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3 years ago

What is the equation of the line that goes through (4,6) and is perpendicular to y= -1/2x +3? Showing steps

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

Answer:

y=1/2x+4

Step-by-step explanation:

a perpandicular line can be made by just making the x negative, or , since it's already negtive, positive.

so i'll start with

y=1/2x+k (just basic equation w no values)

6=2+k (adding values of the coordinate)

4=k (simplifying)

y=1/2x+4 (plugging k back in to the equation)

borishaifa [10]3 years ago

7 0

Answer:

y = 2x - 2

Step-by-step explanation:

A line perpendicular to y= -1/2x +3 has slope 2, which is the "negative reciprocal" of the given slope -1/2.

Start with y = mx + b. This new line passes thru (4, 6) and has slope 2.

Then: 6 = 2(4) + b, or b = -2.

The desired equation is y = 2x - 2.

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When an amount of heat Q (in kcal) is added to a unit mass (kg) of a

lisov135 [29]

Answer:

The change in temperature per minute for the sample, dT/dt is 71. $\overline {6}$ °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

$\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)$

$\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)$

Therefore, we get;

$\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}$

$\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C } = 71.\overline 6 \, ^{\circ } C/min$

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

$\dfrac{dT}{dt} = 71.\overline 6 \, ^{\circ } C/min$

8 0

3 years ago

Rewrite 3 x 6/8 as the product of a unit fraction and a whole number

iragen [17]

3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4

4 0

3 years ago

Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo

Hatshy [7]

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

$1\ miles = \frac{1}{41}\ gallons$

Now find out for the 617.3 miles.

Thus

$617.3\ miles = \frac{617.3}{41}\ gallons$

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$617.3\ miles = 15\ gallons\ (Approx)$

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

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3 years ago

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cricket20 [7]

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the input value in the x column is multiplied by 5 to get the output value in the y column

3 0

2 years ago

Read 2 more answers

Solve for <br> (6x + 9)/3 =

hammer [34]

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

3 0

3 years ago