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2 years ago

describe the steps you would take to transform the equation 10x + 2y = 25 into the equation y = -5x + 25/2

1 answer:

4 0

$10x + 2y = 25$
Then rearrange the equation to get 10x on the same side as 25.

Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.

Continuing on once rearranged, your equation will look like,
$2y = - 10x + 25$

Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
$\frac{2y}{2} = \frac{ - 10x + 25}{2}$
Dividing both sides by 2, you will get,
$y = - 5x + \frac{25}{2}$
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.

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A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the

vladimir2022 [97]

Answer: the distance from one corner of the field to the other corner is 136 m

Step-by-step explanation:

The distance from one corner to the other corner is the diagonal and it

divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 110² + 80²

d² = 12100 + 6400 = 18500

d = √18500

d = 136 meters

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2 years ago

Round to the nearest tenth if necessary. 60% of 68 is what number?..

galina1969 [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

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2 years ago

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spayn [35]

Answer:

$x\geq -8$

Step-by-step explanation:

4 0

2 years ago

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a leng

Vesnalui [34]

The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.

<h3>What is a Rectangle?</h3>

A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).

<h3>What is the Area of a Rectangle?</h3>

The area of a rectangle = (length of rectangle)(width of rectangle).

Given the following parameters for the patio and the bench:

Length of rectangular patio = x + 20
Width of rectangular patio = x + 10
Length of rectangular bench = 6
Width of rectangular bench = 2

Area to be painted = area of rectangular patio - area of rectangular bench

Area of rectangular patio = (x + 20)(x + 10)

Area of rectangular bench = (6)(2) = 12

Area to be painted = (x + 20)(x + 10) - 12

The answer is: B. A = (x + 20)(x + 10) - 12.

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

4 0

1 year ago