10. x² + 169 = 0

Algebra 2

Answers

Answer 1

Answer:

13i, -13i

Step-by-step explanation:

x^2=-169

169=(13)^2

x^2=-(13)^2

the square root of -1 is i ( imaginary number )

(-13)^2=(13)^2 so x is 13i and -13i

Answer 2

Answer:

13i

Step-by-step explanation:

So I would solve for x

This is zero term factoring

This is a square root factor and 169's square root is 13.

However we need to factor -169

This is where imaginary numbers come in. i= Square root of -1

13i would be the answer


Related Questions

please help which of the following statements could be a function?

Answers

Answer:

The first one height vs shoe size.

Step-by-step explanation:

Let's evaluate each choice

1) Generally, it is possible that the taller a person is, that his/her shoe size would generally get bigger also. Hence we can say that it is possible that there is a function correlation between height and shoe size.

2) hair length can be cut down short or left long regardless of the height of a person, so we cannot say for sure that hair length correlates with height. Hence this is probably not a function)

3) hair color has no bearing on a persons age. hence this is probably not a function.

4) student ID number doesn't depend on the name of the student. Hence this is probably not a function.

a game decreased in price by 1/4 after the reduction it was price at £36 what was the original price

Answers

The original price was £48

Please help!!! Look at image. Excuse my answers I’m not sure if there right.

Answers

17-
Quotient: 6x+2
Remainder: 20/x^2+3 (20 over x to the power of 2 plus 3)

18-
Quotient: x^2+3 (x to the power of 2 plus 3)
Remainder: 6/4x^2+2 (6 over 4 x to the power of 2 plus 2)

After 4 days, a plant is measured to be 10 inches tall. Later, after a total of 20 days, then height is measured to be 18 inches. What is the rate of growth for the plant? This is supposed to be for slopes in Algebra 1.

Answers

Given :

After 4 days, a plant is measured to be 10 inches tall.

Later, after a total of 20 days, then height is measured to be 18 inches.

To Find :

The rate of growth for the plant.

Solution :

We know, rate is given by :

[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]

Therefore, rate of increase of height is 0.5 inch/day .

Hence, this is the required solution.

take the horse to overtake the
17. A car completes a journey at an average speed of 40 km/h. At what
speed must it travel on the return journey if the average speed for the
complete journey (out and back) is 60 km/h?
Help

Answers

Answer:

120 km/h

Step-by-step explanation:

Speed in one direction = 40 km/hSpeed on return = xAverage speed = 60 km/h

Let the distance be d

Average speed

2d/(d/40 + d/x) = 60d/40 + d/x = 2d/601/40 + 1/x = 1/301/x = 1/30 - 1/401/x = (4-3)/1201/x = 1/120x = 120 km/h

The graph shows the distance Liam traveled from school in miles (y) as a function of time in seconds (x). The graph is divided into four segments labeled P,Q,R, and S. Please answer fast!

Answers

Answer:

Step-by-step explanation:

P

Answer:

Answer is P

Hope this helps :)

Step-by-step explanation:

a rotation of 270 degrees follows which notation?
(x,y) -> (x, -y)

(x,y) -> (y, x)

(x,y) -> (-x, y)

(x,y) -> (y, -x)

(x,y) -> (-x, -y)

(x,y) -> (-y, x)

Answers

(-x,y) I believe (extra characters)

Mateo has 7/ 2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can Mateo make? Enter your answer in the box as an improper fraction.

Show or explain your work.

Answers

Answer:

2 batches

Step-by-step explanation:

I will give no explanation

Answer:

Step-by-step explanation:

Draw a tape diagram then just dived them and you get 2 batches

4. How many mugs could you make with 360 spoonfuls of cocoa mix?​

Answers

Answer:

79

Step-by-step explanation:

because i said so

Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))

Answers

Answer:

Part 1):

[tex]f(g(6))=19[/tex]

Part 2):

[tex]g(f(-7))=-34[/tex]

Part 3):

[tex]f(f(8))=224[/tex]

Part 4):

[tex]g(f(x))=5x+1[/tex]

Step-by-step explanation:

Considering the function

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

Part 1)

To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]

so

[tex]g(x) = x - 3[/tex]

