Find the slope of the line that contains the points (4,3) and (-2,-5).

Answers

Answer 1

The slope of the line that contains the points (4,3) and (-2,-5) is 4/3

In this question,

we need to find the slope of the line that contains the points (4,3) and (-2,-5).

We know that the slope of the line passing though points (x1, y1), (x2, y2) is:

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

Let (x1, y1) = (4, 3),

(x2, y2) = (-2, -5)

Using the formula of the slope,

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

m = (-5 - 3) / (-2 - 4)

m = -8 / (-6)

m = 4/3

Therefore, the slope of the line that contains the points (4,3) and (-2,-5) is 4/3

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Related Questions

Help, plss. I must get the area of this irregular figure.

Answers

The area of this irregular figure is 30m².

Step-by-step explanation:

Given that

Length is 3m .width is 2m.

To find

The area of this irregular figure.

So, according to the question

From figure we can say that there is present five rectangle of same size.

So far finding the area of this irregular figure we have to find the area of this single rectangle and multiply it by 5 so from that process we can calculate the area of this irregular figure.

Now first we have to learn about the area,

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

So, we know

The area of one rectangle = l x w

Now, putting the values = 3 x 2 = 6

So,

The area of this irregular figure = 5 ( The area of one rectangle )

                                                   = 5 x 6

                                                   = 30

Answer:

So the area of this irregular figure is 30m²

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Carmenjello went to the secret panda company in Alabama to purchase pandas for his community. He bought 39
1/4 pandas on Monday, 17 1/5 pandas on Tuesday, and 52 ½ pandas on Wednesday. On Thursday 7 3/4 pandas ran away from his back to their home. There are 5 neighborhoods in his community that will evenly split the pandas
between one another. How many pandas will each neighborhood receive?

Answers

Each neighbourhood will receive 23.34 pands.

What are fractions?In mathematics, a fraction is defined as a portion of the whole. If a pizza is cut into four equal pieces, each piece is represented by ¼. Fractions make it easier to distribute and judge numbers and speed up calculations. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.

So, 39¼ + 17⅕ + 52½ + 7¾.

Now, solve the above mathematical operation as follows:

39¼ + 17⅕ + 52½ + 7¾157/4 + 86/5 + 105/2 + 31/4

LCM of 4, 5, 2, and 4: 20

Now,

5(157) + 4(86) + 10(105) + 5(31)/20785 + 344 + 1050 + 155/202334/20116.7

Now, divide 116.7 by 5:

116.7 ÷ 5 = 23.34

Therefore, each neighbourhood will receive 23.34 pands.

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Which is true about dividing integers?
A If there is an odd number of negative signs, then the quotient is positive.
B The quotient of integer division is always positive.
C If there is an even number of negative signs, then the quotient is positive.
D The quotient of integer division is always negative.

Answers

Answer: C

Step-by-step explanation:

A says an odd number (neg) + (neg)+ (neg) = positive and that is not right

B. quotients are not always positive

C.  A even number of negatives (neg) + (neg) = a positive

D. is not true

103^2 = (100 + ⋯ )^2 = 100^2 + ⋯ + ⋯
I need help Filling in the blank spaces, Urgent

Answers

Step-by-step explanation:

Notes;

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

similarly , (a-b) = a² + b² - 2ab

so , The question :-

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

19m=3 how do I solve for M

Answers

Answer:

m=3/19

Step-by-step explanation:

Answer:

m = 3/19

Step-by-step explanation:

Let's solve your equation step-by-step.

19m = 3

Step 1: Divide both sides by 19.

19m/19 = 3/19

- You might be wondering, why do we need to divide both sides by 19? -

Well, to find m, you need to get it by itself. So by dividing 19m by 19, m stands alone. But again, what we do to one side, we need to do to the other. So 3 must also be divided by 19.

Answer:

m = 3/19

A 36-inch diameter pie is cut into 6 slices. What is the area of one of the slices?
A. 54 inches
B. 216 inches
C. 6 inches
D. 24 inches
E. None of the above

Answers

Answer:

6 inches

Step-by-step explanation:

it's just 36/6 which equals 6

Write the slope intercept form of the equation for each line

Answers

The equation of the line in slope-intercept form is: y = -4/5x - 8/5.

How to Write the Slope-intercept Form Equation of a Line?

Using two points on the line, say, (-2, 0) and (3, -4), follow the steps below to find the equation of the line:

Step 1: Find the slope of the line

Slope (m) = (-4 - 0)/(3 -(-2))

Slope (m) = -4/5

Step 2: Find the y-intercept (b)

Substitute m = -4/5 and (x, y) = (-2, 0) into y = mx + b

0 = -4/5(-2) + b

0 = 8/5 + b

0 - 8/5 = b

b = -8/5

Step 3: Substitute m = -4/5 and b = -8/5 into y = m + b

y = -4/5x - 8/5

Thus, the equation of the line in slope-intercept form is: y = -4/5x - 8/5.

