All categories

2 years ago

The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

You might be interested in

8 x 10^-3 is how many times as great as 4 x 10^-6

mamaluj [8]

For this case we can rewrite the expressions as:

$3 * 10 ^ {- 3} = 0.003$

That is, we run the decimal three times to the left.

$4 * 10 ^ {- 6} = 0.000004$

That is, we run the decimal six times to the left.

So:

$0.003-0.000004 = 0.002996$

So, we have that $3 * 10 ^ {- 3}$ is 0.002996 times bigger than $4 * 10 ^ {- 6}$

Answer:

$3 * 10 ^ {- 3}$ is 0.002996 times bigger than $4 * 10 ^ {- 6}$

7 0

3 years ago

Read 2 more answers

A) solve the inequalities -6<4x<8

Komok [63]

A itching I thing sorry am just not sure Keyshawn

8 0

2 years ago

HELP PLEASE I HAVE A TIME LIMIT

kykrilka [37]

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

<h3>What is the Euler's Formula?</h3>

The Euler's formula is given as, F + V = E + 2, where:

F = number of faces (number of regions)
V = vertices
E = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

F = 7
V = 10
E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

brainly.com/question/1178790

5 0

2 years ago

(Number 5)help plzzz

EleoNora [17]

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

$\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}$

First, simplify √8. This is the same as:

$\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2$

Therefore, our equation is now:

$2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}$

Combine like terms on the left:

$3\sqrt2=3\cdot 2^\frac{1}{2}}$

The square root of something is the same as taking that number to the one-half power. Thus:

$3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}$

Rewrite:

$3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}$

And we're done!

6 0

2 years ago

Which transformation can be used to map one triangle onto the other select two options

Andrej [43]

Answer:

Reflection only and rotation, and then translation.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers