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Marianna [84]
3 years ago
13

Find the slope of the line between points A and B. Simplify your answer.

Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0
The slope of the two points is -2
Taya2010 [7]3 years ago
6 0

Answer:

-2

Step-by-step explanation:

From the given graph, the point A(1, -4) and B(-1, 0)

Slope (m) = (y2 - y1) / (x2 - x1)

x1 = 1, y1 = -4, x2 = -1 and y2 = 0

Slope (m) = (0 - (-4))/(-1 - 1)

= 4/-2

Slope = -2

Thank you.

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Solve for x: 3(x + 1) = −2(x − 1) − 4<br><br> 1<br><br> −1<br><br> −5<br><br> −25
LekaFEV [45]

Answer:

x = - 1

Step-by-step explanation:

3(x + 1) = - 2(x - 1) - 4 ←  distribute parenthesis on both sides

3x + 3 = - 2x + 2 - 4

3x + 3 = - 2x - 2 ( add 2x to both sides )

5x + 3 = - 2 ( subtract 3 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

7 0
2 years ago
If csc θ=8/7, which equation represents cotθ
TEA [102]
Sin θ = opposite leg/hypotenuse 
csc θ = hypotenuse /opposite leg =8/7

cot <span>θ = adjacent leg/opposite leg

hypotenuse =8
opposite leg =7
We need to find adjacent leg.

(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + </span>(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15

adjacent leg=+/-√15
<span>WE need only positive root,
so </span>adjacent leg =√15

cot θ = √15/7 or 0.5533<span>

</span>
6 0
3 years ago
Megan makes and sell slime online.
BARSIC [14]

Answer:

44 containers

6 0
2 years ago
how many 5 card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52 card deck
Mashcka [7]
2 aces can be selected from 4 aces by 4C2 = 4!/2!(4 - 2)! =4!/ (2! x 2!) = (4 x 3 x 2 x 1)/(2 x 1 x 2 x 1) = 6 ways
3 kings can be selected from 4 kings by 4C3 = 4!/3!(4 - 3)! =4!/ (3! x 1!) = (4 x 3 x 2 x 1)/(3 x 2 x 1 x 1) = 4 ways

Therefore, the number of <span>5 card poker hands consisting of 2 aces and 3 kings possible with an ordinary 52 card deck is 6 x 4 = 24</span>
5 0
3 years ago
Given parallelogram SNOW, diagonals SO and NW intersect at D.
Reil [10]

Answer:

The length of SO is 46 units

Step-by-step explanation:

<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

4 0
2 years ago
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