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3 years ago

Please help me :)

Mathematics

2 answers:

Tatiana [17]3 years ago

4 0

Answer: the line AB and the line CD are perpendicular lines.

Explanation:

The easiest way to work this question is with a graph done at scale.

I elaborated the attached graph with the points A, B, C, and D, and the lines AB, AC, AC, and BD.

The line AB is in red, the line AC is in organe, the line CD is in green, and the line BD is in blue.

From that graph, you can discard quickly some choices, which will avoid some calculations.

The basis to answer this question are:

1) The slopes of parallel lines are equal

2) The product of the slopes of perpendicular lines is - 1, which implies that one slope is the negative inverse of the other slope.

3) Formula to calculate the slope:

slope = rise / run = Δy / Δx

So, now you can analyze each statement:

Are the line AB and line CD perpendicular?

They might be, so we must either measure the angle to check if it is 90° or calculate the slopes. I will calculate the slopes:

line AB:

slope = run / rise = (y2 - y1) / (x2 - x1) = (4 - 1) / (-2 - (-8) ) = 3 / 6 = 1 / 2

line CD:

slope = run / rise = (y2 - y1) / (x2 - x1) = (5 - (-1) ) / (- 6 - (-3) ) = 6 / (-3) = - 2

Bingo! Those slopes are perpendicular, because 1/2 * (-2) = - 1.

So, the answer to the problem is the first option: line AB and line CD are perpendicular lines.

Clearly the second option is absurd (it is the negation of the first one), the third option is also false because it is also the negation of the first one, and if you want you can calculate the slopes of the lines AC and BD, but the figure shows that they are not parallel.

Download pdf

Aneli [31]3 years ago

3 0

Lines AB and line CD are intersecting but are not exactly perpendicular

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liberstina [14]

Answer:

400

Step-by-step explanation:

240 is 60% of 400. That means that 400 people are in the class hope this helps.

4 0

2 years ago

Read 2 more answers

100 % if my grade and giving brainliest if answered correctly please helppp im failing

Gennadij [26K]

Answer:

Hope I'm not too late for this...

(look below)

Step-by-step explanation:

For the first part:

1. b = -1, m = 2

The y-intercept (b) is the value of y when x = 0. In this case, we can see that when x = 0, y = -1 so the y-intercept is -1.

The slope was found using the equation slope (m) = (y2-y1) / (x2-x1) and two points. (Note, you can choose any two points, I just chose the first two.)

(5,9) (-2,-5)

slope = (y2-y1) / (x2-x1)

slope = (-5-9) / (-2-5)

slope = -14/-7

slope = 2

I used the same steps as shown above:

2. b = 2, m = -3

For the second part:

1. y = 2x - 1

2.y = -3x + 2

I basically plugged in the values for m and b into the equation, y = mx + b.

Graphs:

The way to graph a line is to plot at least two points and draw a line through them. You can graph it using either the equation or the table. I used the table since it is much easier to find the points that I need.

Below I have included references to what the graph should look like if you need to check your work.

The one in blue is for the equation y = 2x - 1. This should help you get a visual of what the correct graph looks like.

The one in green is for the equation y = -3x + 2.

I hope this helped!

6 0

2 years ago

For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 a

aleksley [76]

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

7 0

3 years ago

Find the distance between the two given points H(-3,6) and C(-3,-3)

sweet [91]

Answer:

Similarly, the distance between two points P1 = (x1,y1,z1) and P2 = (x2,y2,z2) in xyz-space is given by the following generalization of the distance formula, d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2. This can be proved by repeated application of the Pythagorean Theorem.

Step-by-step explanation:

Use a calculator

3 0

3 years ago

1.8+3.5y+0.9+9=16.2<br> plz help

saul85 [17]

Answer:

The Awnser Is Y=9/7

Step-by-step explanation:

7 0

3 years ago