What is the equation of the line

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

Answer:

13

Step-by-step explanation:

< W = <V            Given

WV = 8              Given

XV = 13              Given

Find XW

In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.

In sort XV = 13. < V = <W   XW = 13

Answer and Step-by-step explanation:

i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1

Since we know this, we can go to the last instance of the multiply of 4.

For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.

D. -1 -- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

You have gained $43 and the value increased by 3.8%

Step-by-step explanation:

You would 75 times 15 = $1125

then you would do 1125 times 97% = 1091.25

now you would do 1091.25 times 107% = estimation of 1168

then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%

You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%

Respuesta:

1000m³

Explicación paso a paso:

La capacidad del tanque viene dada por el volumen del cubo;

El volumen, V del cubo se da como: a³

V = a³

El borde del cubo mide 10 metros.

Por eso,

Volumen = 10³

Volumen = 10 * 10 * 10

Volumen = 1000 m³

Por lo tanto, la capacidad del tanque de agua es de 1000 m³.

Step-by-step explanation:

hope the picture above help u to understand:)

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

Answer:

12.9

Step-by-step explanation:

cos(44) = x/18

x = cos(44) * 18

x = 12.9

Answer:

0.025 liters

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.025 liters

Step-by-step explanation:

9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

Answer:

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Step-by-step explanation:

Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.

O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.

Se o perímetro de um deles é 10, o perímetro do outro deve ser:

Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Answer:

y = 2/3x - 5

Step-by-step explanation:

If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:

y + 1 = 2/3 (x - 6)

y + 1 = 2/3x - 4

y = 2/3x - 5

Answer: 500

Step-by-step explanation:

Given

6 g butter is required to make a cupcake

If there is 3 kg butter

We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm

No of cup-cakes made

[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]

Answer:

+9

Step-by-step explanation:

+9-9=0

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

========================================================

Explanation:

Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.

The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.

The area of the second larger square is 114*114 = 12,996 square inches.

Now divide the two areas: (12,996)/(9) = 1444

It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.

In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.

Or put another way:

large area = 1444*(small area)

------------------

Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.

Step-by-step explanation:

180°+63°

=243°

holp it help

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Answer:

No

Step-by-step explanation:

We can use the Pytaghorean theorem to verify it

4.4^2 + 5.5^2 = 6.6^2

19.36 + 30.25 = 43.56

49.61 = 43.56 (false)

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

Answer:

hsshshshwwbwbbs29oooo