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2 years ago

What is the equation in point slope form of a line that is parallel to the given line and passes through the point (4,1)

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

6 0

The equation will have the form y=ax+b. a is the slope, and b is the y value at x=0.

The slope is -2 (that's our a), which you can see from the two given points. If x progresses from -3 to -2, y goes from 3 to 1. At x=0, the line crosses through y=-3 (that's our b)

So our generic form y=ax+b for this line is y=-2x-3

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Please answer right awat

likoan [24]

Answer:

The correct answer option is 0.2.

Step-by-step explanation:

We are given that there are 3 red marbles and 3 green marbles in an opaque bag.

If two marbles are chosen one after one without replacement, we are to find the probability of getting both green marbles.

P (1st green marble) = $\frac { 3 } { 6 }$

P (2nd green marble) = $\frac { 2 } { 5 }$

P (both green marbles) = $\frac { 3 } { 6 } \times \frac { 2 } { 5 }$ = 0.2

6 0

3 years ago

To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.90 per hour. The chemistr

Lemur [1.5K]

Answer:

Step-by-step explanation:

Rounding

Your cost just for the room is 41

You pay 7.90 for Your hours of being there

And your Budget is 96.30

the equation wants you for figure how many hours would you be there at the establishment that you would pay your full budget 96.30 or closer and You would only pay 41.00

4 0

3 years ago

HELPPP!!

sdas [7]

SOLUTION:

A box has a square base of side x and height y where x,y > 0.
Its volume is V = x^2y and its surface area is S = 2x^2 + 4xy.
(a) If V = x^2y = 12, then y = 12=x^2 and S(x) = 2x^2 C 4x (12=x2) = 2x2 + 48x^-1. Solve S'(x) = 4x - 48x-2 = 0 to obtain x = 12^1/3. Since S(x/) ---> infinite as x ---> 0+ and as x --->infinite, the minimum surface area is S(12^1/3) = 6 (12)^2/3 = 31.45, when x = 12^1/3 and y = 12^1/3.

(b) If S = 2x2 + 4xy = 20, then y = 5^x-1 - 1/2 x and V (x) = x^2y = 5x - 1/2x^3. Note that x must lie on the closed interval [0, square root of 10]. Solve V' (x) = 5 - 3/2 x^2 for x>0 to obtain x = square root of 30 over 3 . Since V(0) = V (square root 10) = 0 and V(square root 30 over 3) = 10 square root 30 over 9 , the maximum volume is V (square root 30 over 3) = 10/9 square root 30 = 6.086, when x = square root 30 over 3 and y = square root 30 over 3 .

5 0

2 years ago

Please answer this. i’ve asked 3 questions of this same thing bc people don’t even answer them, i’ll give brainliest to whoever

Stels [109]

We will be using the formula: Speed = Wavelength * Frequency

1. Given: Wavelength = 5 m and Frequency = 2 Hz

Speed of the wave = Wavelength * Frequency

Speed of the wave = 5 * 2

Speed of the wave = 10 m/s

__________________________________________________________

2. Given: Speed of the wave = 100 m/s and Frequency= 1000 Hz

Wavelength = Speed / Frequency

Wavelength = 100 / 1000

Wavelength = 0.1 m

__________________________________________________________

3. Given: Speed of the Wave = 25 m/s Wavelength = 5 m

Frequency = Speed / Wavelength

Frequency = 25 / 5

Frequency = 5 Hz

7 0

3 years ago

Which pairs are solutions to the equation?

klio [65]

The answer is C) (1,7)and (7,1). In order to find the correct answer ,just substitute the numbers for x and y in the problem,so:5(1)(7)+9=44 .35+9 =44,44=44 ,so that's true .Then check the other set of given numbers by substituting for x and y :5(7)(1)+9=44,35*1=35+9= 44,therefore 44=44 ,so both sides are true.*Also remember x is always the first number given,and then y.*

8 0

2 years ago