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Serggg [28]
2 years ago
15

A student said that x = 4 was not a solution to the question 3(x -6) = -8

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
6 0

Answer:

Step-by-step explanation:

3 (4 -6) = -8 is correct.  The next step is to combine 4 and -6, obtaining

3(-2)

and this 3(-2) should equal -6, which is not the same as -8.

3(4 - 6) = 12 - 18, which differs from the student's solution.  This is the reason for the wrong answer.

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Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t
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If you want to make it easier, just skip it and dilate by 3 instead of by 1.5 and then by 2. The only reason I can instantly assume it's D, it's because on vertex P, (3, -4) is (9,-12), the only answer with +9.
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Pls Help. What are the coordinates of the y-intercept of the graph?
sergey [27]

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Step-by-step explanation:

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If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
vova2212 [387]

The researchers could utilize a probability sample.

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8 0
2 years ago
A piece of carpet is 8 feet wide and 12 feet long the carpet needs to be reduced by a scale farctor so that the reduced carpet i
Murljashka [212]

Answer: 6 ft ^  2

Step-by-step explanation:

We have been given that a piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide.

First of all, let us find the scale factor by which the width of the carpet has been reduced.

<em>Original width of carpet x scale factor = 12</em>

<em>Dividing both sides by 8 feet we will get:</em>

<u><em>8 feet x Scale factor/8 ft = 2/8 ft</em></u>

<em>Scale Factor = 1/4 </em>

<em>Let us find the length of carpet after reduced by a scale factor of 1/4. </em>

Length of the carpet after reducing a factor of 1/4=12 ft x 1/4

Length of the carpet after reducing a factor of 1/4=3 ft.

Now we will multiply the reduced length and width of the carpet to find the area of reduced carpet.

Area of reduced carpet = 2 ft x 3 ft

Area of reduced carpet = 6 ft

Therefore, the area of reduced carpet is 6 square feet.

5 0
3 years ago
Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and
Step2247 [10]

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

OA = 2x + 9y

OB = 4x + 8y

CD = 4x - 2y

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

AB = (c - a)x + (d - b)y

Where:

OA = ax + by ====> OA = 2x + 9y

OB = cx + dy ====> OB = 4x + 8y

This implies that:

a =2      b = 9     c = 4   d = 8  

So:

AB = (c - a)x + (d - b)y

AB = (4 - 2)x + (8 - 9)y

AB = 2x  -y

So, we have:

AB = 2x  -y

CD = 4x - 2y

Calculate the slope (m) of AB\ and\ CD

m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}

For AB

m_1 = \frac{-1}{2}

m_1 = -\frac{1}{2}

For CD

m_2 = \frac{-2}{4}

m_2 = \frac{-1}{2}

m_2 = -\frac{1}{2}

By comparison:

m_1 = m_2 = -\frac{1}{2}

This implies that both lines have the same slope

8 0
3 years ago
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