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What is the length and width of the sandy island beach snak shack

Answers

30m by 90m is the length and width of the sandy island beach snak shack.

What is a rectangle shape?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

20 x 1 = 20

20 x .5 = 10

20 + 10 = 30

60 x 1 = 60

60 x .5 = 30

60 + 30 = 90..

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The complete question is -

Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 20 centimeters by 60 centimeters and uses the scale 1 cm : 1.5 m.

the first box is either greater than or less than and the second box is either including or not including​

Answers

The interpretation of the interval is that the solution set is all real numbers equal or greater to -4.

What is the standard interval notation?

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

For the interval given in this problem, we have that:

The lower bound is x = -4.There is no upper bound, the interval goes to infinity.

Hence the interpretation of the interval is that the solution set is all real numbers equal or greater to -4.

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What is the area of a section of pavement that is 10 ft wide and 80 yd long? Give your answer in square feet.​

Answers

Answer:

The area of this section of pavement is 800 square feet

Step-by-step explanation:

10 ft times 80 ft = 800 square feet

Give me brainliest if that helped :)

what is the quetient when (x+3) is divided into the polynomial 2x^2+x-15

Answers

The quetient is 2x - 5 with no remainder.

Step-by-step explanation:

The give polynomial is   2x² + x - 15

And the given divisor is  (x + 3)

Now, Using divide rule of polynomials

x + 3 ) 2x² + x - 15 ( 2x - 5

         2x² + 6x

        -       -    

____________________

         - 5x - 15

         - 5x - 15

        +       +

__________________

                0

Hence, we get the quotient is 2x - 5 and the remainder is 0

Therefore, The correct answer 2x - 5 with no remainder.

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Find the specified value for each infinite geometric series.

b. S=12, r= 1/6 ; find a₁

Answers

An infinite geometric series is the outcome of an unlimited geometric sequence. If the value of S = 12 and r = 1/6 then the value of a₁ = 10.

What is an infinite geometric series?

An infinite geometric series is the outcome of an unlimited geometric sequence. This series wouldn't have a finish. It is possible to calculate the sum of all finite geometric series. The terms in the sequence will grow steadily larger, but adding the larger numbers together will not provide a solution if the common ratio of an infinite geometric series is greater than one.

The sum of an infinite geometric series be S = a/1-r

S be the sum = 12

a₁ be the first term = ?

r -be the common ratio = 1/6

We know,

S = a₁/1-r

substitute the values in the above equation, we get

12 = a₁/1-(1/6)

simplifying the equation,

12 = 6a₁/5

a₁ = 60/6 = 10

If the value of S = 12 and r = 1/6 then the value of a₁ = 10.

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The formula K=C+273.15 converts temperatures from Celsius C to Kelvin K.

a. Solve the formula for C.


Please help ASAP

Answers

Answer:

C° = K-273.15

Step-by-step explanation:

The goal is to get C by itself, so subtract 273.15 from both sides.


Write an equation in point-slope form for each pair of points. (4,6) and (10,30)

Answers

The equation of point slope form of (4,6) and (10,30) is -4x + y + 10 = 0.

How to find the equation of point slope form?

A straight line is represented using its slope and a point on the line using point slope form. In other words, the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1, y1).

given that

the coordinates points are (4, 6) and (10, 30)

(x1,y1) = (4,6)

(x2, y2) = (10,30)

The formula of point-slope is

(y - y1) = m(x - x1)

Here,

x1 = 4 and y1 = 6 but we don't know the value of

m.

now,find the value of m using the following formula

[tex] m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

now, substitute the values, we get

[tex]m = \frac{(30 - 6)}{(10 - 4)}[/tex]

[tex]m = \frac{24}{6}[/tex]

m = 4

so, the value of m is 4.

substitute these values into the point-slope formula

(y - 6) = 4(x - 4)

y-6 = 4x - 16

y = 4x -16 + 6

y = 4x - 10

-4x + y + 10 =0

Hence, the equation of point slope form of (4,6) and (10,30) is -4x + y + 10 = 0.

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Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is red.

Answers

most standard deck have half red and blue cards.
52 divided by 2 is 26
i believe that the chances of getting 26% i hope this helped

Q 11. Luis and Baca have been weightlifting with each other and want to see how long it will take them to be the same weight. Luis weighs 194 pounds and gains 0.6 pounds of muscle per week. Baca weighs 218 pounds and gains 0.2 pounds of muscle per week. Create an equation that Luis and Baca can use to determine how long it will take for them to be the same weight. In the text box, write about how you formed the equation used to determine when Luis and Baca would be the same weight. BI​

Answers

Luis and Baca would be the same weight after 60 weeks of weightlifting.

