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zloy xaker [14]
3 years ago
9

Please help!!!!!!!!!!!!!!!

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Step-by-step explanation:

\triangle{ABC} is similar to \triangle{ADE} so we can write the ratio

\dfrac{x}{6+4} = \dfrac{2}{6}

Solving for x, we get

x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}

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How to rank linear functions
Maurinko [17]

In linear algebra, the rank of a matrix

A

A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of

A

A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by

A

A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.

The rank is commonly denoted by

rank

⁡

(

A

)

{\displaystyle \operatorname {rank} (A)} or

rk

⁡

(

A

)

{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in

rank

⁡

A

{\displaystyle \operatorname {rank} A}.

4 0
3 years ago
Use the Binomial Theorem and Pascal’s Triangle to write each binomial expansion.
tensa zangetsu [6.8K]

Answer

x^3-15x^2+75x-125

5 0
3 years ago
Given that x = 7, write an equation that contains two different equivalent expressions each including at least one variable (x)
inna [77]

Well here are two equivalent different expressions of my making that you could use for this question.

f(x) = 2x - 7
g(x) = 3x - 28 / 2

When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.

3 0
3 years ago
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I
Firdavs [7]

The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

<h3>How to analyze quadratic equations</h3>

In this question we have a graph of a <em>quadratic</em> equation translated to another place of a <em>Cartesian</em> plane, whose form coincides with the <em>vertex</em> form of the equation of the parabola, whose form is:

g(x) = C · (x - h)² - k     (1)

Where:

  • (h, k) - Vertex coordinates
  • C - Vertex constant

By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.

x = 2

g(2) = (2 - 5)² + 1

g(2) = 10

x = 8

g(8) = (8 - 5)² + 1

g(8) = 10

The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

To learn more on parabolae: brainly.com/question/21685473

#SPJ1

7 0
2 years ago
Using only whole numbers, how can you draw three rectangles with perimeter of 12 units
Assoli18 [71]
Perimeter means the sides add up to 12. 
Rectangles have two pairs of equal sides. 

2(one side) + 2(another side) = 12
2 (one side + another side) = 12 
(one side + another side) = 6 

To draw a rectangle with a perimeter of 12 units, the two adjacent sides must add up to 6. 
1 + 5
2 + 4 
3 + 3

3 0
3 years ago
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