Put x = 6

[tex]g(6) = 6 - 3[/tex]

[tex]g(6) = 3[/tex]

Then  

[tex]f(g(6))=f(3)[/tex]

[tex]=5(3)+4[/tex]

[tex]=19[/tex]

Therefore, [tex]f(g(6))=19[/tex]

Part 2)

To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]

so

[tex]f(x) = 5x + 4[/tex]

Put x = -7

[tex]f(-7) = 5(-7) + 4[/tex]

[tex]=-35+4[/tex]

[tex]=-31[/tex]

Then  

[tex]g(f(-7))=g(-31)[/tex]

[tex]= (-31) - 3[/tex]

[tex]=-34[/tex]

Therefore, [tex]g(f(-7))=-34[/tex]

Part 3)

To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]

[tex]f(x) = 5x + 4[/tex]

Put x = 8

[tex]f(8)=5(8)+4=40+4=44[/tex]

Then

[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]

Therefore,

[tex]f(f(8))=224[/tex]

Part 4)

Evaluate

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

As

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

so

[tex]g(f(x))=g(5x+4)[/tex]

            [tex]=(5x+4)-3[/tex]

            [tex]=5x+4-3[/tex]

            [tex]=5x+1[/tex]

Therefore,

[tex]g(f(x))=5x+1[/tex]

The information is in the picture PLEASE HELP ME

Answers

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

What is the solution to the equation 9(x + 1)
27? (1 point)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]9(x + 1) = 27[/tex]

Divide sides by 9

[tex] \frac{9(x + 1)}{9} = \frac{27}{9} \\ [/tex]

[tex]x + 1 = 3[/tex]

Subtract sides 1

[tex]x + 1 - 1 = 3 - 1[/tex]

[tex]x = 2[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Alondra is training for a 5 mile race.
The table below shows how many strides Alondra takes as she builds up to running 5 miles.
How many strides will Alondra take to run 4 miles?
Exercise Log
Miles 1 2 4 5
Strides 2,640 5,280 ? 13,200
7,920
9,240
10,560
10,660

Answers

Answer:

( Can you show me the table? I don't see a table..)

Step-by-step explanation:

Two-thirds of a number is equal to negative one-fifth. What is the number
answers: -7 1/2, -3/10, -2/15, -3 1/3

Answers

Answer: -7 1/2

Step-by-step explanation:

The required number would be -3/10.which is the correct answer would be option (B).

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have been given that two-thirds of a number is equal to a negative one-fifth.

Let the number would be x

According to the given question, the required solution would be as:

⇒ (2/3)x = -1/5

Divided by (2/3) both sides of the above equation,

⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)

⇒ x = (-1/5)/(2/3)

Reciprocal the term in the numerator,

⇒ x = (-1/5) × (3/2)

Apply the multiplication operation, and we get

⇒ x = -3/10

Therefore, the required number would be -3/10.

Hence, the correct answer would be option (B).

Learn more about the number system here:

https://brainly.com/question/21751836

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what is 0.34 of 112?

Answers

Answer:

i think its 30.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

112 × 0.34 = 38.08

Is this all correct? Only answer If you know!

Answers

Answer:

Incorrect answers that were corrected:

Line CA is the same as line FD

angle B = angle E

angle C = angle F

Step-by-step explanation:

Niah has 34 gems and gives 8 to her sister how much does Niah have now?

Answers

Answer:

answer is 26 gems

Step-by-step explanation:

you subtract 8 from 34 and you get 26 as your answer

Write the slope-intercept form of the equation of the line described.
1) through (2, 2), parallel to y=x+4

Answers

Answer:

Slope intercept form: y=mx+b; where m is the slope and B is the y intercept

For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.

To find the y intercept plug in the slope and the x, y into the equation y=mx+b:

y=mx+b

y=1x+b

2=1(2)+b

2=2+b

0=b

b=0

Now that we have your slope and y intercept we can make the equation:

y=1x+0

y=x

Step-by-step explanation:

Trayvon wants to find out if tomato plants produce more tomatoes when they are fertilized. He grows 5 plants with fertilizer and 10 plants without fertilizer, and plans to compare the results. Which is the most appropriate quantity to measure for each group of plants

Answers

Answer:

The most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

Step-by-step explanation:

In this kind of experiment the most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

for plants with fertilizer

Independent variable/ quantity ; quantity of fertilizer applied and other controlled quantity like amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

For plants without fertilizer

Independent variable/quantity ; Absence of fertilizer and other controlled quantity like the amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

The price of an item has been reduced by 20%. The original price was $55. What is the price of the item now?
if you get this correct i will mark you brainliest!