What is a linear Equation?

A linear equation is one in which the highest power of the variable is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation.

To create an equation that Luis and Baca can use to determine how long it will take for them to be the same weight:

Let the time taken by Luis and Baca to be of the same weight be x weeks,

Given:

Initial weight of Luis = 194 pounds

Initial weight of Baca = 218 pounds

Then,

Weight gained by Luis in x weeks = 0.6x pounds

Weight gained by Baca in x weeks = 0.2x  pounds

Total weight of Luis after x weeks = (194 + 0.6x ) pounds

Total weight of Baca after x weeks = (218 + 0.2x) pounds

For Luis and Baca to be of the same weight,

Total weight of Luis after x weeks = Total weight of Baca after x weeks

Therefore, we equate the total weight gained by Luis and Baca after x weeks to determine the value of x

⇒ 194 + 0.6x  = 218 + 0.2x

⇒ 0.6x - 0.2x =218 - 194

⇒ 0.4x = 24

⇒ x = 60

Hence, Luis and Baca would be the same weight after 60 weeks of weightlifting.

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What is an equation of the line that passes through the point (4,1)(4,1) and is perpendicular to the line 2x-y=42x−y=4?

Answers

The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

2x - y = 4

Then the slope of the perpendicular line will be

y = 2x - 4

m = 2

Then the equation of line will be

y = -(1/2)x + d

Then the line is passing through (4, 1), then we have

1 = -(1/2)4 + d

3 = d

The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

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Prepare Sangreens bank reconciliation at may 31, 2022

Answers

ok:).

poop

.........


At Bell High School, 43% of the students own a CD player and 28 % own a CD player and an MP3 player. What is the probability that a student owns an MP3 player if he or she also owns a CD player?

Answers

According to the question, Let us assume the total number of students is [tex]100[/tex]. In which [tex]43[/tex] students own a CD player. And [tex]28[/tex] students own both CD player as well as MP3 Player.

Now, to calculate the probability that a student owns an MP3 player and also they own a CD player. It is clear from the given data, the percentage is higher than [tex]28[/tex] percent.

Using conditional probability rule:

[tex]P(MP3|CD) = \frac{P(MP3 and CD)}{P(CD)} = \frac{0.28}{0.43} = 0.65[/tex]

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠4 and ∠ 6

Answers

The relationship between the ∠4 and ∠6 is that both are alternate interior angle.

Given,

The angles = ∠4 and ∠6

Here,

The ∠4 and ∠6 lie on the opposite sides of the transversal and both are nonadjacent interior angles

So, ∠4 and ∠6 are alternate interior angle.

Hence, The relationship between the ∠4 and ∠6 is that both are alternate interior angle.

Complete question is:

Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

∠4 and ∠ 6

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in straightedge and compass construction of the parallel line below which of the following reasons can you use to prove that JK and LN are parallel

Answers

The correct option is (C) ∠ MJK ≅ ∠ MKJ by construction.

When two parallel lines have a transversal cutting those parallel lines, the alternate angle theorem holds true. According to the alternate angle theorem, all alternate angles are equal.

We have a similar circumstance here, where we are employing the alternate angle theorem approach to design and build two parallel lines. To prove that the two alternate angles are equal and the lines are parallel, we must first identify the two alternate angles.

The two alternate angles are:

∠ MLN and ∠ MJK

Therefore, for the lines, JK and LN to be parallel the two angles must be congruent.

Hence, ∠ MLN ≅ ∠ MJK

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The complete question is mentioned below:

In the straightedge and compass construction of the parallel line below, which of the following reasons can you use to prove that JK and LN are parallel?

A.  ∠ MLN ≅ ∠ MNL by construction.

B.  ∠ NLJ ≅ ∠ MJK by construction.

C.  ∠ MJK ≅ ∠ MKJ by construction.

D.  ∠ MLN ≅ ∠ MJK by construction.

On Halloween night, Mack collects x pieces
of candy and then eats 7 pieces. The next day
he eats 10% of his candy pieces and has 63
pieces remaining. How many pieces of candy
did he collect on Halloween night?

Answers

Based on the number of candy pieces that Mack ate on the first and net day, the number of pieces of candy that he collected on Halloween night was 78 pieces of candy

How to find the number of candy pieces collected?

