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3 years ago

Which numbers are a distance of 5 units from 8 on a number line?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer: $3$ and $13$

Step-by-step explanation:

Observe the number line attached.

In order to find which numbers are a distance of $5\ units$ from $8$ on a number line, you can follow these steps:

First step: You must locate the number $8$ on the number line.

Second step: Move $5\ units$ to the left. Notice that the distance between the numbers $3$ and $8$ is $5\ units$

Third step: Move $5\ units$ to the right. Observe that the distance between the numbers $13$ and $8$ is $5\ units$

You can also verify this through the following addition and subtraction:

$8-5=3\\\\\\8+5=13$

Therefore, the numbers that are a distance of $5\ units$ from $8$ on a number line, are:

$3$ and $13$

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I need to know if this H(3,2),J(4,1),K(-2,-4),M(-1,-5) is parallel perpendicular or neither I need to show my work and write my

Shkiper50 [21]

Answer:

Step-by-step explanation:

H(3,2) & J(4, 1)

$Slope = \dfrac{y_{2} -y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{1-2}{4-3}\\\\\\=\dfrac{-1}{1}\\\\= -1$

K(-2,-4) & M(-1 , -5)

$Slope =\dfrac{-5-[-4]}{-1-[-2]}\\\\=\dfrac{-5+4}{-1+2}\\\\= \dfrac{-1}{1}\\\\\\= -1$

Line HJ and KM have same slopes. So, they are parallel

6 0

3 years ago

Deanna gets 3 problems incorrect on her math quiz and scores 85%. How many questions were on the quiz?

katrin2010 [14]

Answer:

There were 20 questions on the quiz

Step-by-step explanation:

In this question, we are concerned with knowing the number of questions on a quiz, given that Deana had a certain percentage after scoring an amount of marks.

We proceed as follows;

Let the number of questions on the quiz be X.

Now, she got 85% by making 3 incorrect choices. This means the percentage of questions she got incorrectly would be 100-85 = 15%

what we are saying is that it is just 15% of her questions that were wrong.

This mathematically;

15% of x = 3

15/100 * x = 3

15x = 3 * 100

15x = 300

x = 300/15

x = 20

5 0

3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(10,1) and K(4,7)

zvonat [6]

Hey.
The answer is (7,4).
The change of x is -6. Divide that by two(=-3) and add it to the first x-coord and you get 7.
Do the same for your y-value(change =+6/2= +3) and you'll get 4.

6 0

3 years ago

A trapezoid has been rotated 180°. Is it true

lina2011 [118]

Answer:

True.

Step-by-step explanation:

Rotations do not change the size of a shape. Dilations cause changes in the size of a shape.

8 0

3 years ago

A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =

podryga [215]

Answer:

Area of the counter top is $5.02\ m^2$ .

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = $18\times 0.305 = 5.49\ m$

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = $3\times 0.305 = 0.915\ m$

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = $5.49\times 0.915 = 5.0233\ m^2$

Rounding up to 2 decimals we get;

Area of the counter top = $5.02\ m^2$

Hence Area of the counter top is $5.02\ m^2$ .

3 0

3 years ago