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3 years ago

Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?

Mathematics

1 answer:

azamat3 years ago

4 0

Look at the first line: y = (3/5)x - 3. What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation,

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line. Since 5y = 3x is present in both equations, the two lines MUST be parallel.

y = 4
4y = 6 => y = 6/4

y+4 and y =3/2 are both horizontal lines. Since they are horiz., they are parallel.

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John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept fo

yKpoI14uk [10]

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

$\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6$

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2 years ago

Pls help extra points and mark brainlist

juin [17]

Answer:

it is c none of the above

Step-by-step explanation:

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3 years ago

PLZ HURRY WILL MARK BRAINLIEST IF RIGHT

postnew [5]

I think the answer is C.

Good luck!

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3 years ago

12 boys share water even the amongst 12 canteens how much water would each boy get in their canteen

miss Akunina [59]

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4 0

3 years ago

Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.

zlopas [31]

9514 1404 393

Answer:

rewrite: 2x^2 +5x +20x +50
factored: (x +10)(2x +5)

Step-by-step explanation:

I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.

You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.

100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10

The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.

The trinomial can be rewritten using these factors as ...

2x^2 +5x +20x +50

Then it can be factored by grouping consecutive pairs:

(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)

_____

<em>Additional comment</em>

It doesn't matter which of the factors of the pair you write first. If our rewrite were ...

2x^2 +20x +5x +50

Then the grouping and factoring would be (2x^2 +20x) +(5x +50)

= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring

6 0

2 years ago