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
weeeeeb [17]
3 years ago
11

1.

Mathematics
2 answers:
Anna007 [38]3 years ago
5 0

Answer:

1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.

Step-by-step explanation:

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

(1)

Two points are (-2,5) and (1,4).

m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}

m=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}

m=\frac{10-7}{3-0}=\frac{3}{3}=1

m=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}

Therefore option D is correct.

(3)

The pair of points (6, y) and (10, -1). The slope is \frac{1}{4}.

\frac{1}{4}=\frac{-1-y}{10-6}

\frac{1}{4}=\frac{-1-y}{4}

1=-1-y

y=-2

Therefore option B is correct.

(4)

For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.

Therefore option D is correct.

(5)

Two points from the table are (2,110) and (3,165).

m=\frac{165-110}{3-2}=\frac{55}{1}

Therefore option D is correct.

Tanya [424]3 years ago
4 0

Answer:

For 1: The correct option is C.

For 2: The correct option is D.

For 3: The correct option is B.

For 4: the correct option is D.

For 5: The correct option is D.

Step-by-step explanation:

  • For 1:

To calculate the slope of a line formed by two points, we use the formula:

Slope=\frac{y_2-y_1}{x_2-x_1}     ....(1)

Points given are (-2,5) and (1,4)

Slope=\frac[4-5}{1-(-2)}=\frac{-1}{3}

Hence, the correct option is C.

  • For 2:

Using equation 1, we calculate the slopes for every options, we get:

Option A: Points are (12,13) and (17,10)

Slope=\frac{10-13}{17-12}=\frac{-3}{5}

Option B: Points are (16,15) and (13,10)

Slope=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}

Option C: Points are (0,7) and (3,10)

Slope=\frac{10-7}{3-0}=\frac{3}{3}=1

Option D: Points are (11,13) and (8,18)

Slope=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}

Hence, the correct option is D.

  • For 3:

We are given two points (6,y) and (10,-1) and the slope of the line is \frac{1}{4}

Using equation 1, we get

\frac{1}{4}=\frac{-1-y}{10-6}

\frac{-1-y}{4}=\frac{1}{4}

-1-y=1\\y=-2

Hence, the correct option is B.

  • For 4:

The slope of any line is \tan\theta, where \theta is the angle made by the line with the positive x-axis in counter-clockwise direction.

So, the vertical line will form 90° with x-axis and hence, \theta =90^o

As, \tan90^o=\infty

Hence, the correct option is D.

  • For 5:

The given data is forming a linear relation. So, the slope will be same throughout its entire length.

The points taken for the calculation of slope are (2,110) and (3,165)

Slope=\frac{165-110}{3-2}=\frac{55}{1}

Hence, the correct option is D.

You might be interested in
A shopper bought the following items at the farmer’s market: 15 tomatoes for $9.30 What was the cost per tomato?
Nataly_w [17]

Answer:

The answer is 3.12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What two consecutive whole numbers lie between the square root of 55?
Kamila [148]
\boxed{7 \ \textless \  \sqrt{55} \ \textless \  8}\\\\because\ 7^2=49 \ \textless \  55\ and\ 8^2=64 \ \textgreater \  55
6 0
3 years ago
Read 2 more answers
Number sequences 2, 12, 72, 432, 2592.... is it arithmetic, geometric, or neither?
abruzzese [7]
It is geometric because it is increasing by a common factor. If you multiply the previous number by 6 you receive the next number. If it were arithmetic you would add the number, not multiply.
6 0
3 years ago
3pqr+6pt+3pqs<br><br><br>factories
Sunny_sXe [5.5K]

3pqr + 6pt + 3pqs \\  = 3p(qr + 2t + qs)

Hope you could understand.

If you have any query, feel free to ask.

5 0
3 years ago
Read 2 more answers
What are the values of a and b in the equation
Nat2105 [25]

Answer:

a= -2     b =4

Step-by-step explanation:

I put it in a calculator and found the answer

5 0
2 years ago
Other questions:
  • Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their
    5·1 answer
  • Find the length of the side of a square with an area of 49.
    9·1 answer
  • A professional baseball team will play 1 game Saturday and 1 game Sunday. A sportswriter estimates the team has a 60% chance of
    5·1 answer
  • A cable installer charges 40 per hour plus a 60 service charge your father firm hires to hook up his company's internet service
    5·1 answer
  • Multivariable Calculus Question:
    8·1 answer
  • What is the scale factor for the set of similar figures? Type in your answer as a decimal.
    10·1 answer
  • .3 Give, in simplest form, the ratio of polenta: mixed frozen berries.​
    7·1 answer
  • Macy eats 1 piece of candy corn on October 1st,
    11·1 answer
  • Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar
    7·2 answers
  • Descomp´on 16 en suma de dos n´umeros con producto maximo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!