Question 1 of 10
What is the slope of the line that contains the points (-2, 5) and (6,-3)?
OA. 8
OB. 1
O C. -1
OD. -8

Answers

Answer 1

Answer:

slope is -1

Step-by-step explanation:

Slope of the line is changes in y over changes in x. It can also be referred as rise over run.

We can express mathematically as:

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

where m is slope.

Let (-2,5) be [tex]\displaystyle{(x_2,y_2)}[/tex] and (6,-3) be [tex]\displaystyle{(x_1,y_1)}[/tex]. Hence, apply the slope formula:

[tex]\displaystyle{m=\dfrac{5-(-3)}{-2-6}}\\\\\displaystyle{m=\dfrac{5+3}{-8}}\\\\\displaystyle{m=\dfrac{8}{-8}}\\\\\displaystyle{m=-1}[/tex]

Therefore, the slope is -1


Related Questions

What is the y value of y=2x-3 and y=3x-7

Answers

Step-by-step explanation:

hope the above solution will help you

Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?

Answers

Answer:

a.) 0.115

b.) 0.087

Step-by-step explanation:

Given,

P(A) = 20% = 0.20

P(B) = 30% = 0.30

P(C) = 50% = 0.50

Let M - major repairing during first year

P(M/A ) = 0.05

P(M/B) = 0.10

P(M/C) = 0.15

a.)

P(M) = P(M∩A) + P(M∩B) + P(M∩C)

       = P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)

      = (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)

     = 0.01 + 0.03 + 0.075

     = 0.115

⇒P(M) = 0.115

b.)

P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)

                                     = (0.05)(0.20) / 0.115

                                     = 0.01 / 0.115 = 0.087

⇒P(A/M) = 0.087

3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.

(a) Write an equation to determine the amount of substance, S, left after t years.

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

Answers

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.

Answers

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

The card value after its increase of 35% would be $2,700.

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

Divide the product of 22 and 27 =

Answers

0.81 have a nice day !

C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation

Answers

Answer:

Ill help if u still need

Step-by-step explanation:

H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5

Answers

Answer:

f(x)=x^(2),[2,3]

-2x-h+3

Step-by-step explanation:

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

Answers

Answer:

thankyou uwhdjaossbehsa
quartic or of the 4th degree

What is 4•(5+3)=4•8=

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

I hope this helps, and have a great day! :)

5m - 4z + 8m + 3 – 2z

Answers

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?

Answers

Answer:

0.48688

Step-by-step explanation:

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

d=(−0.306)(1.67)+0.9979

Step 1: Simplify both sides of the equation.

d=(−0.306)(1.67)+0.9979

d=−0.51102+0.9979

d=(−0.51102+0.9979)    (Combine Like Terms)

d=0.48688  

? QUESTION
Learning Page
The ratio of men to women working for a company is 5 to 4. If there are 243 employees total, how many women work for the company?
OO EXPLANATION

Answers

Answer:

108 women

Step-by-step explanation:

add the parts of the ratio together

5 + 4 = 9

divide the total number of employees by 9

243/9 = 27

now multiply the parts of the ratio by 27.

5 X 27 = 135

4 X 27 = 108

A percentage is another way to write a _________________.


Answers

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.

rectangles
cylinders
rhombii
circles

Answers

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

Question 5 (4 points)
(06.01)

Evaluate the expression 43 ÷ (7 − 3) × 2. (4 points)

Answers

Answer:

21.5

Step-by-step explanation:

(solve in parentheses first)

43/(7-3)x2

(43/4)x2

86/4

21.5

Answer:

[tex]21.5[/tex]

Step-by-step explanation:

First you have to simplify 7 - 4 to 3.

[tex]43 \div 4\times 2[/tex]

Then Simplify 43 ÷ 4 to 10.75.

[tex]10.75 \times 2[/tex]

And lastly, Simplify.

