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Margarita [4]
2 years ago
7

Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 4 and 3 comma 0 y = −three f

ourthsx + 4 y = −four thirdsx + 4 y = three fourthsx − 4 y = 4 thirdsx − 4
Mathematics
2 answers:
belka [17]2 years ago
8 0
(0,4),(3,0)
slope = (0 - 4) / (3 - 0) = -4/3

y = mx + b
slope(m) = -4/3
ur y int is when x = 0....so it is 4
and in y = mx + b form, the slope is in the m position and the y int is in the b position
so ur equation is : y = -4/3x + 4 <==
MrMuchimi2 years ago
7 0

Answer:

y = -4/3x + 4

Step-by-step explanation:

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Match the following rational expressions to their rewritten forms.
Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}

And the rewritten forms:

(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}

So, correct option is 3.

(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}

So, correct option is 1.

(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}

So, correct option is 2.

(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}

So, correct option is 4.

The answer is also attached in the answer area.

7 0
2 years ago
Can someone please help me I do not understand
Readme [11.4K]

The perimeter of a figure is the distance all the way around the figure.

Area is how many units takes up the figure.

Example of perimeter: (attached)

Example of area: (attached, with squares in square)

In this case, the <em>area depends on the perimeter</em>. Count two sides of the rectangle. (Horizontal, and vertically.) Then write what the perimeter is for that. <u>Multiply</u> the two numbers and that will be your area.

Vertically, it is 11. Horizontally, it is 9. I would like you to try to see what to do next, if not, comment!

I hope this helped!

8 0
2 years ago
What are Two equations that model this relationship 5:25
JulijaS [17]

Answer:

5/25 and 5 to 25

Step-by-step explanation:

jssjskkdkddk

8 0
3 years ago
If y=3x+5 and z=x^2+2x-5, what is yz?
Hitman42 [59]
<h3>Answer:  3x^3 + 11x^2 - 5x - 25</h3>

Work Shown:

yz = y(x^2+2x-5)

yz = y(x^2) + y(2x) + y(-5)

yz = x^2( y ) + 2x( y ) - 5( y )

yz = x^2( 3x+5 ) + 2x( 3x+5 ) - 5( 3x+5 )

yz = x^2*3x + x^2*5 + 2x*3x + 2x*5 - 5*3x - 5*5

yz = 3x^3 + 5x^2 + 6x^2 + 10x - 15x - 25

yz = 3x^3 + 11x^2 - 5x - 25

6 0
1 year ago
Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,
Ugo [173]
<span>A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.</span>
5 0
3 years ago
Read 2 more answers
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