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3 years ago

Simplify (2x+5y) (2x+3y)

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

4 0

Answer: 4x^2+ 16xy+15y^2

Step-by-step explanation:

4x^2+6xy+10xy+15y^2

=>4x^2+ 16xy+15y^2

mina [271]3 years ago

4 0

Answer:

4x^2+16xy+15y^2

Step-by-step explanation:

(2x+5y)(2x+3y)

=2x*2x=4x^2

=2x*3y=6xy

=5y*2x=10xy

=5y*3y=15y^2

4x^2+6xy+10xy+15y^2

=4x^216xy+15y^2

Thankyou^^

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3 years ago

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

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3 years ago

1+4x/6=3.5<br> What is x

bagirrra123 [75]

Answer:

x=3+3/4

Step-by-step explanation:

1+4x/6=3.5

We move all terms to the left:

1+4x/6-(3.5)=0

We add all the numbers together, and all the variables

4x/6-2.5=0

We multiply all the terms by the denominator

4x-(2.5)*6=0

We add all the numbers together, and all the variables

4x-15=0

We move all terms containing x to the left, all other terms to the right

4x=15

x=15/4

x=3+3/4

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3 years ago

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one

alexdok [17]

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

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There are 19 options that can be chosen once.

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Here we have two selections:

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Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1: Here we have 19 options.

Topping number 2: Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

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3 years ago

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Answer:

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Step-by-step explanation:

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