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3 years ago

Where is the value of X in the equation

Mathematics

2 answers:

malfutka [58]3 years ago

7 0

Answer:

x=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−6x=5x+22

Step 1: Subtract 5x from both sides.

−6x−5x=5x+22−5x

−11x=22

Step 2: Divide both sides by -11.

−11x

−11

x=−2

liraira [26]3 years ago

3 0

Answer:

x = -2

Step-by-step explanation:

-6x = 5x + 22

-6x - 5x = 5x - 5x + 22 (subtract 5x from both sides)

-11x = 22 (simplify)

-11x/-11 = 22/-11 (divide both sides by -11)

x = -2

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Is 2 PLUS 2 the same answer as 2 TIMES 2? If so, how and why?

Nutka1998 [239]

Yes! 2+2=4, and 2*2=4.
Both are equivalent but have different mathematical operations.

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G.O has 4/5 gallons he spillted them into 4 cups how much water is in each cup?

Sergio039 [100]

Answer:

1/5 gallon

Step-by-step explanation:

4/5 divided into 4 is the same that 4/5 multiplied by 1/4

4/5* 1/4 = 4/20 = 1/5

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3 years ago

The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

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3 years ago

Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__

mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

-3 -3 ← subtract 3 on both sides of the equation

3x = -357

÷3 ÷3 ← divide both sides by 3

X = -119

X ⇒ first integer = -119

X + 1 ⇒ second integer = -120

X + 2 ⇒ third integer = -121

Therefore, our three consecutive integers are -119, -120, and -121.

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3 years ago

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If x = 10, which lines are parallel? Check all that apply.

natita [175]

Answer:

b||c; c||d; b||d

Step-by-step explanation:

Substituting 10 for x, in the angle beside b we have

7(10)-5 = 70-5 = 65

In the angle beside c we have

10(10)+15 = 100+15 = 115

In the angle beside d we have

12(10)-5 = 120-5 = 115

In the angle beside we have

8(10)-25 = 80-25 = 55

The angle beside c has a vertical angle on the other side of c. This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal. These two angles are supplementary; this is because 65+115 = 180. Since these angles are supplementary, this means that b||c.

The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal. These two angles are congruent; this means that c||d.

Since b||c and c||d, by the transitive property, b||d.

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3 years ago

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