Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)

Answers

Answer 1

Answer:

11x - y = - 24

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

11x - y = - 24

Hope this helps you


Related Questions

–5 d + (–6) u – 3, when d = 2 and u = 7

Answers

Answer:

-55

Step-by-step explanation:

when d= 2 and u=7

-5(2)-6(7)-3

-10 - 42 -3 = -55

Please mark as Brainlest

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 4 is an expression.

3x = 4 is an expression.

We have,

-5d + (-6)u - 3 ______(1)

Substitute d = 2 and u = 7 in (1).

-5 x 2 + (-6) x 7 - 3

Add all the like terms.

-10 - 42 - 3

-10 - 45

- 55

Thus,

The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55.

Learn more about expressions here:

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Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c

Answers

Answer:

So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60

So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a

Then we do recipricol. 2/sin(105) = a/sin(60)

multiply by sin(60) both sides.

2sin(60)/sin(105) = a

round and solve and we get a is equal to

1.7931 or 1.8

A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?

Answers

Answer:

45.45 batteries

Step-by-step explanation:

The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]

45.45 batteries are expected to be defective.

Answer:

45

Step-by-step explanation:

An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.

Answers

Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

Here are seven tiles Tom takes a tile at random. He does not replace the tile. Tom then takes at random a second tile. a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Answers

Answer:

a) 1/21

b) 8/21

Complete question:

There are seven tiles:

1,1,3,3,3,5,5

Tom takes a tile at random. He does NOT replace the tile.

Tom then takes another tile at random.

a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Step-by-step explanation:

Total number of tiles = 7

Let Probability of having number 1 on the tiles = Pr (having 1)

Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)

Number of times 1 appears on tiles = 2

Pr (having 1) = 2/7

Two tiles are drawn without replacement:

Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)

= Pr (having 1) × Pr (having 1)

Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.

= 2/7 × 1/6

= 2/42

Probability of both tiles having number 1 on them = 1/21

b) If 1st tile = 1, the second tile could be = 3 or 5

The pairs = Pr(1 and 3) and Pr(1 and 5)

Where Pr = probability

The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6

Number of times 3 appears on tiles = 3

Number of times 5 appears on tiles = 2

Pr(1 and 3) = (2/7 × 3/6) = 1/7

Pr(1 and 5) = (2/7 × 2/6) = 2/21

If 1st tile = 3, the second tile = 5

Pr(3 and 5) = (3/7 × 2/6) = 1/7

If 1st tile = 5, the second tile = 0 (no number is greater than 5

Pr(5 and 0) = 0

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)

= 1/7 + 2/21 + 1/7 + 0

= (3+2+3)/21 = 8/21

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21

which two operations are needed to write the expression that repersents "four times the difference of a number and three"​

Answers

Answer:

4 (x-3)hhkjcdrtuvddistheansww

What is the formula for the circumference of a circle in terms of r?

Answers

Answer:

2 x pi x r

Step-by-step explanation:

i just copy n pasted this on google

Step-by-step explanation:

c= 2πr

Look at the graph What is slope of the line

Answers

Where is the graph, I see no graph at all we can’t answer without a picture sorry

Answer:

You didn't insert the/a file

Step-by-step explanation:

Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers

Answers

Answer:

Step-by-step explanation:

if the number is below 5, go down

if the number is 5 or above, go up

1,600 is closer to 2,000

1,483 is closer to 1,000

Then, 2000 > 1000

Answer:

Brainliest!

Step-by-step explanation:

1600 rounded is 2000

1483 rounded is 1000

Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.

Answers

Answer:

she'll have $9800

Step-by-step explanation:

35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)

1400 times 7 (how many months) is 9800

Jacqui have earned $9800 after she’s worked 7 months.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Jacqui makes $35 an hour working as an accounting assistant.

She works 40 hours each month.

Here, number of hours she worked in 7 months

= 40×7

= 280 hours

Total money = 280×35

= $9800

Therefore, Jacqui have earned $9800 after she’s worked 7 months.

To learn more about the unitary method visit:

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Plzzzzz urgenttttt❤️❤️❤️

Answers

D. 2322.50

Step-by-step explanation:

I hope it's right.

which graph represents a quadratic function with a vertex at (0,0)

Answers

Answer:

parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.

Step-by-step explanation:

Answer: C) the third graph

Step-by-step explanation: i got 100% on my quiz, hope this helps!!

A set of numbers is said to be COMMUTATIVE under the operation '+' if m + n = n + m, for any two numbers m and n of that set. Similarly, a set of numbers is said to be COMMUTATIVE under the operation '×' if m × n = n × m.

Which of the following sets is COMMUTATIVE under the operation '-'?

A)the set of integers
B)the set of natural numbers
C)the set of rational numbers
D)none of the above

Answers

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

Learn more:

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I need help with this question.

Answers

12^2 + 9^2 = x^2

144 + 81 = x^2

225 = x^2

√225 = √x^2

x = 15

need help asap Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon.

