Write the equation of the line in POINT-SLOPE form that passes through (5, 1) and (-2, 14)

Answers

Answer 1

point slope form is

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

we can find m with

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\ m = \frac{14-1}{-2-5} \\m = \frac{13}{-7} \\[/tex]

[tex]y - 1 = \frac{-13}{7} (x-5)\\or\\y - 14= \frac{-13}{7} (x+2)[/tex]


Related Questions

someone please please help DUE in THIRTY MINUTES
show work

Answers

isosceles triangles means that the two bottom angles and sides are equal

therefore, you can set R and T equal to each other:

(15x-31)=(9x+11)

(get x to one side)

15x=9x+42

6x=42

x=7

now you can plug x back into the equations:

15(7)-31

105-31

74

R and T = 74

all triangles' internal angles = 180

therefore you can add the two angles then subtract them from 180

74+74=148

180-148=32

S should be 32 :)

50 POINTS
If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)?

A.)2 x2 + 4 x + 5
B.)2 x2 + 2
C.)x2 + 3
D.)2 x2 + 4 x + 1

Answers

Answer:

it is d. i think

Step-by-step explanation:

Evaluate the expression.
-0.3 x (0.5 + 0.6 x - 1)

Answers

Answer:

-0.03

Step-by-step explanation:

you multiply everything in the parenthesis by -0.3

so that would give you -0.15,-0.18, and 0.3

then you add all of those together and that gives you -0.03

There were 92,623 fans watching the soccer game. What is this number rounded to the nearest thousand?

Answers

Answer:

93,000

Step-by-step explanation:

Look at the hundreds place if it is 0-4 round down if it is 5-9 round-up so 6 is 5-9 so you round up which gets 93,000

Hope this helps!

Answer:

93,000 fans

Step By Step Explanation:

what are the coordnates of D if E (-2,2)is the midpoint of DF and F has the coordnates of (3,5)

Answers

Hi there & welcome to brainly!

Answer:

( -7 , -1 )

Step-by-step explanation:

Let the co-ordinates of D be ( x , y )

Let D ( x , y ) be ( x1 , y1 ) and F ( 3 , 5 ) be ( x2 , y2 )

Midpoint of DF = E ( -2 , 2 )

Now, finding the co-ordinates of D :

[tex]\boxed{\sf{ midpoint = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} ) }}[/tex]

⇒ [tex]\sf{ ( - 2 , 2 ) = (\frac{x + 3}{2} , \frac{y + 5}{2} )}[/tex]

Equating corresponding elements, we get :

[tex]\sf{-2 = \frac{x + 3}{2} }[/tex]                                  

⇒ [tex]\sf{ -4 = x + 3 }[/tex]

⇒ [tex]\sf{ x + 3 = -4 }[/tex]

⇒ [tex]\sf{ x = -4 - 3}[/tex]

⇒ [tex]\sf{x = -7 }[/tex]

Again,

[tex]\sf{ 2 = \frac{y+5}{2} }[/tex]

⇒ [tex]\sf{y + 5 = 4 }[/tex]

⇒ y = 4 - 5

⇒ y = -1

Hence, The co-ordinates of D = ( -7 , -1 )

Hope I helped!

Best regards! :D

~TheAnimeGirl

Solve for the equation for y: 3/2 y + 12 = 7/5 y-20

Answers

Could you help me in my recent

Answer:29/10y=-32

Step-by-step explanation:simply find a common denominator in this case ten add them together and subtract 12 to -20 and your done

Which is a commercial use for lactic acid fermentation?

brewing beer

baking bread

making wine

making cheese

Answers

Answer:

it's making cheese (:

Step-by-step explanation:

Answer:

D. Making Cheese

Step-by-step explanation:

It's right on edge 2020

Three times the square of a number is greater than a second number. The square of the second number increased by 6 is greater than the first number. Which system of inequalities represents these criteria?

Answers

Given:

Three times the square of a number is greater than a second number.

The square of the second number increased by 6 is greater than the first number.

To find:

The system of inequalities represents these criteria.

Solution:

Let the first number be x and the second number be y.

Three times the square of a number is greater than a second number.

