Factor the polynomial by its greatest common monomial factor.

A triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle

yan [13]

The perimeter of the triangle is 15.4 units.

Step-by-step explanation:

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

The distance formula is given by :

⇒ $\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

Distance of AB :

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ $\sqrt{(4+1)^{2}+(2-5)^{2} }$

⇒ $\sqrt{5^{2}+-3^{2} }$

⇒ $\sqrt{25+9}$

⇒ $\sqrt{34}$

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

Distance of BC :

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ $\sqrt{(0-4)^{2}+(0-2)^{2} }$

⇒ $\sqrt{16+4 }$

⇒ $\sqrt{20}$

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

Distance of CA :

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ $\sqrt{(-1-0)^{2}+(5-0)^{2} }$

⇒ $\sqrt{1+25}$

⇒ $\sqrt{26}$

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.

4 0

3 years ago

1. Find the probability of rolling a sum less than 4 or a

-Dominant- [34]

<h3>Answer: 13/36</h3>

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Explanation:

Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.

Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8

outcome = 1+1 = 2
outcome = 1+2 = 3
outcome = 2+1 = 3
outcome = 3+6 = 9
outcome = 4+5 = 9
outcome = 5+4 = 9
outcome = 6+3 = 9
outcome = 4+6 = 10
outcome = 5+5 = 10
outcome = 6+4 = 10
outcome = 5+6 = 11
outcome = 6+5 = 11
outcome = 6+6 = 12

These 13 results are shown in green boxes in the diagram.

Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36

13/36 = 0.3611 = 36.11% approximately

5 0

3 years ago

By nine weeks the fetus May do which of the following

Levart [38]

Answer:

At 9 weeks pregnant, your baby moves from the embryonic stage to the fetal stage. There is continued rapid growth with huge developmental strides. They are now around the size of a peanut.

Step-by-step explanation:

You can just find this information on google

4 0

3 years ago

Pls help 50 points and brainliest!!!!

icang [17]

Step-by-step explanation:

option (B) the second option

line DC is the line that extends in both directions infinitely..

Good luck ✅.

6 0

3 years ago

Read 2 more answers

What if information do you know about interior and exterior angles?

Volgvan

Answer:

Remember the interior and exterior angle add up to 180°.

8 0

2 years ago