Answers

68 is the area of the given polygon

+18 pts

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.

Help please !

Answers

Find attached to this answer, the appropriate diagram that would help us better understand the question

Answer:

10779 feet

Step-by-step explanation:

We would be using the Trigonometric function called Tangent to solve this question.

tan θ = Opposite side / Adjacent side

From the attached diagram,

θ = 33°

Opposite side = 7000 feet

Adjacent side = the distance of bird (B) from the plane (P) = unknown

tan 33° = 7000 feet / Adjacent side

Cross multiply

tan 33° × Adjacent side = 7000 feet

divide both sides by tan 33°

Adjacent side = 7000 feet / tan 33°

Adjacent side = 10779.054747 feet.

Approximately = 10779 feet.

Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.

What is the square root of -1?

Answers

The square root of -1 “i”

Given the coordinates of (5,2) and (-1,2), the distance is:
A) 6

B)None of the choices are
correct.

C) 16

D) 50

Answers

Answer:

A) 6

Step-by-step explanation:

[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]

URGENT!!! JUST NEED THESE 3!!! WILL GIVE BRANLIEST!!!
1. What is the measure of angle x? IMAGE 1 TO THE RIGHT SIDE IT IS 23 DEGREE AND TO THE LEFT IT IS 10 DEGREE
A) 100°
B) 147°
C) 60°
D) 33°
2. What is the measure of angle EGH? IMAGE 2
A) 102°
B) 38°
C) 78°
D) 26°
3. Find the value of x. IMAGE 3
A) 9.14
B) 15.2
C) 5.58
D) 10

Answers

Answer:

B.

A.

D.

Step-by-step explanation:

1.) Do 10 + 23 + x = 180. x = 147 Triangles add to 180, remember this or fail

2.) Do 64 + 38 + x = 180 to find the missing ∠G. G = 78

Now, a line is equal to 180 degrees. Remember this or you will fail. Do 180 - 78 to get your missing angle. 102 degrees

3.) Adjacent angles add up to equal 180, this is a very simple geometry concept. Remember it. 5x + 3 + 12x + 12 = 180

17x + 15 = 180

Subtract 15 from both sides to get 17x = 165

Divide both sides by 17 to get your x value of about 10

if a car cover a distance of 189km in 4.5 hours, what is it average speed?​

Answers

Answer: 42 kmh

Step-by-step explanation:

Speed = distance / time

= 189 / 4.5

= 42 kmh

Answer:

Average Speed = 42 km/hr

Step-by-step explanation:

Given:

Distance = 189 km

Time = 4.5 hours

Required:

Average Speed = ?

Formula :

Average Speed = Total Distance Covered/ Total Time Taken

Solution:

Putting the givens

Average Speed = 189/4.5

Average Speed = 42 km/hr

HELP ASAP!!

What is the surface area of a CUBE where the length of each edge is 4 feet?

A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet

Answers

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

State true or false
The measure of the supplementary angle of the complementary angle of an angle with measure 35 degree is 125 degree

Answers

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student need to go completely around the outside of the frame?​

Answers

Answer:

B

Step-by-step explanation:

Circumference is equal to [tex]\pi d[/tex]

[tex]C=\pi d[/tex]

[tex]C=\pi \times 8[/tex]

Answer:

there u go

Step-by-step explanation:

an angle inscribed in a semi circle is​

Answers

Answer:

Right angle therom

Step-by-step explanation:

Help will mark brainliest

Answers

Answer:

- 1 4/5

Step-by-step explanation:

-1 1/5 + - 3/5

Since the signs are the same, we add and take the sign

1 1/5 + 3/5

1 4/5

The sign is negative

- 1 4/5

On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative)  you will end up at - 1 4/5

Can someone please help me

Answers

Answer:

880

Step-by-step explanation:

600miles = 3168000feet

316800/3600=880

The answer is 800 !!!!!!!!!!

Which polynomial is in standard form?

Answers

Answer:

B

Step-by-step explanation:

When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!

Someone who knows what they doing

Answers

Answer: 25.12 and 12.56

Step-by-step explanation:

in the formula, you will notice that you are trying to identify the base(b) and calculate the volume(V). and they are written at the top of the page, 12.56 cm^2 and 25.12cm^3. so the missing things are 25.12 and 12.56.


A sugar cookie recipe that makes 3 dozen cookies calls for 1.5 cups of white sugar. How much white sugar would you need to make 5
dozen cookies?

Answers

Answer:

Brainliest here!

Step-by-step explanation:

3 dozen cookies = 1.5 cups

one dozen cookies= 0.5 cups

5 dozen cookies = 2.5 cups of sugar

please thank youuu asap!!!!!!!!!!!!!!!!!

Answers

All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)

Draw a straight line through (0,0) and (3,5) to graph

The equation of this line is y = (5/3)x

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