write each equation explicitly in terms of x: (with steps)
1) y^2 -x^2 + 1 = 50

2) y^2 +6y +9 = x + 8

Answers

Answer 1

Step-by-step explanation:

y2−x2+1=50

Step 1: Add -y^2 to both sides.

−x2+y2+1+−y2=50+−y2

−x2+1=−y2+50

Step 2: Add -1 to both sides.

−x2+1+−1=−y2+50+−1

−x2=−y2+49

Step 3: Divide both sides by -1.

−x2

−1

=

−y2+49

−1

x2=y2−49

Step 4: Take square root.

x=√y2−49 or x=−√y2−49

Answer:

x=√y2−49 or x=−√y2−49

y2+6y+9=x+8

Step 1: Flip the equation.

x+8=y2+6y+9

Step 2: Add -8 to both sides.

x+8+−8=y2+6y+9+−8

x=y2+6y+1

Answer:

x=y2+6y+1


Related Questions

Nolan has $15.00 and earns $6.00 an hour babysitting. use the equation m=6h+15 to determine how much in dollars (m) Nolan has after any number of babysitting(h).

Answers

Answer:more than 15 and if he worked for 1h he will have 21$

Step-by-step explanation:

Which inequality below satisfies the solution set graphed on the following number line?

Answers

Answer:

D.

Step-by-step explanation:

The function must have the range  -3 to 5.

2x^2 - 4x - 30

= 2(x^2 - 2x - 15)

= 2(x + 3)(x - 5)

so the critical points are -3 and 5.

When x = -2 f(x) = 2* 1 * -7 = -14 <= 0

when x = 4 f(x) = 2 * 7 * -1 <= 0.

when  x= 0  f(x) < 0

So its the last option.

If i have an 86% in my math class and i got 2.8/10 on an assignment how much would my grade drop​

Answers

I’m not sure because it depends on how weighted your assignments are. If I were you I would find some way to retake it or ask your teacher if you can do some extra work to make up for it. Hope this helps :)


Determine whether the equation is a linear equation. If so, write the equation in standard form.
13. y + 9 = -2x3

Answers

Answer:

y=[tex]-2x^{3}[/tex]-9

Step-by-step explanation:

309 × 29 the turtle head way​

Answers

the answer of 309 x 29 is 8,961

Verify each identity
(sin(x))/(1 - cos(x)) - cot(x) = csc(x)

Answers

⟹sin2=1−cos2=(1−cos)(1+cos)
⟹sin1−cos=1+cossin=1sin+cossin=csc+cot

sinx1−cosx
=
1+cosxsinx=1
sinx+cosxsinx=cscx+cotx

Find two numbers with a sum of 20 and a difference of 6

Answers

Answer:

So the answer is 13 and 7

Step-by-step explanation:

If we consider the case i.e. second-first =6

Pipe A can fill a tank in 5 hours. Pipe B can fill the same tank in 7 hours. If both pipes were open, how long would it take them to fill an empty tank?

Answers

Answer:

It would take them 6 hours to fill an empty tank.

Step-by-step explanation:

Add the amount of time it takes Pipe A and Pipe B to fill an empty tank together (5 + 7) and then divide your sum by two. You should get 12 / 2 = 6.

Hope This Helps!

Convert 6200 seconds into weeks. Round your answer to the nearest hundredth

Answers

Answer:

0.01 weeks

Step-by-step explanation:

1 min=60sec

1hr=3600sec

1 day = 86400sec

1 week= 604800sec

Therefore answer is 6200/604800= 0.01(approximated)

phân tích các đa thức:
x^3+3x^2+3x+1

Answers

Please find attached photograph for the solution of your question.

Which statement best describes a scatter plot

Answers

Answer:

a scatter plot shows how strongly two variables are related.

a scatterplot, also known as scatter graph is a graphic representation of the relationship between two numerical variables. One of the variables is represented on the horizontal axis (x-axis) while the other is represented on the vertical axis (y-axis).

PLZZZZZ HELP ME ILL MAKE YOU BRAINLIEST ANSWER PLZZZZZZ THANKYOUUU!!!!!!

Answers

Answer: what do you need help on?

Step-by-step explanation:

What are the correct answers to this geometry question?

Answers

Answer:

anong grade po yan?

baka alam ko po

2² - 7x-4
Simplify x2-5x+4
3
2x+1
x-1
2x+1
x+1
2-7x
5x
DONE

Answers

Answer:

It's the 1st one:

[tex] \frac{2x + 1}{x - 1} [/tex]

Step-by-step explanation:

There is a correct way to do this, but because it's multiple choice you can plug any value, preferably not any negatives, 0 or 1, into the x and then calculate. I plug 2 in for x and got 5 as my answer then I went to the answers and the 1st equaled 5

3x+3<36
pls help i’m not sure what it is

Answers

Answer:

Step-by-step explanation:

get the x alone by subtracting 3 from each side.

