3. What is the slope of the line that passes through points (-6, 1) and (4,-4)?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf m= \frac {-1}{2}}}[/tex]

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 1) and (4, -4). Therefore, if we match the values in the points to the corresponding variables:

x₁= -6 y₁= 1 x₂= 4y₂= -4

Substitute the values into the formula.

[tex]m= \frac {-4-1}{4--6}[/tex]

Solve the numerator.

-4-1= -5

[tex]m= \frac {-5}{4--6}[/tex]

Solve the denominator.

4--6= 4+6=1-

[tex]m= \frac{-5}{10}[/tex]

Simplify the fraction. Both the numerator and denominator are divisible by 5.

[tex]m= \frac {-5/5}{10/5}[/tex]

[tex]m= \frac{-1}{2}[/tex]

The slope of the line is -1/2

Answer 2
slope = (-4 - 1)/(4 - -6) = -5/10 = -1/2
Answer: -1/2

Related Questions

This helped me so much thank you!!!!!!

Answers

Answer:

Your profile picture I love it

x + y = 7
5x - 2y = -7

Answers

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?

Answers

Answer: 7.71%

Step-by-step explanation:

Number of students in a school last year = 700

Number of students in a school this year = 646

Reduction in the number of students = 700 - 646 = 54

The percentage reduction will be:

= Reduction in number / Last year students × 100

= (54 / 700) × 100

= 7.71%

Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1

Answers

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

B(x) = y = x/3+2 = (1/3)*x + 2

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Which is the coefficient in the expression 23y + 5?

Answers

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

find the volume of the sphere. either enter an exact answer in terms of pie or use 3.14 for pie and round your final answer to the nearest hundredth.

someone please help asap i’ll give u brainliest

Answers

Answer:

Step-by-step explanation:

volume = [tex]\frac{4}{3}*pi*r^3[/tex]

= 4/3pi

express (x-1)(2x-8) as a trinomial

Answers

Answer:

the answer is 2x²-10x+8

The trinomial equation is A = 2x² - 10x + 8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( x - 1 ) ( 2x - 8 )   be equation (1)

On simplifying the equation , we get

A = x ( 2x - 8 ) - 1 ( 2x - 8 )

A = x ( 2x ) - x ( 8 ) - 2x + 8

On further simplification , we get

A = 2x² - 8x - 2x + 8

A = 2x² - 10x + 8

Therefore , the value of A is 2x² - 10x + 8

Hence , the equation is A = 2x² - 10x + 8

To learn more about equations click :

https://brainly.com/question/19297665

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Determine the probability of rolling a number that is not even.


a. Which outcome or outcomes make up the event of rolling a number that is not even?


b. Calculate the probability of rolling a number that is not even.

Answers

Answer:

[tex]\frac{1}{2}[/tex] or 0.5 or 50%

Step-by-step explanation:

P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)

= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]

Alternatively

P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]

= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Samantha deposited $300 in a savings account. The account earns simple interest at a rate of 6.5%. How much money will Samantha have in her account after 3 years?

Answers

Answer:

319.5% divided by 3.37

Step-by-step explanation:

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

The answer is c
To square it you would just do (5x-4y)(5x-4y)

I will mark brainliest

Answers

Answer:

4.89

Please mark brainliest

Can someone please help me! it’s due in like 15minutes and I have others assignments to do that are also due in 15 minutes!

Answers

Answer:

1. 71.25 ft^2

2. $2764.80

3. 84 in^2

4. 6 inches

Step-by-step explanation:

1. Area of a triangle is base x height x 1/2

2. Multiply the area by the amount: A = 768 so 768 x 3.60 = total cost

3. Area of a trapezoid is (base x height) x height / 2

4. Area of triangle is base x height x 1/2 so if you multiply the area by 2 and divide by 18, you can find the base, which is 6

Hope this helped! :)

1. 71.25 ft

2. $2,764.8

3. 84 in

4. 6 in

what is the elapsed time? start time:9:14 p.m. end time: 9:42
28 minutes
32 minutes
38minutes
56 minutes

Answers

Answer:

28 minutes

Step-by-step explanation:

can someone help please!<3

Answers

The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
Hope this helps :)

Find the value of x. If necessary, round your answer to the nearest tenth. The
figure is not drawn to scale.

Answers

Answer:

18.8 you are right

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)

=> 8 × 15 = 10 × x

=> x = 8 × 15 ÷ 10

=> x = 12

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated

Answers

Answer:

A. The letters can be repeated

Step-by-step explanation:

Hope it helps

#CarryOnLearning

The diameter of a circle is 18m . Find its circumference in terms of pi?

Answers

Answer:

The circumference of a circle =πd = π×18 =18π m

Question:-

The diameter of a circle is 18 m. Find its circumference in terms of π.