The total pieces of candy that Mack had left on the next day was:

Number of candy pieces collected - 7 pieces of candy - (10% x Number of candy pieces collected) = 63

To find the number of candy pieces collected:

x - 7 - 10% × x = 63

x - 7 - 0.1x = 63

x - 0.1x = 63 + 7

0.9x = 70

x = 70 / 0.9

x = 77.7

= 78 pieces of candy

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need help with inequalities problem

Answers

ll and lll is the answer.      

never said anything about

C: (4, -8, 16, -32,...}
Find a 10

Answers

Answer:

i think 10 is in between -8 and

Step-by-step explanation:

hope this


A rectangular sticker has a perimeter of 30 centimeters. Its area
is 54 square centimeters. What are the dimensions of the sticker?

Answers

The dimensions of the sticker are 6 centimeters and 9 centimeters, respectively.

What are the dimensions of a rectangular sticker?

According to the statement, we find a rectangular sticker whose perimeter and area are known. By the perimeter and area formulas of the rectangle we have the following system of equations:

x · y = 54                      (1)

2 · (x + y) = 30              (2)

By (2):

2 · x + 2 · y = 30

2 · x = 30 - 2 · y

x = 15 - y

(2) in (1):

(15 - y) · y = 54

15 · y - y² = 54

y² - 15 · y + 54 = 0

(y - 9) · (y - 6) = 0

The solutions are y₁ = 9 and y₂ = 6, respectively.

By (2):

x₁ = 15 - y₁

x₁ = 15 - 9

x₁ = 6

x₂ = 15 - y₂

x₂ = 15 - 6

x₂ = 9

The solutions are x₁ = 6 and x₂ = 9, respectively.

The dimensions of the sticker are 6 centimeters and 9 centimeters, respectively.

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3. Change the digit 5 to zero in each number. Show the operation that will make it zero
a. 478 578 = b. 353 897 = c. 294 025 = d. 500 000 = e. 893 257 = 0 1 2 3 4 ​

Answers

Place value is defined as the value of a digit in a number which depends on its position in the number. On the other hand, Total value is the product of a digit and its place value.

Rounding off entails changing a number into an approximation such that it has fewer significant numbers. To change the digit 5 in this question to 0, we will need to round off the given numbers to the most appropriate place value.

a. 478 578

We round off to the nearest thousands, this becomes 479 000

b. 353 897

We round off to the nearest tens of thousands, this becomes 400 000

c. 294 025

We round off to the nearest ones, this becomes 294 030

d. 500 000

The 5 in this value cannot be converted to 0 since 5 is the largest place value in the number.

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Solve this multi-step problem. A runner completes of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?​

Answers

The runner completes a 10 miles race in 16 minutes.

According to the question we have been given that,

Runner takes 8 minutes to complete = 5 miles race

We need to find that if the runner is in the same pace then how many miles the runner completes in 16 minutes

This multi-step problem can be solved using the unitary method. That is,

              8 minutes = 5 miles

              1 minute = 5/8 miles          

             16 minutes = 5/8*16 miles

                                  = 5*2 miles

                                  = 10 miles

Hence runner completes a 10miles race in 16 minutes

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Find the first five terms of each sequence. aₙ =-2 n-1

Answers

The first five terms of the sequence are -3, -5, -7, -9, -11

What is a sequence?

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given,

aₙ =-2 n-1

a1 = -2 - 1 = -3

a2 = -4 -1 = -5

a3 = -6 -1 = -7

a4 = -8 -1 = -9

a5 = -10 - 1 = -11

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X a strawberry milk recipe uses 3 teaspoons of strawberry syrup for every 8 ounces of milk. how many teaspoons of strawberry syrup per ounce of milk does this recipe use? how many ounces of milk are needed per teaspoon of strawberry syrup? 1959 subm

Answers

Answer:

Step-by-step explanation:

So our ratio for this problem is

3/8
Now, to find how many teaspoons per ounce, we divide 3 by 8

3/8=0.375

Hope this helps!^^

To find ounces per teaspoon, we do 8/3

8/3 = 2.666666667

Hope this helps^^

1.the data set represents the number of eggs produced by a small group of chickens each day for fifteen days 6,7,7,7,8,8,8,8,9,10,10,11,12,12,13

create a dot plot to represent the situation


2. from the data what would be the typical number of eggs produced in a day?

Answers

a. The dot plot that represents the situation is shown in the diagram attached below.

b. The typical number = 8.

How to Create a Dot Plot?

-To create a dot plot, the frequency of each data point of the data distribution is represented by a "dot". The number of "dots" on a data point determines the number of times that data point appears in the data distribution.

Given the data for the number of eggs produced: 6,7,7,7,8,8,8,8,9,10,10,11,12,12,13, we have the following data points and their frequency:

6 - 1 dot

7 - 3 dots

8 - 4 dots

9 - 1 dot

10 - 2 dots

11 - 1 dot

12 - 2 dots

13 - 1 dot

a. The dot plot that represents the situation is shown in the diagram attached below.

b. The typical number of eggs is: 8.

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