3x+3-3<36-3

3x<33

divide by three

3x/3<33/3

x<11

Hello There!

Solving inequalities is almost like solving equations.

x<11.

Let me explain step-by-step.

3x<36-3

3x<33

x<11

We must isolate x.

x < 11 means x is less than 11.

It could be 10, -100, as long as it is less than 11, it would make the inequality true.

Let's verify.

3(10)+3<36

30+3<36

33<36

It's true, isn't it?

Hope it helps! :)

I need the answers asap

Answers

Answer:

1. B

2. G

3. D

4. C

Step-by-step explanation:

1.

-(7x-8) = 2-5x

-7x + 8 = 2 - 5x

-2x + 8 = 2

-2x = -6

x = 3

2.

5(3+2x) = 10x-4

15 + 10x = 10x - 4

No Solution

3.

x+5 = (3x+13) / 2

x + 5 = 1.5x + 6.5

x = 1.5x + 1.5

-0.5x = 1.5

x = -3

4.

2 + 6x = 2(3x + 2) - 2

2 + 6x = 6x + 4 - 2

2 + 6x = 6x + 2

Infinite Solution

Insect Species- The number of species of a particular type of
insect depends on the size of the insect according to the formula
f(m) 40m-0.6, where m is the mass in grams. Find and inter-
pret f'(0.01).

Answers

Answer:

F- 18 Hz. = 19m 2.

Step-by-step explanation:

Can you help me please.

Answers

Step-by-step explanation:

ranges are,

-1 , -11 and 7

hope this answer helps you dear!

Answer:

R = { - 11, - 1, 7 }

Step-by-step explanation:

Substitute the values from the domain into f(x) for range

f(2) = - 2(2)² + 7 = - 2(4) + 7 = - 8 + 7 = - 1

f(- 3) = - 2(- 3)² + 7 = - 2(9) + 7 = - 18 + 7 = - 11

f(0) = - 2(0)² + 7 = - 2(0) + 7 = 0 + 7 = 7

Then

R = { - 11, - 1, 7 }


Find the x- and y-intercepts.
3.
8x + 7y= 28

Answers

Answer:

dees nuts

Step-by-step explanation:

To find the intercepts, substitute 0 for x to solve for y. And substitute 0 for the value of y to solve for x. You will have 2 equations and two answers. I got:
x= 7/2
y=4

Divide.

(−14)÷(−34)

What is the quotient?

Enter your answer as a simplified fraction in the box.

Answers

Answer:

[tex] \frac{7}{17} [/tex]

Step-by-step explanation:

(-14) ÷ (-34)

14/34

= /17

The quotient of the division will be 0.41. And the solution of the division (−14) by (−34) would be 7/17  as a simplified fraction.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to divide the mixed fraction with integers, So

(-14) ÷ (-34)

The common denominator we can calculate as the least common multiple of the denominators then we get

14/34

= 7/ 17

= 0.41

Thus, the quotient of the division will be 0.41

Therefore, the solution of the division (−14) by (−34) would be 7/ 17  as a simplified fraction.

Learn more about division here:

brainly.com/question/26411682

#SPJ2

There are 115 flowers on 7 trees. What is the unit rate of the flowers per tree? How many flowers on 22 trees?

Answers

Answer: 16 flowers per tree, 352 flowers on 22 trees.

Step-by-step explanation:

115 flowers/ 7 trees= 16.4 flowers per tree

Since you can't have partial flowers, round down to 16 flowers per tree.

16 flowers per tree * 22 trees=352 flowers

Fill in the missing numbers to complete the pattern:
1.52, 1.77,
2.27,
2.77
Submit

Answers

Answer:

1.52,1.77,2.02,2.27,2.52+2.77

Step-by-step explanation:

The pattern is that it increases by 0.25

Hope this helps

Have a nice day! :D

Mark brainliest if possible

1. 6.208 + 1.6 =
how to multiply and divide decimals

Answers

[tex]\\ \sf\longmapsto 6.208+1.6[/tex]

[tex]\\ \sf\longmapsto 1.600+6.208[/tex]

[tex]\\ \sf\longmapsto 2.208[/tex]

Just count 0 s at right

Encuentra el perímetro de la circunferencia cuyo diámetro es de 6 cm

Answers

Answer:

Circumference = 2*pi*r

Diameter = 6 cm

Radius = 3 cm

Circumference = 2*22/7*3

= 18.85 cm.....

