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kipiarov [429]
3 years ago
8

11x - 4 = 5x + 20 How do I do this question/what is the answer?

Mathematics
2 answers:
pashok25 [27]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, subtract 5x and add 4 to both sides.

11x (-5x) - 4 (+4) = 5x (-5x) + 20 (+ 4)

11x - 5x = 20 + 4

Combine like terms. Simplify:

(11x - 5x) = (20 + 4)

6x = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides.

(6x)/6 = (24)/6

x = 24/6

x = 4

x = 4 is your answer.

~

viva [34]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

11x-4=5x+20

4x=16

x=4

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For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

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3 years ago
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Answer:

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Find the probability of picking 4 consonant and 1 vowels when 5 letters are picked (without replacement) from a set of alphabet
Ganezh [65]

The required probability is 0.45

We have total 26 letters in english, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

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In the fourth selection the probability is 19/23

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So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

Learn more about probability here :

brainly.com/question/251701

#SPJ10

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Find cos θ if sin θ = -12/13 and tan θ &gt; 0
Anarel [89]
SinФ=-12/13  
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cosФ=-5/13


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