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2 years ago

Part A -

Mathematics

1 answer:

Temka [501]2 years ago

6 0

Answer:

I love the fact you have a right now and you know that you have a right now and I will be happy with the offer of your services to you and your company and I hope to be the one to assist with the process and I can spend some more work to help you

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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$}$

$\rule{300}{3}$

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

$\rule{300}{1}$

4 0

2 years ago

What is the value of 3/10 to the power of three

Zielflug [23.3K]

0.003? 3/(10^3). Wdym

3 0

3 years ago

What is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B44mx%5E%7B3%7D%20n%5E%7B11%7D" id="TexFormula1" title="\sqrt{44mx^{3} n^{11}

My name is Ann [436]

2xn^5 √ 11mxn
good luck pls mark brainliest

5 0

3 years ago

Y= 5x - 9; domain = { 1,3,7 }<br> what is the range values?

Maslowich

Answer:

Step-by-step explanation:

range = [-4,6,26]

Step-by-step explanation:

y = 5x - 9.....domain = [1,3,7]....the domain is ur x values, and I am assuming ur looking for the y values that go with the x ones

y = 5x - 9.....when ur domain (ur x) = 1

y = 5(1) - 9

y = 5 - 9

y = -4

y = 5x - 9...when ur domain (x) = 3

y = 5(3) - 9

y = 15 - 9

y = 6

y = 5x - 9...when ur domain(x) is 7

y = 5(7) - 9

y = 35 - 9

y = 26

so ur range (ur y valus) = [-4,6,26]

6 0

3 years ago

how to find domain and range in a graph and will give the bainliest to whoever explains to me on how to do it.

AveGali [126]

To find the domain of a graph observe the intervals of x that the line touches, and make an inequality of it. Same for the range but it's for the intervals of y. If the graph goes forever, then include "infinity" on the inequality

7 0

3 years ago