Step-by-step explanation:

Hope this helps you....

Pls mark me brainliest....

What is the opposite of
[tex] \sqrt{3} [/tex]

Answers

Answer:

-1.73

Step-by-step explanation:

wolframalpha:///?i=opposite+of+√3

Additive inverse [tex]\sqrt{3}[/tex]

Over 25.5 days a ponds water level changed by a average of -0.32 centimeter each day what was the total change in the water level

A:10.55
B:-8.16
C:8.16
D:-10.55

Answers

If over 25.5 days a ponds water level changed by a average of -0.32 centimeter each day the total change in the water level will be:  C:8.16

Centimeter each day=-0.32

Days of changed in water level=25.5 days

Now let determine total change in the water level

Total change=25.5 days × (-0.32)

Total change=8.16 centimeter

Inconclusion if over 25.5 days a ponds water level changed by a average of -0.32 centimeter each day the total change in the water level will be:  C:8.16

Learn more here:

https://brainly.com/question/2028354

plsssssss answerrr pls plsssss

Answers

Answer:

20

Step-by-step explanation:

Answer:

20 times

Step-by-step explanation:

6 x 10^5 = 600000

3 x 10^4 = 30000

600000/30000 = 20

Im not sure how to solve this. Please help. ​

Answers

Answer:

B

hope it helps

10+3c≤1 ????????????????????????

Answers

Answer:

c<-3

Step-by-step explanation:

move the constant to the right-hand side and change its sing

Then canculate the difference

Then divide both sides for the inequality of 3

Please help !!!! I need this

Answers

Answer:

xy²/5= 2×1²/5 = 2/5

...........

Answer:

0.8

Step-by-step explanation:

Other Questions
-9x-11 = -452 solve to the nearest hundredth 14. The division of our nervous system that triggers the stress response is the _____________ division.parasypathetic autonomic sympathetic somatic15. Which of the following is a brain chemical that helps to relieve pain.cortisol norepinephrine epinephrine endorphin16. Eustress might be triggered by :being physically attacked experiencing homeostasis getting a bad grade winning the lottery17. Which of the following is one of the stages of the general adaptation syndrome.anxiety ambivalance anger alarm 18. Which of the following is a stressor:a bad grade rapid pulse high fever sweaty palms19. Which of the following is a response of the parasympathetic division of the nervous system:storing energy increased heart rate increased sweating agitation20. All of the following are released during the stress response EXCEPT :endorphins norepinephrine gamma globulins cortisol 21. Homeostasis isa state of unbalance a state of balance increased metoabolic activity describes the body during the fight-or-flight response22. GAS is an acronym for:growth adjustment from stress general adaptation syndrome genetically alleviated stress general acceleration from stress23. Burnout is a state of ____________ exhaustion.occupational physical, mental, and emotional occupational and social physical 25. One common factor that negatively impacts time-management islist writing procrastination goal setting overconfidence if i ate 2 dogs and startedoff with 3 how many would i have? PLEASE HELP ME!!SO HARD Which option is a subsection of the General Description section of the SRS?A. AbbreviationsB. AcronymsC. ReferencesD. DefinitionsE. Product Functions If you know Spanish please help How did increased wealth influence ancient civilizations? O Wealth inspired artistic traditions of ancient civilizations. Wealth determined the religious beliefs of ancient civilizati O Wealth demonstrated the cultural values of ancient civiliza Wealth changed the amount of power held by ancient civil i need quick help with this, thanks :) Which of the following describes a theme of thetext? in the book The Lottery? Head trauma victims should what are the advantages and disadvantages of dynamic programming in operations research? ) What is 35% of 10?0.35(10) Empareja la descripcin de la persona con lo que le gusta hacer. (Match the descriptions of people with what they like to do) which civilization is considered the mother culture of early central america? I want to learn English but I don't know where to start A box has a length of 30 inches, a width of 40 inches, and a height of 120 inches. Can a cylindrical rod with a length of 342.9 centimeters fit in the box? please help! circled numbers only. tysm, will mark brainliest. A complete the sentences with can or can't1 I___ swim but i can ski2 what sports ____ you play? Tennis and basketball Can someone help me on question 12 Markos wrote the following two statements about a book he read.1. The story of the boy with a learning disability teaches the importance of friendship.2. A young boy with a learning disability struggles to make friends as he enters middle school and eventually succeeds.Which statement is an objective summary, and why? A. Statement 1 is an objective summary because it provides a reason for reading the story. B. Statement 1 is an objective summary because it states the theme of the story in a formal tone. C. Statement 2 is an objective summary because it explains the events without offering an opinion. D. Statement 2 is an objective summary because it introduces the main character and his problem in a thoughtful tone.