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SVETLANKA909090 [29]
3 years ago
11

Lets see who is smart lol

Mathematics
1 answer:
Simora [160]3 years ago
6 0

9514 1404 393

Answer:

  \square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Cross-multiplying gives ...

  2(y -5) = x -2

  2y -10 = x -2  . . . eliminate parentheses

  2y = x +8 . . . . . . . add 10; next, divide by 2

  \boxed{y=\dfrac{1}{2}x+4}

__

These equations match choices B and D.

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For the inverse variation equation xy=k, what is the constant of variation,k, when x = -3and y=-2
const2013 [10]

Answer:

6

Step-by-step explanation:

xy=k

Value of k ; when ; x = - 3 and y = - 2

Put x = - 3 and y = - 2 into the equation :

(-3)(-2) = k

-3 * - 2 = k

6 = k

The constant of variation k = 6

8 0
3 years ago
(-3*10^9)(1.27*10^-12) in scientific notation
katen-ka-za [31]
It would be = -3.81 * 10^-3
7 0
3 years ago
Answer the question math
Lerok [7]

Answer:

7y-10

Step-by-step explanation:

9y-\frac{1}{2}\left(4y+20\right)

To simplify this expression, first use the distributive property to distribute \frac{1}{2}.

9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)

Simplify.

9y+-2y+-10

Combine like terms, 9y and -2y.

7y-10

The simplification of 9y-\frac{1}{2}(4y+20) is 7y-10.

I hope this helps ^^

Good luck

7 0
3 years ago
Combine like terms to simplify the expression: 7x + 3y - 2 + 6x + 1 + y^2
a_sh-v [17]

The correct answer is B because after you simplifiy the expression, you would  get that answer:

7x + 3y - 2 + 6x + 1 + y^2

combine all the like terms to one side first

7x + 6x - 2 + 1 + y^2

then simplify

13x - 1 + y^2 or  y^2 + 3y + 13x - 1

8 0
3 years ago
Find the area A of the sector of a circle of radius 50 feet formed by the central angle
kozerog [31]

Answer:

A=6250\ feet^2

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, \theta=5\ radian

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2

So, the area f the sector of the circle is 6250\ feet^2.

7 0
3 years ago
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