Imagine your friend uses long division to determine the quotients, and is confused by how quickly you were able to determine the correct answer without performing long division. Explain how you were able to determine the quotients without performing long division.

Answers

Answer 1

Answer:

Answer:

Long division is a method used to divide two numbers and find the quotient and remainder. However, in this case, we were not performing long division to determine the quotients. Instead, we were rearranging the given equation into slope-intercept form, which is a different mathematical process.

In the given equation 14x = 6y - 12, we were asked to express it in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. To do this, we isolated the y variable on one side of the equation.

By rearranging the equation and dividing both sides by 6, we obtained y = (14/6)x + 2, which simplifies to y = (7/3)x + 2. This form allows us to directly see the slope (7/3) and the y-intercept (2) without having to perform long division.

So, in this case, the approach used was not long division but rather algebraic manipulation to transform the equation into a specific form that provides information about slope and intercept.

Step-by-step explanation:

thank you................

mark as brainliest

Related Questions

Explain your answer please.... I would like to know how to solve it myselfConsider the following set of equations: Equation M: y = x + 4 Equation P: y = 3x + 6 Which of the following is a step that can be used to find the solution to the set of equations? x = 3x + 6 x + 4 = 3x + 6 x + 6 = 3x + 4 x = 3x
A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y?
Please help there’s a picture 60°60Y=?
Approximate radius (Geometry) Can someone please help me in detail if two spherical pieces of cookie dough have radii of 3cm and 5cm. The pieces are combined to form one large spherical piece of dough. What is the approx radius of the new sphere of dough?
Create an equation. Use the graph below to create the equation of the rainbow parabola.Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0.Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

At best buy they have a 42" TV that sells for $1250 and is on sale 15% and sales tax is 6%.What is the final cost?

Answers

ok so
sale is 15% off
and add 6% tax

100-15=85
100+6=106

therefor
1250 with 15% discount plus 6% tax means
1250 times 85% times 106% =
1250 times 0.85 times 1.06=1126.25
final cost=$1126.25

First Find 15% of the original price to find the sales price.

1250 x 0.15= 187.50

1250 - 187.50= 1062.5

Then to find your tax, multiply 1062.50 by 0.06.

1062.50 x 0.06= 63.75

Your total price would be: 1126.25 :)

Distance between each pair X(-3,-2) and T(-6,5)

Answers

Answer:

XT ≈ 7.62 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }$

let (x₁, y₁ ) = X (- 3, - 2 ) and (x₂, y₂ ) = T (- 6, 5 )

substitute these values into the formula for d

d = $√((-6-(-3))^2+(5-(-2))^2)$

= $√((-6+3)^2+(5+2)^2)$

= $√((-3)^2+7^2)$

= $√(9+49)$

= $√(58)$

≈ 7.62 ( to 2 decimal places )

Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.

Answers

(3 • 596 + 5 • 860) can be the equation :)

Which of the following shows 12∕28 written in prime factored form to help in reducing the fraction to simplest form? A. 7×2×2∕3×2×2 B. 3×2×2∕7×2×2 C. 3∕7 D. 6×2 ∕7×4

Answers

Writing the numerator and denominator in prime factor form we get: 12 = 2*2*3. 28 = 2*2*7. So 12/28 = 2*2*3 / 2*2*7. So the correct answer is B.3*2*2 / 7*2*2.

Answer: B. $(3*2*2)/(7*2*2)$