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3 years ago

Find the length of the line segment whose endpoints are (-5,6) and (6,6)

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

Answer: 11 units

Step-by-step explanation:

Use the distance formula: $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$

$(x_{1}, y_{1})=(-5, 6)\\(x_{2}, y_{2})=(6, 6)\\\\\sqrt{(6-(-5)^{2}+(6-6)^{2}} =\sqrt{(11)^{2}+(0)^{2}} =\sqrt{121+0}=\sqrt{121}=11$

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2. Use the distributive property to write an expression that is equivalent to 12 + 4x.

fredd [130]

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

This is your expression.

Hope this helps! ;)

3 0

3 years ago

Read 2 more answers

Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflect

kirza4 [7]

Answer:

(1.75, 3)

Step-by-step explanation:

Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).

This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and the x coordinate changes sign, going to it's final destination (1,75, 3)

5 0

3 years ago

Read 2 more answers

What is the smallest number of degrees needed to rotate a regular pentagon around it's center onto itself ?

Leviafan [203]

The smallest degree that you can rotate a pentagon is 36 degrees

6 0

4 years ago

Can y’all help me with this question?

vichka [17]

Answer:

Step-by-step explanation:

the answer is 365,412

5 0

3 years ago

I got three answers for alot points ok this is the first question what is : 1/2 + 3/6 =

miv72 [106K]

Answer:

1. 1

2. 1/12

3. 3 1/6

Step-by-step explanation:

Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.

Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.

Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.

7 0

3 years ago