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Alexus [3.1K]
3 years ago
11

*Will mark brainliest*

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Nimfa-mama [501]3 years ago
5 0

Answer:

b is the best answer

Step-by-step explanation:

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I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the for
Softa [21]

Answer:

  18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

  A = 1/2bh

  A = 1/2(6)(6) = 18 . . . . square units

_____

<em>Alternate solution</em>

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

  4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

  d = |4x -3y -7|/√(4^2 +3^2)

  d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

  A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

5 0
2 years ago
Read 2 more answers
-
melamori03 [73]

Answer:

In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.

In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal. If the graph is undirected, the adjacency matrix is symmetric. The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory.

The adjacency matrix should be distinguished from the incidence matrix for a graph, a different matrix representation whose elements indicate whether vertex–edge pairs are incident or not, and degree matrix which contains information about the degree of each vertex.

3 0
3 years ago
Marty bought 4 new books today. He plans to read 2 of these while on vacation. How many combinations of 2 books from the group o
MatroZZZ [7]
There are 6 different combinations of 2 books from the group of 4 that he could choose to do.

Let's say all of the books were letters.
Books a, b, c, and d.

Different combinations include:

ab, ac, ad, bc, bd, and cd.
5 0
4 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =
goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and  8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and  8x = 16  equations have equivalent solution  (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

4x-2y=6\hfill (1)

2x+y=5\hfill (2)

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

4x+2y=10\hfill (3)

Now adding the equations (1) and ( 3) we get

4x-2y=6

4x+2y=10

_______________

8x=16

x=\frac{16}{8}

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

4(2)-2y=6

8-2y=6

-2y=6-8

-2y=-2

y=\frac{-2}{-2}

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations  4x+2y=10\hfill (4) and 8x = 16

From 8x=16

x=\frac{16}{8}

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

y=\frac{2}{2}

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and  8x = 16 equations have equivalent solution  (2,1) is same as the solution of given linear system of equations </h3>
3 0
3 years ago
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represen
Harman [31]

Answer:

Ratio = \frac{2}{3}

Step-by-step explanation:

Given

See attachment

Required

Vertical length / Horizontal length

From the attachment, we have:

y = 4\ units --- the vertical length of the larger triangle

and

x = 6\ units --- the horizontal length of the larger triangle

So, the ratio is:

Ratio = \frac{y}{x}

Ratio = \frac{4\ units}{6\ units}

Ratio = \frac{4}{6}

Divide by 2

Ratio = \frac{2}{3}

4 0
3 years ago
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