Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434

Answers

Answer 1

Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:


Related Questions

can i have help with this please

Answers

Answer:

Your answer is [tex]2c^{2}[/tex]

2c^2

The 8/4 simplifys to 2

3-1=2 for the c’s

And the d’s cancel out

If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST

Answers

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

Ans:ST=31

∆ RS= 21 and ST=31

Pls help i am so lost

Answers

Answer:

x= 90 degrees

y=43 degrees

Step-by-step explanation:

Solve 2^2x-3 = 128. X =

Answers

Answer:

x=131/4

Step-by-step explanation:

Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?

Answers

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?

Answers

Answer:

  5.48 lb

Step-by-step explanation:

12 inches is 1 foot.

12.8 times that length will have 12.8 times that weight:

  12.8 · 0.428 lb = 5.4784 lb ≈ 5.48 lb

__

The given values have 3 significant figures, so the answer needs to be rounded to 3 significant figures.

The picture attached is the problem

Answers

(-(-9)/2(1) , -((-9)^2 - 4(1)(18))/4(1))

(9/2 , -9/4)

So C is the answer

If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?​

Answers

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

Y=-3(x-4)+3x
Find f(-1)
Can someone solve and explain please? No Bots No Links.

Answers

Answer:

12

Step-by-step explanation:

while f(x) = f(-1) then we can solve the equation

Y=-3(x-4)+3x

f(x)=-3(x-4)+3x

f(-1)=-3(x-4)+3x

=-3((-1)-4)+3(-1) = 12

Y=12

Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answers

Answer:

a

Step-by-step explanation:

[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]

Answer:

the answer is just a

Step-by-step explanation:

will mark brainlist if right no links
Four expressions are shown below

I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to


I and II, only
I and II, only

II and IV, only
II and IV, only

I, II, and IV
I, II, and IV

II, III, and IV

Answers

Answer:

1, 2, and 4

Step-by-step explanation:

distribution

Ten less than the product of a number and 45.​

Answers

Answer:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?

Answers

Answer:

88 markers long just take 22 and divide it by .25

PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5

Answers

Answer:

A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

Hope this helps!

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

Answers

y = -2/3x is the answer

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

y=-2/3x

Halppppppppppppp..............

Answers

Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.

1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1

Answers

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?

Answers

Answer:

48 books

Step-by-step explanation:

you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48

Please help very confusing

Answers

The value of x is 23 because BC and EF are equal

A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Step-by-step explanation:

a)

p

(

red marbles

)

=

6

6

+

8

p

(

red marble

)

=

3

7

b)

p

(

o

d

d

n

u

m

b

e

r

s

)

=

3

+

4

6

+

8

p

(

o

d

d

n

u

m

b

e

r

s

)

=

1

2

c)

p

(

red marbles or odd numbers

)

=

p

(

red marbles

)

+

p

(

odd numbers

)

p

(

red marbles and odd numbers

)

p

(

red marbles or odd numbers

)

=

6

14

+

7

14

3

14

p

(

red marbles or odd numbers

)

=

10

14

d)

p

(

Blue marbles or even number

)

=

p

(

Blue marbles

)

+

p

(

even numbers

)

p

(

blue marbles and even numbers

)

p

(

Blue marbles

)

=

8

14

p

(

even numbers

)

=

7

14

p

(

Blue marbles or even number

)

=

8

14

+

7

14

4

14

p

(

Blue marbles or even number

)

=

11

14

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What is Probability in Math? - Definition & Overview

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Chapter 24 / Lesson 7

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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

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Answers

Answer: 40

Step-by-step explanation:

The angles in a triangle are equal to 180

We can use this equation to find x

180 = 20 + 3x + x

Then we solve

160 = 4x

x = 40

Answer:

180 = 20 + 3x + x

X = 40

Step-by-step explanation:

180 = 20 + 3x + x

Combine like terms

180 = 20 + 4x

Subtract 20 on both sides

160 = 4x

Divide both sides by 4

40 = x

If for evry 15 there is 25 what is the number for just 5

Answers

Answer:

I think it may be 8.3.

Step-by-step explanation:

15 = 25

15÷3=25

25÷3=8.3333333

Round it to 1 decimal place and you get 8.3

write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.​

Answers

Answer:

Type of variation

1) Direct variation

Simple equation y=Kx

Y varies directly with x

Practical example-

Radius of the circle lit by a car's

Light decreases (y) as the distance away from the garage decreases (c)

2) Inverse variation

Simple equation y=k/x

Y inversely with c

Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)

3) Joint variation

Simple equation y=kxz

Y varies jointly with x and z

Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside

Step-by-step explanation:

Solve for x and not to scale

Answers

Answer:

x = 90

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values

[tex]\frac{3}{27}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )

3x = 270 ( divide both sides by 3 )

x = 90

System of equation by using substitution
3=y+3x
-x+3y=29

Answers

Answer:

x=-2

y=9

Step-by-step explanation:

3=y+3x ---- A

-x+3y=29 ----B

step 1. rearrange equation A, so you have the "y" variable on one side

3=y+3x

-3x     -3x

3-3x=y

y=3-3x ---- C

step 2. Substitute equation C into equation B in place of "y"

-x+3(3-3x)=29 ---foil

-x+9-9x=29 -- collect like terms

-10x+9=29

       -9     -9

   -10x=20

      ÷-10     ÷-10

         x=-2

Step 3. Substitute x=-2 into equation C to find y

y=3-3(-2)

y=3+6

y=9

Check you answer by subsituting x=-2 and y=9 back into equation A and B

50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k

Answers

Answer:

The greatest common factor of 4k, 18k4, and 12 is 2.

Answer A 2

Hope this helps

help me please question in picture​

Answers

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

Increase 1000 in the ratio 2:5

Answers

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

1\4-2\5
plese help and thank
you

Answers

Answer:

3/20

Step-by-step explanation:

3/20 I sure, Just trying this one

Find the slope of the line graphed below.​ 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

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