[tex]3\times x^2>y[/tex]

[tex]3x^2>y[/tex]           ...(i)

The square of the second number increased by 6 is greater than the first number.

[tex]y^2+6>x[/tex]       ...(ii)

Therefore, the system of inequalities represents these criteria has inequalities [tex]3x^2>y[/tex] and [tex]y^2+6>x[/tex], where x is first number and y is second number.

The system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].

Let us take the numbers as x and y respectively.

First number = x

Second number = y

What is inequality?

Inequality is the relationship between two expressions that are not equal to one another.

Three times the square of the first number is greater than a second number:

This means, [tex]3x^{2} > y[/tex]

The square of the second number increased by 6 is greater than the first number:

This means, [tex]y^{2} +6 > x[/tex]

Therefore, the system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].

To get more about inequalities visit:

https://brainly.com/question/11613554

giana read 120 pages in 4 days which reading rate is equivalent ?

Answers

Answer:

30 pages a day

Step-by-step explanation:

Answer:

120 pages in 4 days can be turned into this mathematical expression: 120/4.

120/4 = 30/1 = 60/2 = 90/3.

Therefore, "B. 60 pages in 2 days" is the correct answer.

Step-by-step explanation:

Abigail is making a trail mix. She pours 2 15 cups of pretzels, 35 cups of raisins, 1 cup of peanuts, and 45 cups of M&Ms into a bowl. How many total cups of trail mix will she have?

Answers

Answer:

296 cups

Step-by-step explanation:

We are expected to solve for the total number of cups, we can achieve this by adding all the individual ingredients together.

Given the number of cups poured

pretzels= 215 cups

raisins= 35 cups

peanuts= 1 cup

M&Ms= 45 cups

So the total is 215+35+1+45= 296 cups

what is six eighths minus one fourth

Answers

Answer:

1/2

Step-by-step explanation:

6/8-1/4

6/8-2/8

4/8

or one half

The value of six eights minus one fourth is 1/2

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

Example of expression includes; 5x -2 , 5/2 , x +y . When two ore more terms are joined with an operation,we can call it expression.

six eights = 6/8

one fourth = 1/4

Therefore

of six eights minus one fourth

= 6/8 - 1/4

= 6 - 2/8

= 4/8

divide through by 4

= 1/2

Therefore the value of 6/8-1/4 is 1/2

learn more about expression from

https://brainly.com/question/1859113

#SPJ6

What is the value of 7/3 divided by 5/6

Answers

2 4/5 if not in mixed number form, 14/5 and if in decimal form, 2.8

YOUR WELCOME AND PLSSS MARK ME BRAINLIESSSTT!

Using the number lines what is the equivalent fraction for 4/4

Answers

is there a picture of the number line in the question? because if there is, you should include it along with your question so we can understand better:)

You roll a single die numbered from 1 to 6.
What is the probability of rolling an odd
number, expressed as a fraction?

Answers

Answer:

3/6 or 1/2

Step-by-step explanation: 3 odd numbers on a dice with six sides

Help me, pleaseeeeee:)(:

Answers

Answer:

X= 128º

Step-by-step explanation:

A triangle is stated to have 180º. This means that since we know 2 sides of the triangle you can simply subtract them from one another.

Doing this you would get: 180 - 90 - 38 = 52º

Noticing that X is on a straight line, this would result in the fact that X is on a line of 180º.

Subtracting the angle we found in the triangle would result you with the answer of:

180 - 52 = 128º for the value of X

Heather solved this problem:

75 is 300% of what number?

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 75 Over question mark EndFraction. StartFraction part Over whole EndFraction = StartFraction 75 times 4 Over 100 times 4 EndFraction = StartFraction 300 Over 400 EndFraction

What error did Heather make?

Answers

Answer:

She used the part, 75, to write the percent ratio. The part-to-whole percent ratio is StartFraction 300 Over 100 EndFraction  

Step-by-step explanation:

D

Answer:

hope this helps and have a great day:)

In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?

Answers

Answer:

700 Boys attend the school

Please help!
h(-5)=

Answers

Answer:

-2

Step-by-step explanation:

Answer:

h(-5) = 2

Hope this helps! I apologize if I'm incorrect

A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if
b

no two neighboring tiles are the same color?

