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natta225 [31]
3 years ago
14

3x + 6y = 4y - 4

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept  

3x + 6y = 4y  - 4

      -4y    -4y

3x + 2y = -4

-3x            -3x

  2y = -3x - 4

  y = -3/2x - 2  

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2  is   2/3

Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

  7 = 2/3(-10) + b

 7 = -20/ 3 + b  

+ 20/3   + 20/3

  b =  20/3 + 21/3 = 41/3  

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

   

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A) 121 <br> B) 102<br> C) 141 <br> D) 115
patriot [66]

Answer:

121

Step-by-step explanation:

cause if its on the oppsite side its going to be the same number

8 0
3 years ago
Based on the timeline, which of the following statements is true?​
Morgarella [4.7K]

Answer:

<h2><u>Answer B. </u></h2>

Step-by-step explanation:

If you check each answer, only B works since it is the only one that would place everything correctly on the timeline

5 0
3 years ago
Identify the vertex of y = x2 + 4x + 5.
Xelga [282]
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5

The first three terms forms a perfect square trinomial.

y = {(x + 2})^{2} - 4 + 5

The vertex form is

y = {(x + 2})^{2} + 1


This equation is in the form;

y = a{(x -h})^{2} + k


where (h,k)=(-2,1) is the vertex.
4 0
3 years ago
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Write the inverse of the conditional statement.
Maslowich
The answer is a I'm pretty sure
7 0
3 years ago
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
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