Write the equation of the line that passes through points (3,5) and (5,3)

Mathematics

1 answer:

Citrus2011 [14]2 years ago

4 0

Answer:

6AM the best of your eyebrows to make it a new thing and t it already does abm have the right kind to make it a better t and more important for you but you will need more of your time and t for your work out there to make your own business easier for you than to make your life a new one you will have the best of luck and your life is not going on for a year to come back in a week to a time when u are a member or not a new person and t you want your life and

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One canned juice drink is 25%orange juice; another is 10%orange juice. how many liters of each should be mixed together in or

sertanlavr [38]

   Qty    · % = Total
Drink 1:    x .25 = .25x
Drink 2:   15 - x .10 = .10(15 - x)
Mixture: 15 .21 = .25x + .10(15 - x)

   (15)(.21)   =    .25x + 1.5 - .10x
   3.15 =    .15x + 1.5
   1.65 = .15x
   11    = x

Drink 1 (25%) is 11 liters
Drink 2 (10%) is 15 - 11 = 4 liters

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Question 6

kykrilka [37]

Answer:

m=Y2–Y1/X2–X1

$m = \frac{ - 9 - (6)}{1 - ( - 4)} \\ m = \frac{ - 15}{5} = - 3 \\ y = mx + b \\ y = - 3x + b$

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55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:<br>

ladessa [460]

Answer:

$\large\boxed{(x+y)^2:(x-y)^2=49}$

Step-by-step explanation:

$3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\\\\3x-3y=y\qquad\text{distributive}\\\\3(x-y)=y\qquad\text{divide both sides by 3}\\\\x-y=\dfrac{y}{3}\qquad(*)\\------------------\\3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\\\\3x+3y=7y\qquad\text{distributive}\\\\3(x+y)=7y\qquad\text{divide both sides by 3}\\\\x+y=\dfrac{7y}{3}\qquad(**)\\------------------$

$(x+y)^2:(x-y)^2=\dfrac{(x+y)^2}{(x-y)^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x+y}{x-y}\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\\\\=\left(\dfrac{\frac{7y}{3}}{\frac{y}{3}}\right)^2=\left(\dfrac{7y}{3}\cdot\dfrac{3}{y}\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\\\\=(7)^2=49$

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2 years ago