Answers

The number of ways the task of Rearranging the rectangular grid can be done if no two neighboring tiles are the same color is;

P(no two neighboring tiles are same) = 60 ways

We are given;

Number of yellow tiles; n_y = 3

Number of white tiles; n_w = 2

Number of blue tiles; n_b = 1

Now, if no two neighboring tiles can be the same tile Color, it means that;

P(no two neighboring tiles are same) = number of ways when no restriction/((n_y)! × (n_w)! × (n_b)!)

>> P(no two neighboring tiles are same) = 6!/(3! × 2! × 1!)

>> P(no two neighboring tiles are same) = 720/12

P(no two neighboring tiles are same) = 60 ways

Read more at; https://brainly.com/question/18435884

Help plz! I’m stuck!

David wants to arrange the cars on his car lot. He wants to park the cars in
rows with the same number of each type of car in each row. What is the
greatest number of rows David can have?

Number of Cars

Sports Car-72
SUV-60
Sedans-48
Trucks-84

Answers

Answer:

48 rows

Step-by-step explanation:

Answer:

werid options but 24

Step-by-step explanation:

Heart 1 is translated 3 units down to heart 2. Which shows this transformation? On a coordinate plane, heart 1 is shifted 4 units down and 4 units to the right. On a coordinate plane, heart 1 is reflected across the x-axis to heart 2. On a coordinate plane, heart 1 is shifted 4 units to the right and is rotated to form heart 2. On a coordinate plane, heart 1 is shifted down 3 units to form heart 2.

Answers

Answer:

D. On a coordinate plane, heart 1 is shifted down 3 units to form heart 2.

Step-by-step explanation:

From the list of given options, the last option answer the question (see attachment for illustration)

The first option describes down and right shifts of the preimage of the heart

The second describes reflection

The third describes rotation

Only option 4 describes down shifting and it was shifted by exactly 3 units as stated in the question.

Answer:

D. i just took the unit test

Step-by-step explanation:

somebody answer this and ill give u the brainliest

Answers

Answer:b

Step-by-step explanation:give me my brainly

B

Because A=p+Prt

First subtract P from both sides

A-P=Prt

Since pr and t are being multiplied you divide both sides by Pr to separate it from t

A-P/Pr=t

At its highest​ point, the elevation of a county is 5,763 feet above sea level. At its lowest​ point, the elevation of the county is 8 feet below sea level

Answers

Answer:

Expression = (y + 5,763) - (y - 8)

Simplified expression = 5,763 + 8

Step-by-step explanation:

• Note: The question is incomplete, however, the concluding part is ; write an expression, using integers to represent the difference between the elevations.

We can make y represent the sea level.

Since the highest point of the country is 5,763 feet above sea level, it Means that the expression can be written as;

y + 5,763

Also, we know that the lowest point is 8 feet below the sea level, hence expression can be written as;

y - 8

We can then find the difference(expression) between both elevation.

= (y + 5,763) - (y - 8)

When the expression is further simplified, we'll have;

5,763 + 8

The temperature at noon is 0 degree celsius.The temperature changes by -3/2 celsius every hour for 4 hours. Write an expression to represent this situation.What is the temperature at 4:00 pm

Answers

Answer:

-6

Step-by-step explanation:

-3/2 x 4/1 = 12/2

Simply to -6/1 or -6

The required temperature would be  -6°C at 4:00 pm, which is determined by the expression -3/2 × 4/1.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

At midday, the temperature is 0 degrees Celsius. For four hours, the temperature decreases by -3/2 degrees Celsius per hour.

According to the given condition, we can write the expression as:

⇒ -3/2 × 4/1

⇒ -12/2

Apply the division operation to get the solution

⇒ -6

So, the time at which the temperature goes -6°C  is 4:00 PM.

Therefore, the required temperature would be  -6°C at 4:00 pm.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ5

Prove that
[tex](1 - { \tan }^{2} a) + (1 + { \tan }^{2} a) = 2[/tex]

Answers

Answer:

Step-by-step explanation:

Hey there!

Given;

(1-tan^2a) + (1+tan^2a)= 2

LHS:

=(1-tan^2a)+(1+tan^2a)

Remove brackets.

