4. Which equation below shows a correct use of the distributive property? a. 2(3 + 5) = (2 + 3) x (2 + 5) b. 2(3 + 5) = (2 x 3) + 5 c. 2(3 + 5) = 2(5 + 3) d. 2(3 + 5) = (2 x 3) + (2 x 5)

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

[tex]A = (3,1)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-5,1)[/tex]

Required

Find D

Let the coordinates of D be:

[tex]D = (x,y)[/tex]

---------------------------------------------------------------------------------------------------------

Calculate the slope of each side.

AB, BC, CD and DA using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

AB:

[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]

BC:

[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]

CD:

[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]

DA

[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]

[tex]m_4 = \frac{1-y}{3-x}[/tex]

AB and CD are parallel sides. So, they have the same slope

i.e.

[tex]m_1 = m_3[/tex]

[tex]\frac{y-1}{x+5} = -1[/tex]

Solve:

[tex]y-1 =-x-5[/tex]

Make y the subject

[tex]y =-x-5+1[/tex]

[tex]y =-x-4[/tex] ---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

[tex]m_2 = m_4[/tex]

[tex]1 = \frac{1-y}{3-x}[/tex]

Solve:

[tex]1-y =3-x[/tex]

Make y the subject

[tex]y =1-3+x[/tex]

[tex]y =x-2[/tex] ---- (2)

So, we have:

[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]

Equate both:

[tex]y=y[/tex]

[tex]-x-4=x-2[/tex]

Collect like terms

[tex]-x-x=4-2[/tex]

[tex]-2x=2[/tex]

Solve for x

[tex]x = -\frac{2}{2}[/tex]

[tex]x = -1[/tex]

Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]

[tex]y = -1-2[/tex]

[tex]y = -3[/tex]

So, the missing coordinate is:

[tex]D = (-1,-3)[/tex]

Answer:

The correct answer would be 17

I took the test and it was correct

Sorry its late hope it helps!

Answer: 17

Step-by-step explanation:

θ= 17

Correct answer on the test.

Answer:

Associative Property

Explanation:

Associative property is when you add and group numbers in any combination.

Answer:

$7.20

Step-by-step explanation:

4 times 0.8 is 3.20

Add them together to get the new cost

Answer:

$7.20

Step-by-step explanation:

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

Answer:

25

Step-by-step explanation:

Answer:

its D i do belive

Step-by-step explanation:

Answer:

28in, 195in, 197in

Step-by-step explanation:

There's no "supereasy" way to solve it, except by computation or approximation.

e.g. 2 3 6 couldn't work, because 2+3 < 6 so it's not even a triangle

125^2 cannot equal 122^2 + 30^2, because 125^2 is odd and 122^2 and 30^2 are even

23^2 + 18^2 = 529 + 324 < 900 < 31^2

So it has to be the last one, and after verification we find it checks out and 28^2 + 195^2 = 197^2

Step-by-step explanation:

9(x - 2) = 27

9x - 18 = 27

9x = 27 + 18

9x = 45

x = 45/9

x = 5

-TheUnknownScientist

We are to say whether the conclusion is valid.

Answer:

Statement is valid.

Step-by-step explanation:

We are told that One bead is placed in a bag for every member of the school orchestra.

Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.

This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.

Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling

Answer:

383.27

Step-by-step explanation:

Answer:

m∡A = 128°

Step-by-step explanation:

since AD = BC then ∡A=∡B

Answer:

19

Step-by-step explanation:

37/3= 12. something

12+7+19

Answer:

19.38b - 43.2a

Step-by-step explanation:

Simplify :

8.5b−3.4*(13a−3.2b)+a

Open the bracket :

8.5b - 44.2a + 10.88b + a

Collect like terms :

8.5b + 10.88b - 44.2a + a

19.38b - 43.2a

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

Answer:

1/10, 3/10

Step-by-step explanation:

1) we have 10 letters, so the answer is: 1/10

2) we have three grey parts in a total of ten parts, so the answer is 3/10

Answer:

the average speed of the whole journey is 45 km/h

Step-by-step explanation:

