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3 years ago

2/15=c/72 solve the proportion

Mathematics

2 answers:

Andreyy893 years ago

7 0

Simplify both sides of the equation by c, then isolat the variable.
Then comes out as c = 48/5
Hope this helps! :)

Aleksandr [31]3 years ago

6 0

Cross multiply
72 x 2 = 15c
144 = 15c
Divide each side by 15
c = 9.6

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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

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Y=x3 is that a function?

kotykmax [81]

Answer:

yes

Step-by-step explanation:

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3 years ago

What is the pattern here?

tigry1 [53]

To get the number at the back, you would need to multiply the number in front by 3 and minus 1.
The answer would be A

8 0

3 years ago

3-18 even problems algebra 1 math

Tresset [83]

The answers for problems 13-18 are -9, 8, -2, 5, -2, and 15 after equating the same functions.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

From problems 13 - 18, some functions are shown,

13) h(x) = -7x, h(x) = 63

Equate both the function:

-7x = 63

x = -9

14) t(x) = 3x, t(x) = 24

Equate both the function:

3x = 24

x = 8

15) m(x) = 4x + 15, m(x) = 7

4x + 15 = 7

4x = -8

x = -2

16) 6x - 12 = 18

x = 5

17) 1/2 x - 3 = -4

1/2 x = -1

x = -2

18) j(x) = -4/5 x + 7, j(x) = -5

-4/5 x + 7 = -5

-4/5 x = -12

x = 15

Thus, the answers for problems 13-18 are -9, 8, -2, 5, -2, and 15 after equating the same functions.

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1 year ago