

Total amount charged by Elegant home Architect = 75 × 40 = $3,000

Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500

Hence, Rock the house digital design is cheaper.

whats 4000 x48. i'm to lazy to use a countulater

Answers

Answer: 192,000

Step-by-step explanation:

A train travels at a constant rate. If the train travels 496 miles in
8 hours, how many miles does the train travel in 1 hour?

Answers

Answer:

It is 62 miles.

Step-by-step explanation:

Hope this helps! :)

Answer:

62miles in one hour

Step-by-step explanation:

First, you have to identify your miles and you hour.

496 miles in 8 hours.

This automatically implies division because we want to know how far the train goes in 1 hour

Divide 496 by 8

Answer is 62 miles in one hour.

Can anyone help me with this? I've been stuck on this question for some time-

Answers

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

[tex]\angle DHF+\angle CHF=180[/tex]

We already know that Angle CFH is 119. Substitute:

[tex]\angle DHF+119=180[/tex]

Subtract 119 from both sides:

[tex]\angle DHF=61[/tex]

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH must also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

[tex]\angle BGE+\angle BGH=180[/tex]

Find Angle BGE. Substitute 61 for BGH:

[tex]\angle BGE+61=180[/tex]

Subtract 61:

[tex]\angle BGE=119[/tex]

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

[tex]\angle B+\angle BGE+\angle E=180[/tex]

Substitute 18 for B and 119 for BGE. Thus:

[tex]18+119+\angle E=180[/tex]

Add:

[tex]137+\angle E=180[/tex]

Subtract:"

[tex]\angle E=43\textdegree[/tex]

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)

7. Solve the equation r cubed = 216.

Answers

Answer:

6

Explaination:

r^3=216

r= cuberoot(216)

r= cuberoot(6x6x6)

r=6

6
216//
cubed root 6*6*6 = 216

same side exterior angles if m<1=4x+15 and m<8=3x+11, solve for the value of x

Answers

Answer:

x = 22

Step-by-step explanation:

same- side exterior angles are supplementary, thus

4x + 15 + 3x + 11 = 180, that is

7x + 26 = 180 ( subtract 26 from both sides )

7x = 154 ( divide both sides by 7 )

x = 22

A skier is trying to decide whether or not to buy season ski pass. Daily pass cost $77.. A seasons pass cost $400.. this year would have to rent skis with either pass for $30 per day. How many days with the skier have to go skiing in order to make the season pass less expensive than the daily pass

Answers

Answer:

4 days

Step-by-step explanation:

77+30=107

400/107=3.73

Which of the following pairs of fractions consists of 5/8 and 17/24 rewritten with a common denominator? A. 1524 and 1724 B. 2036 and 1736 C. 2536 and 3436 D. 2024 and 1724

Answers

Answer:

[tex] \frac{5}{8} \frac{17}{24} [/tex]

[tex] \frac{15}{24} \frac{17}{24} [/tex]

The answer is A

Answer:

A

Step-by-step explanation:

Help pllzzzz !! .....

Answers

Answer:

image = A = 35×35

preimage = B = 28×28

Scale factor = image/preimage

=

[tex] \frac{35}{28} \times \frac{35}{28} [/tex]

=

[tex] \frac{5}{4} \times \frac{5}{4} [/tex]

= 25/16

=

Write 20.65 in expanded notation

Answers

Answer:

2 * 10 + 6 * .1 + 5 * .01

Step-by-step explanation:

The sum of 4 consecutive odd integers is equal to zero. Write an equation to model the sentence.

Answers

Answer: X + (X + 2) + (X + 4) + (X + 6) = 0

Step-by-step explanation:

We were already given the sum of four consecutive integers. Consecutive means coming after another. Let's first define our first consecutive odd number as X. Since it says consecutive odd integers, there is a difference of 2   between two odd numbers. We keep on adding 2 to the value of X, since they asked for four consecutive odd integers, so we get the 4 values of X,  (X+2), (X+4), and (X+6). Once we put this in an equation, we get X + (X + 2) + (X + 4) + (X + 6) = 0.

The equation that models the sentence is :  x + (x + 2) + (x + 4) + + (x + 6)  = 0.

An odd number is a number that cannot be divided into half without any remainders. Examples of odd numbers are 1,3, 7, 11.

For example when 11 is divided in half, its value is 5.5

Consecutive odd numbers are odd numbers that follow each other. Examples are 1, 3, 5.

Consecutive odd numbers increase by 2

In order to model the sentence, let x represent the first odd number

Second odd number = x + 2

Third odd number = x + 4

Fourth odd number = x + 6

The equation is: x + (x + 2) + (x + 4) + + (x + 6)  = 0

To learn more about odd numbers, please check: https://brainly.com/question/20432427?referrer=searchResults

The price of an item is reduced by $1.39. The new sale price is $92.44. What is the original price

Answers

Answer:

92.44 + 1.39 = $93.83

Step-by-step explanation:

Since it was reduced by a certain amount, simply, add it back!

4x-20=mx-5m. find m​

Answers

Answer:

[tex]m=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4x-20=mx-5m[/tex]

First, factor out a m from the right:

[tex]4x-20=m(x-5)[/tex]

Divide both sides by x-5:

[tex]m=\frac{4x-20}{x-5}[/tex]

Factor out a 4 in the numerator:

[tex]m=\frac{4(x-5)}{x-5}[/tex]

The (x-5)s cancel. Thus:

[tex]m=4[/tex]

The value of m is 4 :)

The Wilson family had a family portrait framed for their living room. The frame measures 45 inches long and 37 inches wide. Which is a reasonable value for how much wall space the portrait will cover?
A. 12 ft
B. 12 ft2
C. 14 ft
D. 14 ft2​

Answers

Answer:

12ft²

Step-by-step explanation:

The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.

Given

Length of the frame = 45in

Width of the frame = 37in

Required

Area of the frame

Area of the rectangular frame = Length * Breadth

Area of the rectangular frame = 45in * 37in

Given 1feet = 12in

45in = 45/12 ft=  3.75ft

37 in = 37/12 ft = 3.083 ft

Area of the frame = 3.75ft * 3.083 ft

Area of the frame = 11.56ft²

Area of the frame ≈ 12ft²

Name the types of angles shown.

Check all that apply.

A. Complementary angles

B. Straight angle

C. Right angle

D. Supplementary angle

Answers

Answer:

supplementary and straight

Step-by-step explanation:

1. angle D and angle B add up to make a 180 degree angle so they are supplementary.

2. A and C each equal 180 degrees (straight angle= 180 degrees)

D. supplementary angles, C. right angle ,B. straight angle

how do you write a domain as an equation?

Answers

Answer: Answer

Step-by-step explanation: The domain of a function is all possible set inputs for a function. For example, if the function was {(10, 20), (10, 50), (11, 30)}, then the domains would be 10 and 11. Basically it is the first x value of each set.

(19) Larry can run a mile in 9 minutes. At the same pace, can he run 26 miles in 3
hours?

Answers

He would be able to run 26 miles in 3.9 hours with a 9 minute mile pace

what is the product of a number and 20 is 75 ​

Answers

Answer:

20(x)=75

Step-by-step explanation:

x= unknown number

product= multiplication equation

It takes 2 cups of sugar to bake 10 cookies. How many cups of sugar will it take to bake 30 cookies

Answers

2 for 10, so 6 for 30
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