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Kobotan [32]
3 years ago
8

Find the mistake in the following : 3 x ( 4 + 2 ) = 12 + 2

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Answer: The mistake is improper use of distribution property.

Step-by-step explanation:

It is given that 3\times (4+2)=12+2.

We need to find the mistake.

The given expression is

3\times (4+2)

Using distribution property, we get

3\times (4)+3\times(2)

12+6

So, 3\times (4+2)=12+6.

In the given calculation the 3 is not distributed properly because 3 is not multiplied with 2.

Therefore, the mistake is improper use of distribution property.

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Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

Step-by-step explanation:

Given the points

  • (-4,1)
  • (4,3)

Finding the slope between the points (-4,1) and (4,3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)

m=\frac{3-1}{4-\left(-4\right)}

Refine

m=\frac{1}{4}

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

in our case,

  • m = 1/4
  • (x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-\left(-4\right)\right)

y-1=\frac{1}{4}\left(x+4\right)

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

5 0
3 years ago
The wheels on the golf cart on Fortnite are 12 feet in diameter how many feet around is one of the tires
emmainna [20.7K]

Answer:

37.7 feet

Step-by-step explanation:

circumference=πd

3.14x12=

37.7

5 0
3 years ago
Read 2 more answers
Which linear equation has no solution? 5x+12=5x−7
soldier1979 [14.2K]

Answer:

Trying to solve this leads to an absurdity, so No Solution.

Step-by-step explanation:

5x+12=5x−7

Lets attempt to solve:

Subtract 5x from both sides

5x - 5x + 12 = 5x - 5x - 7

0 + 12 = 0 - 7

12 = -7

This is absurd so there is no solution.

6 0
3 years ago
N+ 12 = -24<br><br> Help please
omeli [17]

Answer:

n = -36

Step-by-step explanation:

The answer is -36 because:

1) We first have to subtract -24 and 12 to find n

-24 - 12 = -36

This is because whenever there are two negative signs, multiply it.

Negative x Negative = Positive

We have to do, 24 + 12 which is 36. Finally, we just put the greater number's sign to the answer. 24 is greater than 12, therefore, we put a negative sign before 36.

Hope this helps!

7 0
3 years ago
X/-5+3=-2 <br> What is it step by step
son4ous [18]

Answer:

Step-by-step explanation:

X/-5+3=-2

Collecting like terms

x/-5 = -2 - 3

x/-5 = -5

Multiply each term by -5

-5(x/-5) = -5(-5)

x = 25

7 0
3 years ago
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