All categories

3 years ago

Through: (4, -2), parallel to y = - 3/4x - 4

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer:

y = -3/4x +1

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line you want is -3/4. The point-slope form of the equation of a line is useful when you have this information:

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

y -(-2) = -3/4(x -4)

If you want slope-intercept form, you can rearrange this ...

y +2 = -3/4x +3

y = -3/4x +1 . . . . . . subtract 2 from both sides

You might be interested in

Find the values for a and b.

IrinaK [193]

Answer:

the value of a and b is 68

Step-by-step explanation:

the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.

6 0

3 years ago

Read 2 more answers

34 X 19/38 reduced to lowest term

torisob [31]

19/38 = 1/2 (divided top and bottom by 19)

34 X 19/38

= 34 X 1/2

= 34/2

= 17/1

Answer

17/1 (or 17)

7 0

3 years ago

Out of 50 basketball players trying to make a team, 5 will be chosen. 36 of the 50 are seniors and the remaining players are jun

AveGali [126]

Answer: 5503680

Step-by-step explanation:

The coach wants 2 senior out of 36 so he have

C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260

possibilities

Now he also wants 3 juniors out of 14

C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184

Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore

Coach has

2184 * 1260 = 2751840 possibilities to choose from

Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be

2751840*2 = 5503680

6 0

3 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish

Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

μ = population mean = 11 lb

s = population standard deviation = 6

n = sample size = 4

1st: Calculating for z when x = 8.6 lb

z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

Probability (x = 8.6 lb) = 0.2119

2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

Probability (x = 14.6 lb) = 0.8849

Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x ≤ 14.6 ) = 0.673 (ANSWER)

8 0

3 years ago

The diagram shows a right triangle and three squares. The area of the largest square is 55 units.

Keith_Richards [23]

Answer:

Step-by-step explanation:

Well the sides of the smaller squares have to be greater than the biggest when put together.

a + b > c

So we need to find the square root of 55.

$\sqrt{55}$

≅ 7.4

Now for option A)

srt ⇒ 12 ≅3.5

srt ⇒ 43 ≅ 6.6

3.5 + 6.6 = 10.1

So option A is correct.

Option B)

srt ⇒ 14 ≅ 3.7

srt ⇒ 40 ≅ 6.3

3.7 + 6.3 = 10

So option B is also correct.

Option C)

srt ⇒ 16 = 4

srt ⇒ 37 ≅ 6.1

4 + 6.1 = 10.1

So option C is also correct.

Therefore,

all options are correct.

Hope this helps :)

6 0

4 years ago

Read 2 more answers