Answers

Answer:

$55.00 divided by 0.20 = 0.0275 = $2.75

$55.00 - $2.75 = $52.25

You will purchase snacks for the painting class. You have a budget of $40. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. You need to by at least 20 granola bars. What combinations of fruit and granola bars can you buy? Algebra 1.... plz help

Answers

Answer:

You can buy 20 granola bars and 5 pounds of fruit. You can also buy 35 granola bars and 1 pound of fruit. You can also buy 30 granola bars and 2and a half pounds of fruit. You can also buy 24 granola bars and 4 pounds of fruit. There are a lot of combinations.

Step-by-step explanation:

Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?

Answers

Answer:

z=kx/y

zy=kx

zy/x=kx/x ( divided both side by x. to find k)

k=zy/x

k=6×4/3(z=6,y=4,x=3)

k=24/3

k=8

so z=kx/y

z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)

z=40/2

z=20

Won't you answer a poor sinner's question HELP! I SWEAR I'LL MARK IT AS BRAINIEST OR SMTHN​

Answers

Answer:

you needed to mark this question for the science section

Step-by-step explanation:

Find the angle measures. Justify your responses/

Given: a//b,, m3= 63 degrees.

Find: m6, m7

Answers

Answer:

Step-by-step explanation:

m<3=m<7=63

m<6+m<7=180

m<6=180-63

m<6=117

m<7=63

m<6=117

The measurement for ∠6 and ∠7 will be 63° and 117° respectively.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As we know the alternate opposite angle of the parallel lines are equal;

∠3 and ∠7 are alternate opposite angles;

So that;

m∠3=m∠7=63°

The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle

m∠6+m∠7=180

m∠6=180°-63°

m∠6=117

Substitute the value to get ∠7

m∠7=63°

m∠6=117°

Hence the measurement for ∠6 and ∠7 will be 63° and 117°.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

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What is the value of x in the solution to this system of equations?

3 x - 5 y = 22

y = -5 x + 32

Answers

1) X=22/3 + 5y/3
2) x=-y/5 + 32/5

If f(x) = x2 + x, find f(-3).
-12
3
6

Answers

Answer:

-9

Step-by-step explanation:

-3(2) + (-3)

-6 + (-3)

-9

Answer:

f(-3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = x² + x

f(-3) is x = -3

Step 2: Evaluate

Substitute:                    f(-3) = (-3)² + -3Exponents:                   f(-3) = 9 - 3Subtract:                       f(-3) = 6

And we have our final answer!

I have more questions like this so, if you can do a step by step i would love that!

Answers

ANSWER:

y = 2/3x + 2

EXPLANATION:

Write the equation in slope intercept form
y=mx+b
-2x+3y=2
3y=2+2x
y=2/3x+2/3

From the slope intercept form, we know that the slope is m=2/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Substitute the slope 2/3 and the point (3,4) in the point slope form: y-y1=m(x-x1) which we get from m=y2-y1/x2-x1
y - (4) = 2/3 • (x-(3))

Simplify it
y - 4 = 2/3 • (x-3)

Solve for y
y - 4 = 2x/3 - 2
y = 2x/3 - 2 + 4
y = 2/3x + 2

Evaluate x-y if x=-11 and y=26*​

Answers

the answer iss -37.

Answer: -37

Step-by-step explanation:

x - y

Substitute -11 for x and 26 for y

-11 - 26 = -37

Based on all of these experiments, what is the maximum height for these plants at 12 weeks?

25 inches

17 inches

23 inches

15 inches

Answers

Answer:

25 inches

Step-by-step explanation:

What is the answer to y=5x

Answers

y/x = 5 bc in order to isolate the variables you must divide by x on both sides to separate the 5, leaving you with y/x=5
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