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2 years ago

What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)

Mathematics

1 answer:

lozanna [386]2 years ago

4 0

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

m=-1/4

the slope of the new line is -1/4

here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

6=-1/4(-4)+b

6=1+b

5=b

the y intercept is 5

so our equation is:

y=-1/4x+5

hope this helps! :D

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Hi!

The answer is x=3± $\sqrt{15}$

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2 years ago

The average daily temperature, t, in degrees fahrenheit for a city as a function of the month of the year, m, can be modeled by

Vikentia [17]

The answer will be t = $sin((m.\frac{\pi}{6})+55)$ average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

<h3>What is temperature?</h3>

Temperature is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

<h3>TO SOLVE:</h3>

$35cos(\frac{\pi}{6(m+3)}+55)\\\\35 cos(\frac{\pi m}{6} + 55 + \frac{\pi}{2})\\$

suppose $x = m.\frac{\pi}{6}+55$ and $\frac{\pi}{2} = 90$ degree

We know, cos(x+90°) = - sin(X)

⇒ $cos((m.\frac{\pi}{6})+55+90degree)$ degree = - $sin((m.\frac{\pi}{6})+55)$

⇒ t = $sin((m.\frac{\pi}{6})+55)$

Hence the answer will be t = $sin((m.\frac{\pi}{6})+55)$ average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

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brainly.com/question/27441712

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1 year ago

Colby made $66.50 for mowing 7 lawns. Let x represent the number of lawns mowed and y represent the amount of money earned. Writ

Amanda [17]

Answer:

x = 9.5y

Step-by-step explanation:

7 lawns = $66.50

1 lawn = $66.50 ÷ 7

= $9.50

You now know that for one lawn mowed, the amount of money earned is $9.50. Thus:

1x = 9.5y

x = 9.5y

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2 years ago

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il63 [147K]

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2 years ago

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BlackZzzverrR [31]

Answer:

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2 years ago