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


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

309 × 29 the turtle head way​

Answers

the answer of 309 x 29 is 8,961

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

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

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.

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

Please help !!!! I need this

Answers

Answer:

xy²/5= 2×1²/5 = 2/5

...........

Answer:

0.8

Step-by-step explanation:

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!

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:

What are the correct answers to this geometry question?

Answers

Answer:

anong grade po yan?

baka alam ko po

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]

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


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:

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

phân tích các đa thức:
x^3+3x^2+3x+1

Answers

Please find attached photograph for the solution of your question.

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 }

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

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

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).

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

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

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

Answers

Answer:

B

hope it helps

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:

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....

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

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! :)

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)

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

Answers

Answer: what do you need help on?

Step-by-step explanation:

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 :)

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

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