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zepelin [54]
3 years ago
15

Which equation represents a line which is parallel to the line 6x - 5y = 5?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

First we need to put the equation given in slope intercept form, y = mx + b

6x - 5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Now we have the equation in slope intercept form

y = 6/5x - 1

We want to find the equation that would be parallel to it

Parallel lines have the same slope

The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5

The only equation that has a slope of 6/5 is the top left one therefore that is the answer

Snowcat [4.5K]3 years ago
7 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

Simplify the given equation:

6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1

In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.

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3 0
3 years ago
Write down inequalities,that are satisfied by these sets of integers between -10 and 10
Anastaziya [24]

Answer:

Below

Step-by-step explanation:

Notice that x is between 10 and -10 but takes only the values that are integers.

The inequalities:

● we can write an inequality that includes all these values.

● -10 《 x 《 10

This is a possible inequality

Multiply both sides by 2 and you will get a new one:

● -20 《 2x 《 20

You can multiply it by any number to generate a new inequality.

Or you can add or substract any number.

8 0
3 years ago
From a thin piece of cardboard 40 in by 40 in, square corners are cut out so that the sides can be folded up to make a box. what
lutik1710 [3]
The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
  V = x(40-2x)²

You can differentiate this to get
  V' = 12x² -320x -1600
Setting this to zero and factoring gives
  (3x-20)(x-20) = 0
The appropriate choice of solutions is
  x = 20/3 = 6 2/3

The dimensions of the box of maximum volume are
  26 2/3 in square by 6 2/3 in deep

The maximum volume is
  (80/3 in)²(20/3 in) = 4740 20/27 in³

7 0
3 years ago
Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x
Serggg [28]

Answer:

Option A)

9x^2 - 36x + 35 = 0

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}

The sum of the roots and the product of the roots can be calculated as:

\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}

Standard form of quadratic equation:

x^2-(\alpha + \beta)x+\alpha\beta = 0

Putting values, we get,

x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0

is the required quadratic equation.

Thus, the correct answer is

Option A)

9x^2 - 36x + 35 = 0

5 0
3 years ago
Max and Emma are discussing their math homework and disagree on the answer for one question. Max says that integers are closed u
hram777 [196]

A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

A closure property is a certain rule that holds <u>if it is true for all elements of a set under the given operation</u> and a closure property does not hold <u>if there is at least one pair of elements that do not follow the closure property under the given operation.</u>

Therefore, Emma is correct, because you can find a counterexample (7:2=3.5) that gives you a non-integer answer.

Answer: correct option is B

4 0
3 years ago
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