A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us          [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.


Related Questions

Solve y = x + 6 for x.
Ox = y + 6
Ox= -y + 6
O x = y - 6
Ox= -y-6

Answers

Answer:

x = y - 6

Step-by-step explanation:

y = x + 6 (Given)

y - 6 = x (Subtracted 6 on both sides)

Will mark Brainlest Help
find the domain and range in each of the following ​

Answers

Step-by-step explanation:

Domain: possible value of x

Range: possible values of y

Domain:

Given in the question

-1smaller or equal to x smaller or equal to 1

Range:

y is greater than 1, smaller than 3

[tex] \sqrt{ \frac{y - 1}{2} } = x \\ [/tex]

y cannot be smaller than 1

when substitute velue of x= 1 or negative 1

we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.

first list all elements of x and y..

x= -1,0,1

y=2x^2+1

whenx=-1 y=2×-1^2+1=5

similarly, when x=0,y=1

x=1, y=5

therefore, domain=x={-1,0,1}

range=y={1,5}

i need help plz
i will mark you brainlest

Answers

Answer:

[tex] \frac{7}{4} - \frac{3}{4} = \frac{4}{4} [/tex]

Step-by-step explanation:

To find the number midway between 3/2 and 4/2, add them up and divide by 2

we have, 3/2 + 4/2 = 7/2

7/2 ÷ 2 = 7/4

Repeat the same for the number midway between 1/2 and 2/2 to get 3/4

The answer then is, 7/4 - 3/4 = 4/4

what Will You nota miss about remote learning​

Answers

Answer:

using brainly

Step-by-step explanation:

Answer:

waking up everyday and listening to them fuss about calling home even though im already home

Someone please help with this ASAP!!! I will give brainliest

Answers

Answer:

12m

7m

2520 m³

Step-by-step explanation:

Answer:

h=7m

top width=12m

v=l*w*h

=28*12*10=3360

volume of the top=3*20*12

720

v of the shape is= 3360-720

=2649

write the equation of a circle with a center at (-1, -4) that passes through the point (-1,-1)

Answers

Answer:

Equation of the circle :  

                      [tex](x+ 1)^2 + (y+4)^2 = 9[/tex]

Step-by-step explanation:

Equation of a circle with centre (a, b) and radius ,r :

[tex](x - a)^2 + (y-b)^2 = r^2[/tex] ------(1)

Here a = -1, b = -4

find radius:

Since the circle passes through (-1, -1) , the radius is the distance between the centre and the point.

[tex]distance, r = \sqrt{(-1 -(-1))^2 +(-4 -(-1))^2 }[/tex]

               [tex]= \sqrt{9} = 3[/tex]

Substitute the values in (1) :

             [tex](x - (-1))^2 + (y-(-4))^2 = 3^2\\\\(x+ 1)^2 + (y+4)^2 = 9[/tex]

Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? Give your answer in its simplest form. *

Answers

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

Maya read 40 pages in 60 minutes

Answers

What is the question exactly?

write down all the factors of each number
a. 10
b. 25
c. 36
d. 50
e. 100​

Answers

Answer:

Below

Step-by-step explanation:

The factors of 10 are 1, 2, 5, 10.

The factors of 25 are 1, 5, and 25.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 50: 1, 2, 5, 10, 25, 50.

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.

length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *​

Answers

Answer:

6 1/4 simplified 25/4 decimal 6.25

Step-by-step explanation:

if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4

what is the equation that matches this table?

Answers

Answer:

y = –1 + 3x

Step-by-step explanation:

To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:

Option 1

y = –1x + 3

x = –2

y = –1(–2) + 3

y = 2 + 3

y = 5

This did not give the required value of y (i.e –7) in the table.

Option 2

y = 1 + 3x

x = –2

y = 1 + 3(–2)

y = 1 – 6

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 3

y = –3 + 1x

x = –2

y = –3 + 1(–2)

y = –3 – 2

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 4

y = –1 + 3x

x = –2

y = –1 + 3(–2)

y = –1 – 6

y = –7

This gives the required value of y (i.e –7) in the table.

Thus, the equation that matches the table is:

y = –1 + 3x

Which of the following is a characteristic of a plane

Answers

Answer:

I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.

Step-by-step explanation:

Answer:

If you are taking the FLVS test it is "Two endpoints"

Step-by-step explanation:

Just took the test

hope it helps :)

A man is walking down a very long flight of
steps in a stairwell. He begins at 136 feet
above ground level. He walks down with a
steady rate such that he gets closer to the
ground floor at a rate of 2.8 feet per second.
The man is going to exit the stairwell at the
4th floor, which is the height of 42 feet above
ground level. Let t be equal to the number of
seconds it takes for him to get to the 4th floor.
Set up and solve the equation to find the value
of t. Round your answer to the nearest tenth
of a second.

