help i’m confused about this question.

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

Answer:

The equation  represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.

Answer:

a. 8, 3, 6, 10

b: 220

Step-by-step explanation:

surface area = bh + (b1 + b2 + b3) L

6(8) + (6+8+3) x 10

48 + (17)(10)

48 + 170 = 220

Answer:

96 ft²

Step-by-step explanation:

       A = 8 ft

        B = 2 ft

        C = 6 ft

         D = 10 ft

[tex]\boxed{\bf Surface \ area \ of \ right \ triangular \ prism = (perimeter \ of \ triangle)*B + C*A }[/tex]

                                                                = (A + C + D)* B + C*A

                                                                = (8 + 6 + 10)*2 + 6*8

                                                                = 24*2 + 48

                                                                 = 48 + 48

                                                                 = 96 ft²

Answer:

Step-by-step explanation:

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.

The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.

Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.

We need to find its volume.

The volume of the triangular prism = base area × height

Here,

Base area = area of the triangle

= 1/2 × base × height

= 1/2 × 3.2 × 2.5

= 4 cm²

And,

Height of the prism = 8 cm

Substituting the values,

V = 4 × 8

V = 32 cm³

Hence the volume of the prims is 32 cm³.

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Answer:

a) 3/2 or 1 1/2

b) 5/3 or 1 2/3

Step-by-step explanation:

1/2 + 1/2 + 1/2 =

3 x 1/2 =

3/2 or 1 1/2

1/3 + 1/3 + 1/3 + 1/3 + 1/3 =

5 x 1/3 =

5/3 or 1 2/3

Answer: (a) 1 1/2 and (b)  1 2/3

Step-by-step explanation:  (a) 1/2 + 1/2 + 1/2 = 1/2 x 3

                                                                     = 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).

                                            Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)

(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
                                                     = 5/3

mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)

Answer:2.16

Step-by-step explanation:

Answer:

              The error made in simplifying the expression is that 54 · 1 is supposed to be equivalent to 54, not 1.

Step-by-step explanation:

               The Multiplication Property of One states that any number that is multiplied by one will stay the same, keeping its exact numerical value as before. However, in the expression shown, 54 multiplied 1 ended up equaling 1, which does not fit the Multiplication Property of One. Therefore, the error made in simplifying the expression is that 54 · 1 is supposed to equal 54, and not 1, based on the rule of multiplying any number by 1.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:S = {V, S, I, D, I, I, N, O}

Step-by-step explanation: Im not sure but im pretty sure that this is the answer

Answer: the original price of the item was $172.40.

Step-by-step explanation: If the percent of discount is 15% and the sale price is $146.54, we can use the following formula to find the original price:

Original price = Sale price / (1 - Percent discount as a decimal)

First, we need to convert the percent discount to a decimal by dividing it by 100:

15% = 0.15

Substituting the given values into the formula, we get:

Original price = 146.54 / (1 - 0.15)

Original price = 146.54 / 0.85

Original price = $172.40

Therefore, the original price of the item was $172.40.

Answer:

172.40

Step-by-step explanation:

w-[0.15]=146.54

so w-85p=146.54

146.54 divided by 80=1.724 so when you make it a percent it turns it into 172.40 which is the final answer for the money.

Answer:

7.95

Explanation:

1.45+1.20= 2.65

2.65x3=7.95

Heroine. Explanation: The first two letter i.e. 'he' refers to male person, the first 3 letters i.e. 'her' denotes female, the first 4 letter i.e. 'hero' means a great personality while the whole world i.e. heroine is the great woman.

The required distance around the hat is approximately 21.35 inches.  Option C is correct.

To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.

Here,
The distance around a circle is given by the formula circumference = π × diameter.

Substituting the given values, we get:

circumference = 3.14 × 6.8

circumference = 21.352

Rounding to the nearest hundredth, we get:

circumference ≈ 21.35 inches

Therefore, the distance around the hat is approximately 21.35 inches.

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Answer:

The solution is B. 2 2/10

Step-by-step explanation:

[tex]6 \frac{8}{10} - 4 \frac{6}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (6 - 4) + ( \frac{8}{10} - \frac{6}{10} ) \\ = 2 + ( \frac{2}{10} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \frac{2}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

 =  10.4 miles

Lupita rode 10.4 miles in the taxi.

Answer:

A. 1 to 12

Step-by-step explanation:

if each business has 4 executives there is a total of 120 executives

30(4) = 120

to find the proportion of executives to offices we divide the number of offices by the number of executives

1440/120 = 12

a more in depth look is

1440 offices / 120 executives

"offices" and "executives" cannot divide each other out, but the 1440 and 120 can so it would be

12 offices / 1 executive

Answer:

ok so the range for studied is 21 and the interquartile is 10

and the range for did not study is 46 and the interquartile is 19.5

Step-by-step explanation:

also, what do you need for 2 comments so I can help  brainlyness  please

Answer: 135 degrees

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.

Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.

Therefore, we can create this equation.

3s + s = 180

4s= 180

s = 45

Angle s is 45 degrees.

180 - 45 = 135

Angle t is 135 degrees.

Answer: 3 units (look at the image for the solution)

Step-by-step explanation:

Answer:

109-5h

Step-by-step explanation:

Idek

Answer:

For the fraction model, fill the whole left bar, and only 1 in the right bar.

The addition equation is:

⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6

Explanation:

Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.

Answer:

B

Step-by-step explanation:

Probability of apple :

No. of apple / No. of fruits

• 10/50

• 0.2

Probability of banana :

No. of banana / No. of fruits

• 15/50

• 0.3

Probability of lemon :

No. of lemon / No. of fruits

• 6/50

• 0.12

Probability of orange :

No. of orange / No. of fruits

• 14/50

• 0.28

Probability of pear :

No. of pear / No. of fruits

• 5/50

• 0.1

Answer:

0232

Step-by-step explanation:

0232/4 = 58

Answer:

yes

Step-by-step explanation:

yes

Answer: A) Reflection across the y-axis

Answer:

Linear Equation 1 — 3xyz

Linear Equation 2 — x = 4 and y = 2

Linear Equation 3 — x = 1 and y = (-1)

Step-by-step explanation:

(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

The required result must be 3xyz.
(Linear Equation 2)

2x − y = 6   ....(1)

x − y = 2  ....(2)

Equation(2)−Equation(1) we get

x − y − 2x + by = 2 − 6

(−x) = (−4)

x = 4

Substitute x = 4 in (1) we get

2x − y = 6

2*4 − y = 6

8 − y = 6

(−y) = 6 − 8

y=2

(Linear Equation 3)

ax + by = a − b .......... (1)

bx − ay = a + b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a²x + aby = a² − ab ..........(3)

b²x − aby = ab + b² ......... (4)

Adding (3) and (4), we get,

(a² + b²)x = a² + b²

x = 1

Now, from (1),

ax + by = a − b

a + by = a − b

by = (−b)

y = (−1)

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer: 0.12, 1/8, 14%, 0.2

Step-by-step explanation:

We can try and convert everything to a decimal in order to make things easier. 0.12 and 0.2 are already given to us. Now we convert 1/8 to a decimal by dividing 1 by 8 and you should get 0.125. Next convert 14% to a decimal by moving the decimal place 2 places foward, which gives you 0.14. Your numbers are 0.12, 0.2, 0.125, and 0.14 now you place them into order from least to greatest. Since one of them is three digits you can make the rest three digits to make it easier. 0.120, 0.200, 0.125, 0.140.

Your final answer would be 0.12, 0.125, 0.14, 0.2

No aswer is correct

Step-by-step explanation: