What is the equation that represents the line that passes through the points (9, -2) and (12, -5)?

Answers

Answer 1

Hi there!

[tex]\large\boxed{y = -x + 7}[/tex]

To begin, we must use the slope formula to calculate the slope of the line:

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

Plug in the coordinates:

[tex]m = \frac{-5-(-2)}{12-9}[/tex]

Simplify:

[tex]m = \frac{-3}{3} =-1[/tex]

Recall that the equation for a line in point-slope form is:

y - y1 = m(x - x1)

Plug in coordinates into the equation along with the slope:

y - (-2) = -1(x - 9)

Simplify:

y + 2 = -x + 9

y = -x + 7


Related Questions

If you don’t help me your a criminal

Answers

Answer:

take angle U as reference angle

using sine rule

sin U=opposite/hypotenuse

sinU=42/42

sin U=1

sin 90=1

therefore the value of U is 90 degree

Step-by-step explanation:

DEFG is an isosceles trapezoid with bases FE and
GD. DE = 5x -2, and FG = 4x + 2. Find FG.

Answers

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

-x = -4

x = 4

FG = 4(4)+2 which is 18

Joseph is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Joseph have to choose from?

Answers

Answer:

Here is your answer and explanation have a good day

Step-by-step explanation:

The total number of different outfits Joseph can choose is A = 32 outcomes

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

The number of pairs of pants = 2 pairs

The number of pairs of t-shirts = 8 pairs

The number of pairs of shoes = 2 pairs

And , the total number of outcomes A = 2 x 8 x 2

On simplifying the equation , we get

The different outfits does Joseph can choose A = 32 outfits

Hence , the equation is A = 32 outfits

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I MEEED HELPPP PLEASEEEEEE HELPPPPP PLEASE SOMEONE IM BEGGING UUUUU

Answers

Answer:

x= 10°

Step-by-step explanation:

BWN = BRN (W=R)

56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)

5x = 180 - (56 + 90 - 16)

5x = 180 - 130

5x = 50

x =50/5

x = 10°

Which of the following rational functions is graphed below?

Answers

Answer:C
Explanation:just solving in a website by a graphing calculator and I find the answer specifically to “C”.

Find the value of that makes ADEFAXYZ.
18
24
E
5
8
6
D
F
X
Z
6x + 6
30

Answers

Answer:

x = 2/3

DF = 10

scale factor of ΔDEF to ΔXYX is 1:3

Step-by-step explanation:

DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:

6x+6/30 = 8/24

simplify 8/24 to be 1/3

6x+6/30 = 1/3

cross-multiply:

3(6x+6) = 30

18x + 18 = 30

18x = 12

x = 12/18 or 2/3

When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickly. Estimated Wombat Population Year 1 2 3 4 5 Wombats 1000 2000 4000 8000 16,000 The researcher decided that the population growth followed a geometric sequence. He wrote the explicit formula an = 1000(2)n – 1 to model the growth, and used this formula to predict the populations for years 6, 10, and 50.

Answers

Answer:

Yes

Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.

The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.

To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.

For year 6 (n = 6):

a6 =  [tex]1000(2)^6[/tex] – 1

a6 = 1000(64) – 1

a6 = 64,000 – 1

a6 ≈ 63,999

The predicted population for year 6 is approximately 63,999 wombats.

For year 10 (n = 10):

a10 = [tex]1000(2)^ 10[/tex]

a10 = 1000(1,024) – 1

a10 = 1,024,000 – 1

a10 = 1,023,999

The predicted population for year 10 is 1,023,999 wombats.

For year 50 (n = 50):

a50 = [tex]1000(2)^50[/tex] – 1

a50 = 1000(1.1259 x 10¹⁵ ) – 1

a50 = 1.1259 x 10¹⁸ – 1

a50 ≈ 1.1259 x 10¹⁸

The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.

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What is the best description of the relationship in the scatterplot below?
Chose 1 answer
A- positive linear association
B- negative linear association
C-Nonlinear association
D- no association

Answers

Answer:

a becuase it is just a so if you get that wroung dont blem me lol

Step-by-step explanation:

Answer:

A - Positive linear association

Step-by-step explanation:

You can see that the overall direction of the graph is going up, therefore, this graph has a postivie association.


At the end of January, Garrett had $176 in his
savings account. By the end of February, he
had $217. To the nearest percent, what is the
percent change in the amount of money in
Garrett's savings account?

Answers

Answer:

bank account cant give me 5 bank name

The list below shows the number of train tickets sold each
week during an eight-week period.
2945, 4572, 3560, 3359, 4089, 2841, 3283,
4266
What is the range of the data?

Answers

Answer: The range is 1731

Step-by-step explanation: lowest number 4572- 2841 highest

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

Answer:

27/2 is the value of the number.

Let the number be x.

According to the question,

12(x-12)=18

x-12=18/12

x-12=3/2

x=3/2+12

x=3/2+24/2

x=27/2

HOPE IT HELP :)

Answer:

13.5    27/2      13 (1/2)   all the same

Step-by-step explanation:

(x-12)x12  = 18

12x-144 = 18

12x = 162

x = 162/12 = 27/2  = 13(1/2) = 13.5

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 cm2

Answers

Answer:

a) The area of each square is 81 square centimeters.

b) The side length of the square is 9 centimeters.

c) The perimeter of the rectangle is 54 centimeters.

Step-by-step explanation:

Statement is incomplete. After some web research we conclude that the complete statement is the following:

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:

a) The area of each square.

b) The side length of each square.

c) The perimeter of the rectangle.

a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.

b) The area formula for squares ([tex]A[/tex]), in square centimeters, is:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the side length of the square, in centimeters.

If we know that [tex]A = 81\,cm^{2}[/tex], then the side length of the square is:

[tex]l = \sqrt{A}[/tex]

[tex]l = \sqrt{81\,cm^{2}}[/tex]

[tex]l = 9\,cm[/tex]

The side length of the square is 9 centimeters.

c) The perimeter formula of the rectangle ([tex]p[/tex]), in centimeters, is presented below:

[tex]p = 6\cdot l[/tex]

[tex]p = 6\cdot (9\,cm)[/tex]

[tex]p = 54\,cm[/tex]

The perimeter of the rectangle is 54 centimeters.

Solve for x.
Anyone know how to do this?

Answers

Answer:

hope this helps you look it once.

5) A qué % anual se prestó un capital de 1700 soles que en 1 año y 3 meses ha producido 255 soles de interés?

Answers

Answer:

12%

Step-by-step explanation:

Interés simple = Principal × Tasa × Tiempo

Tasa = Interés simple / Principal × Tiempo

Principal = 1700 soles

Tiempo = 1 año y 3 meses

12 meses = 1 año

3 meses = 3/12 = 1/4 = 0.25

Tiempo = 1.25 años

Tasa = 255 /1700 × 1.25

= 0.12

= 0.12 × 100

= 12%

A model of a car is built with a scale of 1 inch : 4 feet. If the length of the model car is 2.7 inches, then the length of the actual car is how many inches?

Answers

Answer:

10.8

Step-by-step explanation:

Just do 4 x 2.7

HELP DUE IN 10 MINS!

Which equation has the following: Center (-7, 12) and radius 3.

A. (x−7)2 +(y − 12)2 = 9

B. (x+7)2 + (y - 12)2 = 3

C. (x+7)2 +(y + 12)2 = 3

D. (x+7)2 +(y − 12)2 = 9

Answers

Answer:

D

Step-by-step explanation:

(x+7)²+(y-12)²=9

____________

Answer:

[tex]\text{D. }(x+7)^2+(y-12)^2=9[/tex]

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

For the first four days of a five day vacation, the mean temperature was 80 degrees. What must the temperature be on the fifth day in order for the mean temperature to be 82 degrees?

Answers

Answer:

The 5th day must be 90

Step-by-step explanation:

The first 4 days averaged out to 80

You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.

80*4 = 320

Now you need to add another day into the mix. Call it x

320 + x

Now there are 5 days, not 4, and the new total is 82.

(320 + x) / 5 = 82          Multiply both sides by 5

5*(320 + x) / 5 = 82 *5

320 + x = 410                 Subtract 320

-320        -320

x = 90

If a right triangle has side lengths that measure 4 and 9, what is the length of the hypotenuse to the nearest hundredth (2 decimal places)?

