use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)

Answers

Answer 1

Answer:

See Below

Step-by-step explanation:

A) 3/2

B) 1

C)  -1

Using the slope formula, and plugging-in values

Answer 2

We want to find the slopes of different lines, given that we know two points on each line.

We will get:

a) 3/2

b) 1

c) -1

Now let's see how to find the slopes.

We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

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

Using that equation we can find the slopes for this problem.

a) (1, 6) and (-3,0)

The slope will be:

[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]

b) (7,2) and (0,-5)

The slope will be:

[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]

c)  (-7,-3) and (-6,-4)

The slope will be:

[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]

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Related Questions

name the sets of numbers to which 7/9 belongs

Answers

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

0.333 repeating times 15. Please help me out and answer this question.

Answers

Answer:

4.995

Step-by-step explanation:

If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?

Answers

Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given numerical expression is 23·24.

Here, equivalent expression is 552

Factor of 552 is

2×2×2×3×23

Therefore, the number of times you write 2 as a factor of 552 is 3 times.

To learn more about an equivalent expression visit:

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What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.​

Answers

Answer:

4

Step-by-step explanation:

..........................

The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent​

Answers

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

(9-0)/(1-0) = 9/1 = 9

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

Solution

As to the attachment graph ;

we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical change

Now,

according to the question

it is found as the division below ;

(9-0)/(1-0)=9/1 = 9

the point which is indicating the starting point ;

(0,0)

the point which indicate the cost of one t-shirt ;

(1,9)

On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)

Answers

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.

Answers

Answer:

Number of possibilities

1) 91 members that contribute 1 dime each ($0.10)

2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Step-by-step explanation:

A dime = $0.10 in dollars

We are told that:

The total amount contributed = $9.10 for the party after their practice.

Each member contributed the same amount of money in dimes only.

Let the number of members be represented as: x

Number of possibilities

We find the factors of $9.1

= 1, 0.7, 0.13, 9.1

= 1 × 9.1

= 0.7 × 13

= 0.13 × 70

Hence:

1) $0.10 × x = $9.10

x = $9.10/$0.10

x = 91

Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).

2)

7($0.10 )× x = $9.10

x = $9.10/$0.70

x = 13

Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 13($0.10) × x = $9.10

x = $9.10/$0.13

x = 70

Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

PHOTO ADDED
NEED URGENT HELP

Answers

Answer:

A

Step-by-step explanation:

1-cos2a/1+cosa if 1/3 how much sin²a

Answers

Answer:

(1-cos2A) /(1+cos2A) =tan²A

Proof:

We know that,

cos(A+B) =cosA.cosB-sinA.sinB

=>cos2A=cos(A+A)

=>cos2A=cosA.cosA - sinA.sinA

=>cos2A=cos²A-sin²A

=>cos2A=(cos²A-sin²A)/(cos²A+sin²A

Since {cos²A+sin²A=1}

Divide the numerator & the denominator by (cos²A) to get,

cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}

cos2A ={(1-tan²A)/(1+tan²A)}

Then,

1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]

1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)

1-cos2A=(2tan²A)/(1+tan²A)

And now.......

1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]

1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}

1+cos2A=2/(1+tan²A)

So now,

(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}

={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}

=tan²A

Step-by-step explanation:

make me as brain liest

1.

p: you pass the class

q: you go to the next grade

p -> ~q:_______________________________



~p->~q:_______________________________

Answers

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?

Answers

Step-by-step explanation:

it's not same but u can find your answer through it

Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
the value of the store gift card?

Answers

Answer:

If the gift card is $30 the remaining change is 3 dollars

What does 7 hundreds×10 equal?

Answers

Answer:700x 10= 7,000

Answer: 7000

Step-by-step explanation:

there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10​

Answers

Answer:

9

Step-by-step explanation:

LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!

Answers

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.

Answers

Answer:volts =60v

Step-by-step explanation:

STEP 1

 The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as

V∝ C

introducing the proportion of constant , we have

V=KC

Step 2

When current =12 amps, and volts = 480, we have

V=kC

480=K  X  12

Constant of proportionality ,K= V/C=480/12= 40

Therefore, when current = 1.5 amp, volts=?

V= KC

V= 40  X 1.5

V= 60 volts

Solve for x

3x - 10 = -9x + 14

Answers

Answer: X=2

Step-by-step explanation:

3x-10=-9x+14

+9x +9x

12x-10=14

+10 +10

12x=24

24/12=2

So X=2

Answer:

x=2

Step-by-step explanation:

add 10 to both sides

simplify

add 9x to both sides

simplify 3x+9x to 12x

divide both sides by 12

x=2

The perimeter of a rectangle is 72 inches. The ratio of the width to the length is 4:5. What is the width of the rectangle?

Answers

9514 1404 393

Answer:

  16 inches

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 36 inches.

The width is 4/(4+5) = 4/9 of the total of length and width, so is ...

  (4/9)(36 inches) = 16 inches

The width of the rectangle is 16 inches.

I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute

Answers

The first triangle: x=25 and is a Acute angle

The second triangle: x=30 and is a right triangle

Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25

Answers

to easily find the slope from standard form (Ax + By = C) use -A/B

1. m = -5/3
2. m = -3/5

perpendicular slopes are negative reciprocals, which these are not

parallel slopes are exactly the same, which these are also not

so, these equations are neither parallel nor perpendicular

please help. you can select a,b,c,d or multiple.

Answers

Answer: b & d

Step-by-step explanation:

These are complex roots because they do not have x-intercepts.

Hope this helps!

Find the distance between the points
(9,-7) and
(5,-4).


25
5
V137
V7

Answers

Answer:

5

Step-by-step explanation:

5 is the 100% correct answer.....Hopes to get BRAINLIEST.....

Thank you ☺️☺️

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

I should pay attention in class more smh

Answers

Answer:

I think the slope is unidentified.

Hope this Helps!

0.3 km are in how many miles?

Answers

Answer:

There are 0.186411 miles in 0.3 km.

0.3 km = 0.19 miles hmm

I need help in this before 11:59 please

Answers

Step-by-step explanation:

√7 * √7 = 7 , which is not a irrational number

Which problem could the bar diagram represent?

This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.

Chad paid $250 for a new tent. He also paid $182 for four camp chairs. What is the total amount Chad spent on camping gear?



Tom's class collected 250 pounds of paper during a recycling drive. It also collected 182 pounds of aluminum. How many pounds of recycled materials did Tom's class collect altogether?



Morgan has $250. She received $182 for her birthday. What is the total amount of money Morgan has?



Kellie is driving 250 miles to visit her cousin. She has driven 182 miles so far. How many more miles does Kellie have to drive?

Answers

Answer:

I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.

if 3n-4=8 then what is the value of 5n-3 ​

Answers

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?

Answers

Pls list the equation options so we can give you an answer
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