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3 years ago

Determine the standard form of the equation of the line that passes through (-7 8) and (0 -8)

Mathematics

2 answers:

Gwar [14]3 years ago

8 0

Answer: The answer is c

6x + 7y = 14

Step-by-step explanation:

777dan777 [17]3 years ago

6 0

Find the slope
m = (y₂ - y₁)/(x₂ - x₁)
m = (-8-8)/(0+7)
m = -16/7

Find the equation
y - y₁ = m(x - x₁)
y - 8 = -16/7 (x + 7)
7(y -8) = -16 (x + 7)
7y - 56 = -16x - 112
16x + 7y = -56

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Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

Alekssandra [29.7K]

<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>

7 0

3 years ago

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1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each b

suter [353]

Answer: $14.5

Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage

4 0

2 years ago

A rectangular

igor_vitrenko [27]

A = length x width

15,000 = (w + 30) x w
15,000 = $w^{2}$ + 30w
0 = $w^{2}$ + 30w - 15,000

Use quadratic formula to find that w= -15 + or - 5 $\sqrt{609}$ . Because distance cannot be negative, the width is -15 + 5 $\sqrt{609}$ meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.

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3 years ago

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)

Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

$y = mx + b$

$y = 3x + b$

To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

$1 = 3(2) + b$

$1 = 6 + b$

$b = -5$

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

$y = 3x - 5$

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3 years ago

Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s

Natasha2012 [34]

Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30

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3 years ago

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