Solution:-

Diameter of a circle = 18 m. (Given)

Radius (r) of a circle = 18/2 = 9 m.

We know,

[tex] \dag [/tex] Circumference of a circle is 2πr.

So, It's circumference is (2 × π × 9) m.

It's circumference is 18π m.

It's circumference in terms of π is 18π m. [Answer]

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3

Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, the interest charge after 4 years will be

Answers

Answer:

$960

Step-by-step explanation:

8000*0.03=240

240*4=960

It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.

Answers

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)

Find m < RQP



Question 1 options:

70°


55°


80°


90°

Answers

Answer:

80°

78% positive

The measure of the unknown angle is 70 degrees

In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference

Given the following parameters;

Angle at the circumference = x

Angle at the centre = 140 degrees

Using the given theorem;

140 = 2x

Swap

2x = 140

x = 140/2

x = 70

Hence the measure of the unknown angle is 70 degrees

Learn more here: https://brainly.com/question/19906109

answer for brainilest and 11 points

Answers

Answer:

s = 31t

Step-by-step explanation:

s = 31(1) =31 students

s = 31(3) = 93 students

For every teacher, there are 31 students

Kevin and Ornella entered a fun run. Their times for completing the course totaled 1 hour 52 minutes. Kevin's time was 4 minutes less than Ornella's. How many minutes did it take Ornella to complete the course?

Answers

Answer:

58 minutes

Step-by-step explanation:

Kelvin and Ornella completed the course in 1 hour 52 minutes

60 minutes + 52 minutes

= 112 minutes

Kelvin time is 54 minutes

Kelvin time is 4 minutes less than ornella

Hence Ornella time is 58 minutes

Find the value of x that makes the quadrilateral a parallelogram.
2x + 3
X +7

Answers

Answer:

the value of x is 4

Step-by-step explanation:

i think that is the value of x

How do you find the cube root of a number?
I am literally confused, it would be appreciated if someone explained to me. Thank you :)​

Answers

Answer:

How to Cube A Number

To cube a number, just use it in a multiplication 3 times .

A cube root goes the other direction:

3 cubed is 27, so the cube root of 27 is 3

Multiply it self by 3 like, 3 times 3 times 3. or 27 times 27 times 27 something like that

find the solution of given expression,

[tex] \sqrt{128 \times 2} [/tex]

Answers

Answer:

solution:

[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer

Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest

Answers

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!

HELPPP ASAP 10 POINTSS

Answers

It should be 4 because 1.5 * 4 will give you 6

Answer:

4

Step-by-step explanation:

the smaller triangle is being enlarged 4 times

1.5x4 = 6

Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
π √2 4√4 √16
(a). Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.

(b). Order the string sizes from least to greatest.

Answers

Answer:

Step-by-step explanation:

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After brainstorming and considering his audience, Angel wrote this thesis statement:Teens should take a pledge to not text and drive because distracted driving puts their passengers, other drivers, and the public at risk.The risk to other drivers is the in his paper.The suggestion that teens take a pledge to not text and drive is the in his paper.The risk to the public is the in his paper.The risk to passengers is the in his paper. Determine the number of representative particles in each of the following:(a) 0.294 mol silver ____ atoms(b) 8.98 10-3 mol sodium chloride ____ formula units(c) 23.3 mol carbon dioxide ____ molecules(d) 0.310 mol nitrogen (N2) ____ molecules HEY CAN ANYONE PLS ANSWER DIS SPANISH WORK!! Christine's age is 6 more than Ken's age. Three times Ken's age plus 5 timesChristine's Age is equal to 46. How old is Christine? Write an equation of the line that passes through the points (-3, 3) and (0, -1) 20kg of beans at #150/kg are mixed with 15kg of beans at #180/kg , if the mixture is sold at #200/kg , calculate the percentage profit and correct to 3s f Which word describes being available in all places at all times? contaminate omnipresent glorious diverse What is an increase in the number of people living in cities and towns?Gilded AgeGlobalizationReformationUrbanization Medical clinic office: Medical case files of deceased patients. Which transfer method? explain your decision? could you please help me hello please help thanks ill give brainliest! Can someone pleaseeee help and if youre correct ill give brainliest Plzzz help me I will mark Brainlist number 5 and number 6 Find the value of x. Round your answer to the nearest tenth.1527 51. Find the length of the unknown side x of this triangle, evaluate your answer to two decimal places. Who benefited from tenant farming - the land owner or the farmer? Why? Due to better internet job searching websites, the job finding rate increases in the recent years. In a survey studying the job finding rate in Jan 2019, 420 out of 10,000 unemployed workers report that they found jobs. In the same period of time, a similar survey studying employment status reports that 29 out of 10,000 employed workers left their jobs. What is the steady unemployment rate 3 + 8 > 27Helppp lolllhshsdhfbdb How did the citizens of Indiana participate in world war ll