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nadezda [96]
2 years ago
5

What is the slope between the points (4,-1) and (-4,3)?

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

<em>The formula for slope is </em>\frac{rise}{run}  = \frac{y2-y1}{x2-x1}<em>.</em>

Subtract y1 from y2. (y1= -1, y2 = 3)

3 - -1 = 4

Now subtract x1 from x2. (x1 = 4, x2 = -4)

-4 -4 = -8

Divide the difference between the y coordinates by the difference between the x coordinates.

\frac{4}{-8} or 4 ÷ -8 = -0.5

<h2>Answer:</h2>

<u>The slope between the two points is </u><u>-0.5</u><u>.</u>

Hope this helps love :)

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If sin Θ = negative square root 3 over 2 and π &lt; Θ &lt; 3 pi over 2, what are the values of cos Θ and tan Θ? cos Θ = negative
andreev551 [17]

Answer:

The correct option is the option with:

cos Θ = 1/2

tan Θ = -√3

Step-by-step explanation:

Given that

sin Θ = -√3/2

We want to find the values of

cos Θ and tan Θ

First of all,

arcsin (-60) = -√3/2

=> Θ = 60

tan Θ = (sin Θ)/(cos Θ)

tan Θ = (-√3/2)/(cos Θ)

cos Θ tan Θ = (1/2)(-√3)

Knowing that Θ = -60,

and cos Θ = cos(-Θ), comparing the last equation, we have

cos Θ = 1/2

tan Θ = -√3

8 0
3 years ago
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6 0
3 years ago
2^x-1 +2 ^ 2+ 2 ^ x =3 ^ 2 : 1/ 2^ 5
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2−1+22+2=32125

Step-by-step explanation:

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4 0
2 years ago
Math riddle!
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Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

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8 0
2 years ago
You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if
Tom [10]

The expected value of the game is $8.75.

----------------------

  • The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

  • The probability of spinning a 2 and a vowel is: \frac{1}{4} \times \frac{2}{8} = \frac{2}{32}.
  • Thus, \frac{2}{32} probability of getting $50.

  • The probability of spinning 2 and a consonant is: \frac{1}{4} \times \frac{6}{8} = \frac{6}{32}
  • Thus, \frac{6}{32} probability of getting $25.

  • The probability of spinning 1 and a vowel is: \frac{3}{4} \times \frac{2}{8} = \frac{6}{32}.
  • Thus, \frac{6}{32} probability of getting $5.

  • 32 - (6 + 6 + 2) = 18, thus, \frac{18}{32} probability of earning $0.

The expected value is:

E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)

E = \frac{100 + 150 + 30}{32}

E = \frac{280}{32}

E = 8.75

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

8 0
2 years ago
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