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3 years ago

5x+6y=18and 18x-15y=36 parallel or perpendicular

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer:

They are neither parallel nor perpendicular, since slope are different and not related by any equation

Step-by-step explanation:

First arrange them according to general equation:

$y = mx + c$

for the first equation :

$5x + 6y = 18 \\ 6y = - 5x + 18 \\ { \boxed{y = - \frac{5}{6} x + 3}}$

for the second equation :

$18x - 15y = 36 \\ 15y = 18x - 36 \\ y = \frac{18}{15} x - \frac{12}{5}$

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aleksley [76]

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3 years ago

12^13–12^12+12^11 is divisible by 7 and 19.

fiasKO [112]

Answer:

The statement is true

Step-by-step explanation:

The question is as following :

$12^{13}-12^{12}+12^{11}$ is divisible by 7 and 19, true or false?

The given expression is $12^{13}-12^{12}+12^{11}$

Take $12^{11}$ as a common

$12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19$

So, $12^{11} * 7 * 19$ divided 7 = $12^{11} * 19$

And $12^{11} * 7 * 19$ divided 19 = $12^{11} * 7$

$12^{13}-12^{12}+12^{11}$ is divisible by 7 and 19 (True)

8 0

3 years ago

A line with a slope of -2 is written in the form y=mx+b.

yanalaym [24]

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

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3 years ago

-5-(-2) please help A -30 B30 C-1 D1

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

-3

7 0

3 years ago

Read 2 more answers

F(x)=x^2+16 <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E%7B2%7D%20%20%2B%2016" id="TexFormula1" title="f(x) = x^{2

deff fn [24]

$f(x) = {x}^{2} + 16 \\ \: \: \: \: \: \: \: \: \: \: \: (x - 4)(x + 4) \\ \: \: \: \: \: \: \: \: \: \: \: x = 4 \: \: \: \: \: x = - 4$

7 0

3 years ago