Line CD passes through points C(1,3) and D(4,-3). What is the equation of line CD in standard form?

Answers

Answer 1
(1,3) means x1 = 1 and y1 = 3
(4,-3) means x2 = 4 and y2 = -3

To find slope:
(y2-y1) / (x2-x1)
(-3-3) / (4-1)
-6 / 3
Slope is -2

To find intercept:

y-y1 = m(x - x1)
y - 3 = -2(x - 1)
y - 3 = -2x + 2
y = -2x + 5 :)
Answer 2

Answer:

2x + y = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = C (1, 3) and (x₂, y₂ ) = D (4, - 3)

m = [tex]\frac{-3-3}{4-1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 3 )

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - 2x + 5 ← equation in slope- intercept form

Add 2x to both sides

2x + y = 5 ← equation in standard form


Related Questions

Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is

Answers

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

Find the area of this triangle in square centimeters .

Answers

Step-by-step explanation:

The answer is 24 I think.

using the formula for finding the area of a triangle, which is....

Area= b times height divided by 1/2 or 2

First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.

Step-by-step explanation:

the area of the triangle can be find by using the heron's formula...

that is:

√s-a×s-b×s-c

So,

a=8cm,b=6cm,c=10cm

Semi perimeter= 8+6+10/2=24/2=12

√12(12-8)(12-6)(12-10)

=√12×4×6×2

=√ 2×2×3×2×2×2×3×2

= √2×2×2×3

= 12 cm...

someone annnnswer pls

Answers

Answer:

t = 16

Step-by-step explanation:

Hope this helped :]

Now,

10/5t - 75 = 12/6

10*6 = 12 (5t - 75)

60 = 60t - 900

60 + 900 = 60t

960 = 60t

t = 960/60

t = 16

I hope it's help you...

Mark me as brainliest...

can you help me with this. Find the surface area ​

Answers

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.

Answers

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational


PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2

Answers

In square based pyramid
Length of base (a)=6cm
Slant height (l)=4 cm
Now,
LSA=2al
= 2*6*4
=48cm^2

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

[tex]\frac{1}{2} *6*4[/tex] = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

Please explain the answer and show your work

Answers

Answer:

6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

(6x+15)°
63° triangle

Answers

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

4,-7 -1,5 what’s the midpoint

Answers

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

Midpoint:  x,m , y,m =  ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex])    = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment -  ([tex]x_{m} , y_{m}[/tex]) = (4,5)

Daine simplified the expression below.

8(1 + 2i) – (7 – 3i) = 1 + 5i

What mistake did Daine make?

Answers

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:

What are the solutions of the equation −2x−6=−2^x−6 ?

Select each correct answer.


x=−1

x = 0

x = 1

x = 2

x = 3

Answers

9514 1404 393

Answer:

  x = 1, x = 2

Step-by-step explanation:

A graphing calculator shows the graphs cross at x=1 and x=2.

__

There is no algebraic method of solving an equation like this. Trial and error is another method that works.

! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answers

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]

ForEASY BRAINLIEST!!!

Answer:
A.
B.
C.

Answers

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

the perimeter of a rectangle is 56 meters. Find the dimensions of the rectangle if they are in the ratio 1:3

Answers

Answer:

length= 7m and breadth= 21m

Step-by-step explanation:

Perimeter=56m

Perimeter of a rectangle= 2(l+ b)

Dimensions in the ratio 1:3

1:3= 1x and 3x

Take length as 1x and breadth as 3x

2(1x+3x)= 56m

2(4x)= 56

8x=56

x= 56/8 = 7m

length= 1x= 7m

breadth= 3x= 3*7 = 21m

Please mark me as brainliest

Help me please! I will give brainliest!

Answers

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.

I need help with this can someone help me please!!! I will give brainlist, no links!!
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?

Answers

Answer:

Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building

given log base3 4 = log base 1/27 k , find the value of k .​

Answers

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

However, does these questions will be marked as brantliest !!!!

Answers

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?

Answers

Answer:

$45.07

Step-by-step explanation:

46.91-1.84= 45.07

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

Answers

Answer:

x = 9

Step-by-step explanation:

24x - 18 - 8x - 30 = 96

add or subtract like terms

16x - 48 = 96

shift - 48 to right hand side . when it goes to other side minus changes to plus

16x = 96 + 48

16x = 144

x = 144/16

x = 9

to prove that the value of x satisfy the given equation or not.

to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

96 = 96

since both sides is equal to 96 it can be concluded that the value of x is 9.

Problem

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

AnswerX = 9

Step by Step Explanation

24x - 18 - 8x - 30 = 96

First let's just add/subract the following terms.

16x - 48 = 96

Second.. shift the 48 to the right side. after that change the minus sign into plus sign.

16x = 48 + 96

16x = 44

x = 144/16

x = 9

Explanation:

So we just prove that the value of x satisfy the equation true or not.

To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.

So we begin to solve it!

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

Since that all both sides are equal to 96 it can be concluded that the value of x is 9.

#LearnwithBrainly

If a number is chosen at random from the numbers 1 to
20 inclusive, what is the probability that a single-digit
number will be picked? ( give your answer in simplified
fractions eg. 2/5 when necessary)

Answers

Answer:

1/20

Step-by-step explanation:

only a single number can be chosen out of 20. And 1/20 is the most simplified it can get.

The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.

Answers

12.35 because you are divided in to equal parts

Factorise a² - b²
.......

Answers

(a-b)(a+b)

Regards,
ArmyCee:)

[tex]\longrightarrow{\green{ (a + b)(a - b) }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex] ={a}^{2} - {b}^{2} [/tex]

[tex] = (a + b)(a - b)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.

