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
Draw a number line and show all numbers that are five units away from 0
Alexxandr [17]
__________this took me like 3 mins to make
| | | | | |
0 1 2 3 4 5
7 0
3 years ago
Can somebody anybody please help me with this math problem?
Annette [7]

Answer:

30°

Step-by-step explanation:

Angle C = 55°, Angle D = Angle A = 65°, Angle B = 2x

Sum of angles in a triangle = 180°

65° + 55° + 2x = 180

120 + 2x = 180

2x = 180 - 120

2x = 60

x = 30°

3 0
3 years ago
Read 2 more answers
The circumference of a circle with a radius of 5, using 3.14 for pi, to the nearest tenth
Anuta_ua [19.1K]

Answer:

Your answer is 31.4 units squared

Step-by-step explanation:

By doing 2πr, you'll get your answer.

2*3.14*5 = 2*15.7 = 31.4

3 0
3 years ago
Combine the like terms to create an equivalent expression:<br> -3r- 6+ (-1)
Norma-Jean [14]

Answer:

-3r+5 is that answer hdj

7 0
3 years ago
Read 2 more answers
Carol, Ann, and Liz each bought a toy fish. Carol's fish is 5 inches longer than Ann's fish. Liz's fish is 9 inches longer than
hram777 [196]

Answer:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

Step-by-step explanation:

Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:

c = 5 + a

l = 9 + 2a

a = 12

Plug 12 in for a to find c and l:

c = 5 + a = 5 + 12 = 17 inches

l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches

Thus:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

6 0
2 years ago
Other questions:
  • Find the area of a triangle with sides a=5, b=8, and c= 11
    6·1 answer
  • Prime factors of 715?
    5·2 answers
  • Can someone explain to me how to do this problem???
    11·1 answer
  • A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?
    10·1 answer
  • Please help and hurry please thank you!
    6·1 answer
  • Write an algebraic expression for two fifths the cube of a number
    8·1 answer
  • Derek works at a lab with a huge circular particle accelerator. It has a diameter of 6 kilometers. What is the accelerator's rad
    13·1 answer
  • A bag contains 10 red marble and 15 green marbles.if Yukon selects a marble from the bag without looking what is the probability
    13·1 answer
  • Please Help Me Thanks! NO LINKS
    8·1 answer
  • A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does i
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!