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3 years ago

Use slopes to determine if the lines y= -x/3- 9 and 6x – 2y = -5 are perpendicular.

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

Answer:

They are perpendicular.

Step-by-step explanation:

When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.

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Simplify the expression

yaroslaw [1]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
5^{-2}\div 5^4\implies \cfrac{5^{-2}}{5^4}\implies \cfrac{1}{5^25^4}\implies \cfrac{1}{5^{2+4}}\implies \cfrac{1}{5^6}\implies \cfrac{1}{15625}$

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3 years ago

Encuentre el valor de la variable en la siguiente ecuación<br><br> 4−x7=−8

melisa1 [442]

Answer:

x = 1.71428571429 (1.7)

Step-by-step explanation:

4 - 7x= -8

-4 -4

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x = 1.71428571429

x = 1.7

7 0

2 years ago

Please help ASAP

gtnhenbr [62]

Put the value of x = -2 to the equation of the function y = -4x + 3:

y = -4(-2) + 3 = 8 + 3 = 11

<h3>Answer: A. (-2, 11)</h3>

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3 years ago

HELP PLEASE I NEED THIS DONE

Oduvanchick [21]

Answer:

138.3ft^3

Step-by-step explanation:

Volume for cylinders : V = pi*r^2*h

Volume for cones : V = pi*r^2*(h/3)

Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.

Volume for cylinder is about 125.7ft^3

Volume for cone is about 12.6ft^3

Then just add them together for a total of 138.3ft^3

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3 years ago

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IgorC [24]

Set up 2 different equations for each day and then solve using substitution or elimination

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3 years ago