I NEED THIS FAST

Answers

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

Help me please which expression is equal

Answers

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me ​

Answers

Answer:

Its actually 31

Step-by-step explanation:

Try drawing it and counting the matches

I need help with number 35 please help

Answers

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 222 classical songs, 131313 rock songs, and 555 rap songs on it.
What is \text{P(rock song or rap song})P(rock song or rap song)start text, P, left parenthesis, r, o, c, k, space, s, o, n, g, space, o, r, space, r, a, p, space, s, o, n, g, end text, right parenthesis?

Answers

ANSWER

0.9

Step-by-step explanation:

no.of favourable outcome/no.of.possible outcome  

13+5=18 favourable outcome and 20 possible outcome 18/20=0.9

Answer:0.9

Step-by-step explanation: khan academy

Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4​

Answers

Answer:

option D

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39 = adjacent / hypotenuse

0.77 = x / 7

x = 7*0.77

x = 5.39

x = 5.4

Answer:

D. 5.4

Step-by-step explanation:

Using trigonometric ratio

cos 39 = x/7

cross multiple

x = cos39(7)

x=5.4

In △FGH, L is the centroid. If LK = 19, find GL

Answers

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

Other Questions
can anyone help me in this questions Mrs. Glass, a new teacher, notices the literature that the English language learners are required to read has many difficult words. She discusses the situation with her mentor teacher, who has been teaching English language learners for many years and is experienced with the laws and requirements for English language learner education. Of the following, what is the most appropriate response by the mentor teacher?A The teacher should work with the students to help explain the meaning of the words so the students are exposed to a wide vocabulary.B The teacher should provide supplemental literature that contains words familiar to the students.C The students should highlight the words they do not know and look them up in a dictionary.D The teacher should rewrite the text to shorten the difficult words to make the literature more understandable for the students. Please answer quickly this is due today and I just cant figure it all out!!In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities g The most stable nucleon in terms of binding energy per nucleon is 56Fe. If the atomic mass of Fe-56 is 55.9349 amu, calculate the binding energy in J/nucleon and in Mev/nucleon for Fe-56. The atomic mass of a proton is 1.00782 amu and the atomic mass of a neutron is 1.00866 amu. Would the binding energy per nucleon for U-235 be larger or smaller than that of Fe-56 Tm v d vi phm lut c bn ca t duy The goods exported to Uruguay arrived at the port on the 12th day of this month. Today is the 15th, the bank informed that the customer had not redeemed the bill. We guess it may be the reason for the holidays, so the customer did not redeem in time. I wonder if the destination port will incur any expenses. What should we ask the bank to do with this issue? Brainliest if correct Which best compares radiation and conduction?C Both transfer thermal energy from warm objects to cooler objects.O Both can transfer energy through empty space.O Both transfer thermal energy by electromagnetic waves.O Both involve the transfer of energy through direct contact. why it is important to breath deeply during test or examination Sodium fluoroacetate (NaOCHF) is a common poison used in New Zealand to control invasive species, such as rats. It can be prepared by the substitution of a C-Cl bond in sodium chloroacetate (NaOCHCl) for a C-F bond. What is the approximate enthalpy change for this substitution reaction on a 1.500 mole sample, based on the following bond energies?C-Cl = 339.0 kJ/molC-F = 485.0 kJ/mol te de que manera crees tu que Podras apoyar a los negocios que dependen del turismo durante esta Pandemia? What was the goal of the abolitionists in the 1800s?A. To promote white supremacyB. To stop immigration to the United States from EuropeC. To end slaveryD. To convert people to Christianity A baseball is hit and its height at different one-second intervals is recorded (See attachment) How did the decline of the Soviet Union in the late 20th century affectcountries in the Eastern bloc?A. It encouraged their governments to exercise much stricter controlenteggioover their economies.B. It allowed them to overthrow communist governments in favor ofmore democratic leaders.C. It helped them acquire the technology necessary to develop andbuild nuclear weapons.D. It drew them into a competition to become the world's dominantcommunist power.SUBMIT Solve for x. Leave your answer in simplest radical form. If f(1) = 2 and f(n) = f(n 1)2 + 3 then find the value of f(3). rocks from volcanoes are used by scientists to study the interior of the earthTRUE OR FALSE Maria's Pizza Palace offers 4 types of crust, 7 toppings, and 6 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 5 different toppings and 3 different cheeses EXERCISE 2. Choose whether to use MUCH or MANY in the sentences?1. My brother is very busy. He hasn't got_____time.2. There is too____noise in the street. I can't sleep.3. How______eggs do I need for an omelet.4. Does your student know_____words in English?5. Because of e-mails, people don't receive______letters nowadays. Rita: The original purpose of government farm subsidy programs was to provide income stability for small family farmers. But most farm-subsidy money goes to a few farmers with large holdings. Payments to farmers whose income, before subsidies, is greater than $100,000 a year should be stopped.Thomas: It would be impossible to administer such a cut-off point. Subsidies are needed during the planting and growing season, but farmers do not know their income for given calendar year until tax returns are calculated and submitted the following April.Which one of the following, if true, is the strongest counter Rita can make to Thomas' objection?(A) It has become difficult for small farmers to obtain bank loans to be repaid later by money from subsidies.(B) Having such a cut-off point would cause some farmers whose income would otherwise exceed $100,000 to reduce their plantings.(C) The income of a farmer varies because weather and market prices are not stable from year to year.(D) If subsidy payments to large farmers were eliminated the financial condition of the government would improve.(E) Subsidy cut-offs can be determined on the basis of income for the preceding year.