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3 years ago

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