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2 years ago

Which is an equation of the line that passes through (2,-5) and (6, 3)?

Mathematics

1 answer:

Stolb23 [73]2 years ago

8 0

Answer:

Step-by-step explanation:

Your answer is D trust me

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A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

2 years ago

Mark drew two triangles and 8 arrows as part of a set of 13 shapes. The only other type of shape in the set is a circle. What fr

luda_lava [24]

Answer:

3/13

Step-by-step explanation:

First...

What we know

1. There is a set of 13 shapes.

2. With 2 triangles, 8 arrows, and circles.

Next...

Take the number of triangles and arrows and add them up.

2 + 8 = 10

Finally...

Convert it into the fraction 10/13 and subtract it by the total 13/13.

This results 3/13.

3 0

2 years ago

HELP I ONLY HAVE 2 MINUTES UNTIL MY TESTS ARE OVER -8 ≤ -1 True False

babunello [35]

Answer:

the answer is true

Step-by-step explanation:

the more you go negative the less it is so that's why -1 is greater than -8

6 0

3 years ago

Which measure of center best represents the data? 8,8,7,8,8,8,1,8,8

ehidna [41]

Answer:

Step-by-step explanation:

The median is 8 since 8 is the most common number

4 0

2 years ago

Read 2 more answers

Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i

zhuklara [117]

I'll go out on a limb and suppose you're given the matrix

$\mathbf A=\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}$

and you're asked to find the determinant of $\mathbf B$ , where

$\mathbf B=\begin{bmatrix}a&b&c\\-4d&-4e&-4f\\a+g&b+h&c+i\end{bmatrix}$

and given that $\det\mathbf A=2$ .

There are two properties of the determinant that come into play here:

(1) Whenever a single row/column is scaled by a constant $k$ , then the determinant of the matrix is scaled by that same constant;

(2) Adding/subtracting rows does not change the value of the determinant.

Taken together, we have that

$\det\mathbf B=-4\det\mathbf A=-8$

5 0

3 years ago