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2 years ago

write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)

1 answer:

7 0

Ok so we’ll put the first equation into slope int form

4y=2x-9

y=1/2x -4/9

since the likes are parallel, the slope of the line we are trying to write an equation for is 1/2

equation:

y-2=1/2(x-7)

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(x-4)/5=9-(2x-41)/9

jok3333 [9.3K]

For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

$\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}$

$\mathbf{9(x - 4) = 405 - 5 (2x - 41)}$

$\mathbf{9x - 36 = 405 - 10x + 205}$

$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

3 0

2 years ago

As an introduction to probability, a student asked to roll a fair, six sided number cube seven times the results of those seven

frosja888 [35]

Using it's concept, the standard deviation of the data is of 3.742.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

$S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

#SPJ1

3 0

1 year ago

You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible squa

Pavel [41]

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

How do you factor: x^2-4x+2xy-8y?

hoa [83]

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

( $x^{2}$ −4x)+2xy−8y

Factor out the greatest common factor (GCF) from each group.

x(x−4)+2y(x−4)

Factor the polynomial by factoring out the greatest common factor, x−4.

(x−4)(x+2y)

I believe this is correct. Good luck.

3 0

3 years ago

IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST

Pavel [41]

1 because it’s inequality and compare between a and k

5 0

3 years ago