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3 years ago

Alright, please help if can!

Mathematics

1 answer:

AleksandrR [38]3 years ago

6 0

Answer:

copy and paste in a tab and you should get answer

Step-by-step explanation:

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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

The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?

Rzqust [24]

In this case, the best method starts with finding one percent of the selling price. To do this, divide the commission ($11825) by 5.5. This gets you 1%, which is $2150. Next, multiply this number by 100, turning 1% into 100%. Your final answer is $215,000.

8 0

4 years ago

Put these from greatest to least 20.7, 0.7, 2.7, 7.2, 0.07

Mrrafil [7]

Answer:

7.2 2.7 0.7 0.07

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the points (8,-4) and (6,-5)? Put your answer in fully reduced form

irina1246 [14]

Answer:

y2-y1/x2-x1

-5+4/6-8

1/2

so the slope we know is 1/2x now we use point slope form for the equation

y+4=1/2(x-8)

y+4=1/2x-4

y=1/2x-4-4

y=1/2x-8

answer = y=1/2x-8

Thank you :)

6 0

3 years ago

A car insurance company has determined that 9% of all drivers were involved in a car accident last year. among 14 drivers living

andriy [413]

The probability of getting 3 or more who were involved in a car accident last year is 0.126.

Given 9% of the drivers were involved in a car accident last year.

We have to find the probability of getting 3 or more who were involved in a car accident last year if 14 were selected randomly.

We have to use binomial theorem which is as under:

n $C_{r}p^{r} (1-p)^{n-r}$

where p is the probability an r is the number of trials.

Probability that 3 or more involved in a car accident last year if 14 are randomly selected=1-[P(X=0)+P(X=1)+P(X=2)]

=1-{ $14C_{0}0.9^{0} (0.1)^{14} +14C_{1} (0.9)^{1} (0.1)^{13} +14C_{2} (0.9)^{2} (0.1)^{12}$ }

=1-{1*0.2670+14!/13!*0.9*0.29+14!/2!12!*0.0081*0.2358}

=1-{0.2670+0.3654+0.2358}

=1-0.8682

=0.1318

Among the options given the nearest is 0.126.

Hence the probability that 3 or more are involved in the accident is 0.126.

Learn more about probability at brainly.com/question/24756209

#SPJ4

7 0

2 years ago