Answers

The length of the hypotenuse will be 9.85.

What is the value of the expression 1/3x - 3/4 when x = 1/4

Answers

Answer:

-2/3

Step-by-step explanation:

Can someone please help mweeeeeee

Answers

Answer:

D

Step-by-step explanation:

180 degrees in a triangle

102+(x+6)+(x+15)=180

remove parenthesis and combine like terms

123+2x=180

subtract 123 from both sides

2x=57

divide

x=28.5

substitute x for its actual value

28.5+6

angle A= 34.5

28.5+15

angle B= 43.5

Find the missing measure angle

Answers

Answer:

Step-by-step explanation:

x+90+90+78=360(sum of 4 angles is always 360 degree)

x+258=360

x=360-258

x=102

Answer:

[tex] {x}^{o} = {102}^{o} [/tex]

Step-by-step explanation:

Hint:

sum of angles = 360°

Simplify:

[tex] {x}^{o} + {78}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ {x }^{o} + 258^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {258}^{o} \\ {x}^{o} = {102}^{o} [/tex]

Hope it is helpful....

Please help if you can

Answers

Answer:

9x-6=84(being vertically opposite angle )

9x=84+6

x=90/9

x=10

Step-by-step explanation:

note: vertically opposite angles are always equal.

A company that makes robotic vacuums claims their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. What are the appropriate hypotheses?

H0: μ = 2 versus Ha: μ < 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ > 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model
H0: μ ≠ 2 versus Ha: μ = 2, where μ = the true mean run time for all vacuums of this model

Answers

Answer:

The answer is C. H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model

Step-by-step explanation:

EDGE 2021

find the coordinates of the intersection of the diagonals of parallelogram PQRS with vertical P(-5,5) Q(2,5) , R(4,-3) and S(-3,-3)

Answers

Given:

The vertices of parallelogram PQRS are P(-5,5) Q(2,5) , R(4,-3) and S(-3,-3).

To find:

The intersection of the diagonals of parallelogram PQRS.

Solution:

We know that the diagonals of a parallelogram bisect each other.

In parallelogram PQRS, PR and QS are the diagonals of the parallelogram.

It means the intersection of PR and QS is the midpoint of PR and QS.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Midpoint of diagonal PR is:

[tex]Midpoint=\left(\dfrac{(-5)+4}{2},\dfrac{5+(-3)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-1}{2},\dfrac{2}{2}\right)[/tex]

[tex]Midpoint=\left(-0.5,1\right)[/tex]

Therefore, the coordinates of the intersection of the diagonals of parallelogram PQRS are (-0.5,1).

A rectangle has a length of
381
and a width of 33 inches. Find the area of the rectangle. (2 points)

Answers

Length times width equals area.
381*33=12,575

Answer: 12,573 sq inches

find the value of x pls help

Answers

mwahahahahauauauhahauaha i love you hahaha

Can I get a answer for all of it?

Answers

Answer:

R'=(-3,6)

Q'=(-3,-3)

S'=(7,6)

T'=(7,-3)

Answer:

see explanation

Step-by-step explanation:

A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then

Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )

R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )

S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )

T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )

What is the measure of ZP
609
x 80°
F
40°
H
100
80
90°
40°

Answers

Answer:

100 degrees

Step-by-step explanation:

angle x is next to 80. the sum of angles that form a straight line = 180 degrees. So, 180-80 =100 degrees

Choose the best description of an irregular polygon
1. a polygon with equal sides.
2. a polygon with unequal sides and angles
3.a polygon with unequal sides
4.a polygon with unequal angles

Answers

Answer: A polygon that does not have all sides equal and all angles equal.

Step-by-step explanation:A polygon that does not have all sides equal and all angles equal. (A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.)

The mean is ____ one of the data values

A. always
B. sometimes
C. never​

Answers

THE ANSWER IS B your welcome

Answer:

B. Sometimes

Step-by-step explanation:

When there is an odd set of numbers the mean will ALWAYS be one of the data values.

When there is a even set of numbers the mean will sometimes be one of the data values.

This means only SOMETIMES it can go with date values!

(please give brain i don't normally ask but every time i answer somebody correct i don't get it and i cant lvl up cuz of it  ;-;)

~ LadyBrain

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