The computation of the average speed of the whole journey is shown below:

Average speed is

= (Speed 1 + speed 2) ÷ 2

= (60 km/h + 30 km/h) ÷ 2

= 90 km/h ÷ 2

= 45 km/h

Hence, the average speed of the whole journey is 45 km/h

We simply ignored the distance as it is not relevant for the given situation

The same would be considered

Answer: -8

Step-by-step explanation:

Answer:

5 + 2 = 7

Step-by-step explanation:

The vertical lines are on the points 5 and 7. So to get from five to seven you move two to the right

Answer:

here in the figure

5 +2 = 7

so the vertical lines is in the points 5 and 7 .

if you want to find

you need to add both points 5 and 2

so after adding both you will get answer 7

hope it is helpful to you️☺️☺️☺️☺️☺️☺️☺️

Answer:

Not A or D

Step-by-step explanation:

edge 21

Answer:

It takes 42 seconds for the ball to reach its maximum height

The ball's max height is 2

hope this is right

Answer:

$50 - $9.99 = $40.01

$40.01 ÷ $3.99 = 10

so the answer is 10

Step-by-step explanation:

if thats not whats being asked sorry

Inequality shows a relationship between two numbers or two expressions.

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

The number of movies Parv can buy is 10.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal= ≥

We have,

Gift card = $50

Cost of a pack of games = $9.99

Cost of each movie = $3.99

x = number of movies

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

Solve for x.

9.99 + 3.99x ≤ 50

Subtract 9.99 on both sides.

3.99x ≤ 50 - 9.99

3.99x ≤ 40.01

Divide both sides by 3.99

x ≤ 40.01/3.99

x ≤ 10

This means the number of movies Parv can buy is 10.

We can cross-check.

9.99 + 3.99 x 10 ≤ 50

9.99 + 39.9 ≤ 50

49.89 ≤ 50

Thus,

The number of movies Parv can buy is 10.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Answer:

Step-by-step explanation:

I will focus on your function y = -x - 6.  

First of all, this is a linear function.  All linear functions have unlimited domain and range:  (negative infinity, positive infinity).

If you meant   (1/4)y = - x - 6, exactly the same response would be true.

The probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm:

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of pulling a red worm from the bag is 6/(12+3+6+2) = 6/23.

After eating the red worm, there are 11 green worms left in the bag, so the probability of pulling a green worm is 12/(12+3+2) = 12/17.

To find the probability of both events occurring (pulling a red worm and then a green worm), we need to multiply their probabilities:

P(red and green) = P(red) × P(green)

P(red and green) = (6/23) × (12/17)

P(red and green) = 72/391

Therefore, the probability of reaching into the bag and pulling a red worm, eating it, and then pulling a green worm is 72/391.

To know more about Probability check:

https://brainly.com/question/30034780

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Answer:

5

Step-by-step explanation:

41 - 32 = 9

5/9 x 9 = 5

Answer:

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Step-by-step explanation:

Given

[tex]Flowers = 25x^2 + 5x + 5[/tex]

[tex]Unit\ price = 5x[/tex]

Required

The total price for 5 days

First, calculate the total for a day.

[tex]1\ day = Unit\ price * Flowers[/tex]

[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]

Open bracket

[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]

For 5 days, the total will be.

Total = days * sales of a day

So, we have:

[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Answer:

A. whether a woman took hormones.

B. whether to woman in the study had a heart attack.

D. access to health care

Step-by-step explanation:

The study conducted to observe the menopausal woman must be supported with their health history. Some woman may have menopause at an early age while other go towards this at a later age. This can be due to smoking, hormone intake, severe diseases like heart attack or cancer and their routine health checkup details. There variables must be observed and included in experiment to reach a conclusion.

Answer is 392yd  squared

Answer:

Angle 3 is equal to Angle 2 because when you have a rhombus, the diagonals will always bisect the angles.

Step-by-step explanation: