The difference in the x-coordinates of two points is 3. and the difference in the y-coordinates of the two points is 6
What is the slope of the line that passes through the points?
2
3
6
9

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

Answer:

-4

Explanation:

when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.

Answer: -4

Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.

So we have -1 + -1.

Now let's use a number line to find our answer.

Starting at 0, -3 moves us 3 units to the left, then from there,

-1 moves us 1 more unit to the left and we end up at -4.

So -3 + -1 is -4.

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

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Answer:

C

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

Answer:

C.

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

Answer:

-3901 silver coins (a loss)

Step-by-step explanation:

Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.

Therefore:

The probability of not surviving the quest = 100%-85.4% =14.6%

Therefore, the expected value of this insurance policy to the insurance company

[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]

The expected value of this insurance policy to BIC is -3901 silver coins

The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins

So here the expected value is

= 85.4% of 5,533 + (14.6% of -59,086)

= -3901

Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

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Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

the answer is ur guy

Answer:

Does this help?

Step-by-step explanation:

Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.

Answer:

Solution,

Let the length and breadth of smaller rectangle be l and b.

Length and breadth of larger rectangle be 3L and 3 b.

Besides, depth is same in both beds.

As area of small rectangle=180

Area of larger rectangle:

[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

[tex]H(x)=-5x^2+10x+15[/tex]

At the time when the stone was thrown

x=0

Therefore:

[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]

The height of the stone at the time it is thrown is 15 units.

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> [tex]\frac{1}{12}[/tex] = 0.8333.........

=> [tex]\frac{7}{8}[/tex] = 0.875

=> [tex]\frac{14}{25}[/tex] = 0.56

=> [tex]\frac{17}{20}[/tex] = 0.85

=> [tex]\frac{6}{10}[/tex] = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.

Complete Question

90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.

• You are meeting a flight that departed on time. What is the probability that it will arrive on time?

• You have met a flight, and it arrived on time. What is the probability that it departed on time?

• Are the events, departing on time and arriving on time, independent?

Answer:

1st Question

       [tex]P(X_1) = 0.833[/tex]

2nd  Question

      [tex]P(X_2) = 0.938[/tex]

3rd Question

      The probabilities are not independent

Step-by-step explanation:

From the question we are told that

    The  probability of flight that depart on time is  P(DT) = 0.9

      The probability of flights that arrive  on time  is  [tex]P(AT) = 0.8[/tex]

     The  probability of flight that depart on time and arrive on time is  [tex]P(DT\ |\ AT) = 0.75[/tex]

    In the first question the flight is departed on time  so the probability that it will arrive on time is  

         [tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]

substituting values

         [tex]P(X_1) = \frac{0.75}{0.9}[/tex]

        [tex]P(X_1) = 0.833[/tex]

In the second question the flight arrived on time, so the probability that it departed on time is  mathematically evaluated as follows

           [tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]

substituting values

           [tex]P(X_2) = \frac{0.75}{0.8}[/tex]

           [tex]P(X_2) = 0.938[/tex]

Looking at the given and calculated values we see that the probability of  depart on time and arrive is not equal to the probability of  depart on time,

    i.e 0.75 =  0.8

the probability of  depart on time and arrive, and  the probability of depart on time are not independent

1 pound = 16 ounces.

9 pounds of sand x 16 = 144 total ounces of sand.

144 ounces / 6 ounce bottle = 24

He made 24 bottles.

Answer:

24 bottles

Step-by-step explanation:

Trevor bought 9 pounds of sand

He fills 6-ounce bottles

First let's convert pounds to ounces:

Now, number of bottles required:

31.7 + 42.8 + 26.4 + x/4 = 39.1

Add up all the plain numbers on the left side:

100.9 + x/4 = 39.1

Subtract 100.9 from each side:

x/4 = 39.1

Multiply each side by 4:

x = 156.4

Answer:

Step-by-step explanation:

To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:

31.7 + 42.8 + 26.4 + x = 100.9 + x

The sum of terms ind the numerator of the fraction on the right.

39.1 + 100.9 + x= 140 + x

Next step is to cancel out the denominators as they are equal.

Now we are left with

100.9+x = 140+x

Rearrange and solve

To get x = 156.4

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Answer:

5/8

Step-by-step explanation:

72 = 16/10 of 45

45 = 10/16 = 5/8 of 72

Answer:

The answer is y=3/4+5 (C)

Step-by-step explanation:

You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.

