1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aliina [53]
3 years ago
7

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

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

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

You might be interested in
a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold. How many pounds of real gold are in the padloc
Pachacha [2.7K]

Answer:i dont know

Step-by-step explanation:

Help me

8 0
3 years ago
Will is selling T-shirts for $15 and sweatshirts for $20 at the basketball game. Wills club team needs to raise over $200 for th
Paladinen [302]

Answer:

X = 0     4     8     12

Y =  10   7     4      1

Step-by-step explanation:

Given:

Cost of one T shirt = $15

Cost  of one sweater = $ 20

To find :

The graph that will represent both number of T-shirts and sweatshirts = ?

Solution:

Let the number of t-shirts be x

The number of sweaters  be y

They want to rise a found of $200

Then  the equation to represent this situation is

15x + 20y = 200

By trial and error method

15(12) + 20(1) = 200

15(8) + 20(4) = 200

15(0) + 20(10) = 200

15(4) + 20(7) = 200

8 0
3 years ago
Cos X<br> Y<br> 12<br> X<br> 16<br> 20<br> Z<br> 4<br> A) 3/4<br> B) 4/3<br> C)3/5<br> D) 5/4
yanalaym [24]

Answer:

C.

\cos X =  \frac{12}{20}  \\  =  \frac{3}{5}

5 0
3 years ago
Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
PLEASE NEED HELP RIGHT NOW
erica [24]

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A ticket agency charges 9.5% fee on all tickets sold .if a ticket cost 40$ what is the fee
    15·2 answers
  • Eight less than four times a number is less than 56. What are the possible values of that number?
    9·1 answer
  • A group of 120 students were asked how old they were when they lost their first tooth. 50% said they were 7 years old. How many
    11·1 answer
  • Whats the first step when solving for g? 6g-4=8
    13·2 answers
  • © Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How
    14·1 answer
  • Hey could you help me? thank you a lot
    7·2 answers
  • A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y prime prime plus 9 y
    15·1 answer
  • A large rectangular room needs to be carpeted and has dimensions 18.75 ft by 28 ft.
    5·1 answer
  • at a toy store colton can buy a package of 6 mini footballa for $7.50. or a package of 8 mini footballs for $9.60. wich option h
    13·1 answer
  • There are five nickels and five dimes in your pocket. With replacing, what is the probability that you will pull a nickel the fi
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!