Which compound inequality is graphed?

Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2

Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

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

So, we have:

(a) (15, 30) and (20, 40)

$m = \frac{40 -30}{20- 15}$

$m = \frac{10}{5}$

$m =2.00$

(b) (12, 32) and (18, 48)

$m = \frac{48 -32}{18- 12}$

$m = \frac{16}{6}$

$m = 2.67$

(c) (27, 12) and (72, 32)

$m = \frac{32-12}{72- 27}$

$m = \frac{20}{45}$

$m = 0.44$

(d) (45, 15) and (60, 20)

$m = \frac{20-15}{60- 45}$

$m = \frac{5}{15}$

$m = 0.33$

(e) (27, 2) and (243, 18)

$m = \frac{18-2}{243- 27}$

$m = \frac{16}{216}$

$m = 0.07$

(f) (18, 63) and (24, 84)

$m = \frac{84-63}{24- 18}$

$m = \frac{21}{6}$

$m = 3.50$

(g) (63, 9) and (84, 12)

$m = \frac{12 -9}{84- 63}$

$m = \frac{3}{21}$

$m = 0.14$

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

6 0

2 years ago

Find the difference between (-11,-11) and (-12,-8) round answer to the nearest hundredth

lisov135 [29]

Answer:

Step-by-step explanation:

The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.

6^2 + 2^2 = x^2

36 + 4 = x^2

x^2 = 40

x = 6.32

3 0

2 years ago

Aeva is selling friendship pins as a service project. Each pin with green beads sells for $3. Each pin with red beads sells for

Luba_88 [7]

Answer:69

Step-by-step explanation:

69•2= 138

69-11=58

58•3=174

174+138=312

6 0

2 years ago

Read 2 more answers

For every 15 students there are 3 teachers in the school. Based on this information, about how many teachers are in a school wit

Yuliya22 [10]

This means for every 5 students there will be 1 teacher so 550/5=110
So answer is 110 teachers

3 0

2 years ago

Read 2 more answers

Each of the six letters stands for a different number, 1 through 9. Using the three clues, can you deduce the number represented

-BARSIC- [3]

Answer:

A = 9

B = 2

C = 5

D = 1

E = 8

F = 7

Step-by-step explanation:

A 9 B 2 C 5 = 16

D 1 E 8 F 7 = 16

10 10 12

BxC (2x5) = 10

A+D (9+1) = 10

4 0

3 years ago