[tex]21.5[/tex]

Therefor, the answer is, 21.5.

bonjour,pouvez vous m’aider ;)
a. calculer DC
b.en déduire que ED =1,60 m
c.une fillette mesure 1,10 m

elle passe a 1,40m derrière la camionnette.
Le conducteur peut-il la voir ? expliquer


Données :
(AE) // (BD)
AE = 1,50 m
BD = 1,10 m
EC = 6 cm

Answers

Answer:

je suis super nul en math desolee

Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions

Answers

Answer:

you gonna answer it

Step-by-step explanation:

Because that's yours book

Please please give answer

Answers

Answer:

A

Step-by-step explanation:

iTS JUST a

Answer:

Step-by-step explanation:

i cant see it

HELPPP PLS ILL GIVE BRAINLESS DIE SOON

Answers

Answer:

C nnnnnnnnñnnnnn

Step-by-step explanation:

That is the answer C

the answer is C for this problem

Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.

Answers

Answer:

9×7×12=756 is the dimensions

One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?

Answers

Answer:

the 8 for 9.25

Step-by-step explanation:

that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple

thank you in advance

Answers

Answer:

the answer is option (b)

Answer:

First option: y= -4/3x + 7

Step-by-step explanation:

It's perpendicular

49/70 in its simplest form

Answers

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.

Answers

Answer:

In Python:

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

if exam >= project and exam >= lab:

   print("Highest Grade: "+str(exam))

elif project >= exam and project >= lab:

   print("Highest Grade: "+str(project))

else:

   print("Highest Grade: "+str(lab))

   

if exam <= project and exam <= lab:

   print("Lowest Grade: "+str(exam))

elif project <= exam and project <= lab:

   print("Lowest Grade: "+str(project))

else:

   print("Lowest Grade: "+str(lab))

   

print("\nGrades below 70")

if exam < 70:

   print("Exam: "+str(exam))

if project < 70:

   print("Project: "+str(project))

if lab < 70:

   print("Lab: "+str(lab))

   

print("\nAverage: "+str((exam+project+lab)/3))

if exam > 70 and project >70 and lab > 70:

   print("All grades are above 70")

Step-by-step explanation:

The next three lines get input for exam, project and lab

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

This condition checks if exam is the highest grade

if exam >= project and exam >= lab:

If true, exam is printed as the highest grade

   print("Highest Grade: "+str(exam))

This condition checks if project is the highest grade

elif project >= exam and project >= lab:

If true, project is printed as the highest grade

   print("Highest Grade: "+str(project))

If otherwise

else:

lab is printed as the highest grade

   print("Highest Grade: "+str(lab))

This condition checks if exam is the lowest grade    

if exam <= project and exam <= lab:

If true, exam is printed as the lowest grade

   print("Lowest Grade: "+str(exam))

This condition checks if project is the lowest grade    

elif project <= exam and project <= lab:

If true, project is printed as the lowest grade

   print("Lowest Grade: "+str(project))

If otherwise

else:

lab is printed as the lowest grade

   print("Lowest Grade: "+str(lab))

   

This prints the header "Grades below 70"

print("\nGrades below 70")

This checks if exam is below 70.

if exam < 70:

If true, exam score is printed

   print("Exam: "+str(exam))

This checks if project is below 70

if project < 70:

If true, project score is printed

   print("Project: "+str(project))

This checks if lab is below 70

if lab < 70:

If true, lab score is printed

   print("Lab: "+str(lab))

   

This calculates and prints the average

print("\nAverage: "+str((exam+project+lab)/3))

This checks if all three scores are above 70

if exam > 70 and project >70 and lab > 70:

If true, the the message that all are above 70, is printed

   print("All grades are above 70")

On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.

AND

On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.

Answers

5. C
6. B
Steps on paper

6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10​

Answers

Answer:

The answer is 1/10

Step-by-step explanation:

Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.​

Answers

Answer:

Step-by-step explanation:

If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.

$550 - $550 = $0

Hope this helps!

Answer:If I let +t+=+0+ ( no months have passed )

+D%280%29+=+550+

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

+t+=+1+

+D%281%29+=+550+-+.19%2A550+

+D%281%29+=+550%2A%28+1+-+.19+%29+

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

+t+=+2+

+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+

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

This pattern continues, so the general formula is:

+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+

+D%28t%29+=+550%2A.81%5Et+

I hope you see this. Each month 19% of the

PREVIOUS months balance gets subtracted.

Step-by-step explanation:

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