=1-tan^2a + 1 +tan^2a

Cancel "tan^2a" and "-tan^2a"

= 1+1

= 2

RHS proved....

Hope it helps...

N decreased by 18 is 36

Answers

Answer:

54

Step-by-step explanation:

Step 1:

n - 18 = 36        Equation

Step 2:

n = 36 + 18       Add 18 on both sides

Answer:

n = 54

Hope This Helps :)

Answer:

54

Step-by-step explanation:

54-18=36

a. use the two points. to find the equation that represents the linear function f.

b. what is f(6)

Answers

First: find the slope:

(1-2)/(4-1) = -1/3

Next, find the y intercept by using 1 as the value for x and 2 for the value of y

Y = 1/3x + b
2= 1/3(1) + b
B = 5/3

So the equation of the line is y = -1/3x + 5/3

F(6) = -1/3(6) + 5/3
= -1/3

I need a step by step solution 3(2+7)-5

Answers

Answer:

22

Step-by-step explanation:

3(2 + 7) - 5

~Simplify

3(9) - 5

~Multiply

27 - 5

~Subtract

22

Best of Luck!

Answer:

22

Step-by-step explanation:

2+7=9

3*9=27

27-5=22

use the graph to evaluate the function below for specific inputs and outputs

Answers

Answer:

b

Step-by-step explanation:

Question 17(Multiple Choice Worth 1 points)
(03.03 MC)
On which number line are -9 and its opposite shown?
P
Q
-24
-12
0
24
12
Q
P
-24
-12
12
24
0
Q
O
-24
-12
0
12
24
P
Q
-12
-24
0
12
24

Answers

Answer:

a

Step-by-step explanation:

O

-24

-12

0

12

24

P

Q

-12 b=12

Other Questions
Angles J and Z are verticalangles. If measure of angle J = 3x + 21and measure of angle K = 5X - 35, find themeasures of both angles. Match each career with the education that the job requires.pipe fitterfood scientistelectricianjeweler and metal workertraining and a test on electrical codes to become licensedarrowRighttraining and an apprenticeshiparrowRighttrade school that the Gemological Institute of America accreditsarrowRighta doctorate-level (Ph.D.) degree Symbols, metaphors, and allusions with a text are examples of___to support inferences about a literary work. Dimples (D) is a dominant trait. If a woman with a genotype Dd and a man with genotpe DD have 8 children, how many of the children will likely NOT have dimples What is the Paris Climate Agreement for Europe? help plz I don't understand Write a report to the rescue team explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers bodies to power equipment during rescue missions. Try to use the words in the Word Bank above. difference between natural environment and artificial environment How do you know which way the rotation is going in geometry? For example clockwise or counterclockwise. Round 683,492 to the nearest hundred thousand,A. 600,000B. 683,000C. 680,000D. 700,000Plz hurry Which substance has the highest density at room temperature?a.Hydrogenc.Waterb.Oxygend.They are all the same Which of the following helped to convince several states to ratify the United States Constitution?AGeorge Washington gave speeches to large Wblic gatherings, asking for their support.BThomas Jefferson published essays on the virtues of the Constitution,c) James Madison and Alexander Hamilton anonymously published essays explaining the benefits of a strong federal government.DSupporters organized letter writing campaigns urging the adoption of the ConstitutionEThe Constitutional Convention gave states control over western lands. The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours What makes a state a "safe" state?if a state does not have to participate in thePresidential electionIf the majority of the state has voted fora candidate from the same political party in.the past four electionsif the state does not have to give all it'selectoral votes to one candidate, they areallowed to split the votesNEED HELP FAST ! Jeremy earns $9.75 per hour at his after school job.Write an equation to find the total number of hours, h,Jeremy worked if he earned $126.75 last week. 10 point for the question Write the equation of the line that passes through the given point and is perpendicular to the given line. (0, 3); 3x 4y = 8 Fill in the blanks to complete each statement about continental drift.Continental drift was first proposed by a scientist named Alfred . He theorized that the were once one large landmass that drifted apart very slowly over a long time. Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: = 30 versus Ha: 30 when is known. (Give the answers to four decimal places.) The relationship between x and y is proportional. When x is 3, y is 51. What is x when y is 204?Enter your answer in the box.