What is 12.8 rounded to the nearest hundred

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

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Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

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4 0

2 years ago

Given that the two triangles are congruent for which value of x are the triangles congruent?

Whitepunk [10]

Answer: 1

Since the triangles are congruent, the side lengths will also be equal.

2x - 3 = x - 2

2x - x = - 2 + 3

x = 1

So if x is 1 then the two triangles will be congruent...

Brainliest pweasee if the answer is correct! <3

5 0

3 years ago

Condense the expression log 2x + log(x² - 9) - log x +3

Rudik [331]

Here the my solutions,hope you understand

4 0

2 years ago

. Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement b

Umnica [9.8K]

Answer: a.This is the average number of days the house stayed on the market before being sold for $150,000.

Step-by-step explanation:

Given: f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

To find the meaning f(150),

here p= 150 which means f(150) is the average number of days a house stays on the market before being sold for price 150 in $1,000s.

And 150 in $ 1,000= $150,000

Therefore, f(150) is the average number of days a house stays on the market before being sold for price $150,000.

7 0

3 years ago

Read 2 more answers

The total cost of 5 boxes of pasta is $13. There are 12 ounces of pasta in each box. Each box of pasta cost the same amount. Wha

Bas_tet [7]

Answer: $10.40

Explanation:

First, find the cost of 1 box of pasta. 13/5 = 2.6, so $2.60 a box.

Next, find how many boxes there are. 48/12 = 4, so 4 boxes of pasta.

Finally, multiply 4*2.6 to get the final cost.

6 0

3 years ago