Answers

Answer:

33.6 seconds

Step-by-step explanation:

if he begins at 136 feet and wants to go to 42 feet, the distance is 94 feet

d = 94

r = 2.8

d = rt; solving this formula for 't':

t = d/r

t = 94/2.8

t = 33.6 seconds

HELP ME PLS I SUCK AT MATH I NEED ANSWER ASAP

Answers

A) -3+4 = -1
B) 5-3= 2
C) 15-7=8
D) 8-3=5
E) +12-5=7

15. Mr Muthu bought some apples and oranges. The price of the fruits were as shown below. Fruit Price Apples 60¢ each Oranges 80€ aach The ratio of the number of apples bought to the number of oranges bought was 3:4. He spent $75 on the apples and oranges. How many apples did he buy?​

Answers

Answer:

 40

Step-by-step explanation:

you mutiply then take away the 2 last digits

Answer:

Step-by-step explanation:

0.6*3t+0.8*4t=75

so t=15

apple=3t=45

orange=4t=60

here is the picture!

someone please answer ASAP!!
i need to know if my math is right

Answers

Answer:

good luck

Step-by-step explanation:

you will get answers after some time

Answer:

base 48

width 8 and length 6

pls brainliest. should work and you get points back

Classify the quadrilateral.

Answers

Answer: B

Step-by-step explanation: If a quadrilateral is a parallelogram, then opposite sides are congruent and parallel, so this must be a parallelogram.


Additional Activities
Directions: Use a non-standard unit of the same material and
size. Which unit will give the greater number for the volume of the
container using ping-pong balls and monggo seeds? Visualize the
volume of each box, explain your answer. Write your answers on a
sheet of paper
.
2.
1.
Ping-Pong balls
Monggo seeds​

Answers

Answer:Ping Pong Balls

Step-by-step explanation:

im so stressed rn i need help pls​

Answers

Answer:

45.60

Step-by-step explanation:

12 × 51.60 = 619.20

1804.80 - 619.20 = 1185.60

1185.60 ÷ 26 = 45.60

The cost of a ticket for a child will be 45.60 dollars

PLS HELP ASAP! Find the Surface Area of the given figure.


THANK YOU!

Answers

Answer:

158 m^2

Step-by-step explanation:

l = 5 m, w = 3 m, h = 8 m

S.A. = [tex]2(lw+wh+lh)[/tex]

S.A. = 2{(5)(3) + (3)(8) + (5)(8)}

S.A. = 2(15 + 24 + 40)

S.A. = 2(79)

S.A. = 158 m^2

Hope this help!!!

Have a nice day!!!

Which of the following triangles have three sides of different length?

A. acute
B. scalene
C.equilateral
D. right​

Answers

Answer:

C

Step-by-step explanation:

correct me if iam wrong

What is the least common multiple (LQM) of 8 and 12?

Answers

Answer:

24

Step-by-step explanation:

The LCM of 8 and 12 is 24. Find least common multiple (LCM) of: 16 & 24 4 & 6 24 & 36 40 & 60 56 & 84 16 & 12 8 & 24 24 & 12 8 & 36 40 & 12 8 & 60 56 & 12 8 & 84

Jeffery has two pets that he feeds daily. His dog eats 3/4 cup of food. His cat, on the other hand, eats 1/2 of what his dog eats. How much food does his cat eat?​

Answers

Answer:

3/8 cup

Step-by-step explanation:

Dog : 3/4 cup

Cat: 1/2 (Dog) = 1/2 (3/4 cup) = 3/8 cup

Hope this helps!!!

Have a great day!!!

Sam puts $10,000 in an account earning 4% interest, compounded monthly. If he adds 5100 to the account each month, how much
will the account be worth in 10 years?

A. $26,489.23
B. $29,633.31
C. $32,722.56
D. $34,693.81

Answers

The answer is d for Daniel
The correct answer is D

What is the probability that a randomly selected
purchase has less than two tickets?

Answers

Answer:

The answers for your question is 0.17

Calculate 18t -t +6q-6​

Answers

Answer:

17t+6q-6

Step-by-step explanation:

18t -t +6q-6​

Combine like terms

17t+6q-6

Answer:

17t+6q-6

Step-by-step explanation:

18t-t =17t

others don't change as they are not the factors of the same character

help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

answer a and d

Step-by-step explanation:

one thing i could say it would not be C because if it were symetric, i already see 2 lines that are not symetrical in anyway

sure the graph could extend to infinity and negative infinity and if you see the right arrow, it is pointing down-wards, so if it goes bellow 0, point (0,0) would not be your expected number to see as the minimum

and between -1 and 1, yes, we can already see that the line from -1 and 1 is exponentially increasing

Given a mean of 21 and a standard deviation of 1.2, what is the z-score of 21?

Answers

zero the z score of the mean is always zero

Natalie just rented an apartment for $900 a month.she was told that the rent will increase 5.5% each year. About how much will her rent be in 7 years

Answers

Answer:

Step-by-step explanation:

the equation you write to solve this should be:

x = 900 (1 + 0.055)^7

x = 900 (1.055)^7

x = 900 (1.454679131133794609375)

x = 1,309.21

*** Note that the answer was rounded to the nearest hundredths digit. ********

HELPPPPPP don't troll ima report

Answers

Answer:

The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Step-by-step explanation:

We have the function:

[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]

And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.

The gradients of a curve at a point is given by its derivative. Find the derivative:

[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]

Use the quotient rule:

[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]

Since the gradient is 5, substitute 5 for dy/dx and solve for x:

[tex]\displaystyle 5=\frac{x^2+1}{x^2}[/tex]

Multiply both sides by (x ≠ 0):

[tex]5x^2=x^2+1[/tex]

Subtract from boths sides:

[tex]4x^2=1[/tex]

Solve for x:

[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]

So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

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