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2 years ago

How many numbers are 3 units from 0 on the real numbers line

Mathematics

2 answers:

Fofino [41]2 years ago

7 0

Answer:

2 right? 3 and -3?

Step-by-step explanation:

Troyanec [42]2 years ago

7 0

Answer:

2 numbers

Step-by-step explanation:

● -3 and 3 are both 3 units apart from 0

We can find it with calculations.

You are moving in a real numbers line.

You can move either right or left.

You starting point is 0.

When you go 3 units to the right then you are adding 3.

● 3+0 = 3

When you go back 3 units starting from 0 then you are substracting 3.

● 0-3 = -3

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Two linear are parallel if and only if their slopes are

grin007 [14]

Their slopes must be the same, but with different y-intercepts.

Here is an example: 2x + 1 and 2x + 4 are parallel lines.

8 0

2 years ago

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

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Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = $\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}$

$\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in$

Therefore, the length of the shadow is 124.7 in

5 0

2 years ago

Twelve dogs and cats receive 77 biscuits.

Andrews [41]

Answer:

6 dogs are there who ate the biscuits

8 0

2 years ago

Read 2 more answers

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

velikii [3]

This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
= 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.

4 0

3 years ago

Read 2 more answers

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

2 years ago