The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.

From the given graph, the coordinate points are (4, 8) and (16, 17).

Here, slope (m) = (y₂-y₁)/(x₂-x₁)

= (17-8)/(16-4)

= 9/12

= 3/4

Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get

8=3/4 ×4+c

8=3+c

c=5

Substitute m=3/4 and c=5 in y=mx+c, we get

y=3/4 x+5

Therefore, the correct answer is option C.

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Answer:

c. Not enough information

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

Answer:

[tex]\boxed{}[/tex] =1,000

Step-by-step explanation:

We want to solve: [tex]2{,}000 \times 9[/tex]

Now, 2000=1000 X 2

We were given the following steps:

[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]

Therefore, the blank space is to be filled with 1000.

[tex]2{,}000 \times 9 =18{,}000[/tex]

Answer:

(a)5 and 8

(b)5 and 5

(c) 7 and 5

(d)6 and 2

(e)6 and -2

Step-by-step explanation:

(a)a negative integer

We consider the integers 5 and 8

Difference = 5-8 =-3

3 is a negative integer.

(b)Zero

We consider the integers 5 and 5

Difference = 5-5 =0

(c) an integer smaller than both the integer.

We consider the integers 7 and 5

Difference = 7-5 =2

2 is smaller than both integers.

(d) an integer smaller than only one of the integers.

We consider the integers 6 and 2

Difference =6-2=4

4 is smaller than only 6.

(e)an integer greater than both the integers

We consider the integers 6 and -2

Difference =6-(-2)=6+2=8

8 is greater than both 6 and -2.

Answer:

Hello There. The correct answer is 10^(-4)

Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)

ItsNobody~

Answer:

radius =6, circumference=37.7 m

Step-by-step explanation:

radius=12/6, circumference=2*pie*r

2*22/7*6=37.7 m

Answer:

Circumference of a circle = 2πr

where r is the radius

radius = diameter / 2

radius = 12 / 2 = 6 m

radius is 6 meters

Circumference = 2π×6

= 12π

= 37.7 meters

Hope this helps

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay, here we have the equation of the sine wave as;

y = asin(k(x + b))

By definition a represents the amplitude

k represents the frequency

b represents the horizontal shift or phase shift

Now let’s take a look at the graph.

By definition, the amplitude is the distance from crest to trough. It is the maximum displacement

From this particular graph, amplitude is 4

K is the frequency and this is 1/period

The period ;

Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)

F = 1/T = 1/1/2 = 1/0.5 = 2

b is pi/4 ( phase is positive as it is increasing rightwards)

So the correct option here is C

Answer: it is

a=4, k=2, and b= pi/4

Step-by-step explanation:

got it right on A P E X

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

[tex]\frac{5}{9} = \frac{15}{9}[/tex]

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

Answer:

1) A = (3 + 5·i) + (2  - 3·i)

2) A = (-3 + 5·i) + (-2  - 3·i)

3) A = (-3 + 5·i) + (2  + 3·i)

4) A = (3 - 5·i) + (2  + 3·i)

Step-by-step explanation:

1) For the first chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 + 5·i) + (2  - 3·i)

2) For the second chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (-2  - 3·i)

3) For the third chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (2  + 3·i)

4) For the fourth chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 - 5·i) + (2  + 3·i)

Answer:

Coordinate of C =  (22, 20)

The Complete Question related to this found at ELEVISE website is stated below:

A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Point C is marked on the diagram.

Work out the coordinates of C.

Step-by-step explanation:

Coordinates (x, y)

Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Find attached the drawing

From the labelled diagram

Change in y = 36-7 = 29

Change in x = 38-6 = 32

Using the horizontal axis:

The length of congruent 4 squares is between 38 and 6 = 32

The length of each congruent 4 squares = 32/4

The length of each congruent 4 squares = 8

Therefore the dimensions of the square is 8 by 8

Coordinate of C (x, y)

For x axis = 38 - length of 2 squares OR 6+ length of 2 squares

38 - length of 2 squares =38 - 2(8)

= 38-16 = 22

For y axis = 36 - length of 2 squares

= 36 - 2(8)

= 36-16 = 20

Coordinate of C =  (22, 20)