Answer:
D has the same y-intercept
Step-by-step explanation:
<em>y-intercept of the function in the question is -3.</em>
<u>A) 2/3 x + 3y = -3</u>
<em>Make y the subject</em>
3y = -2/3x-3
y = -2/9-1
<em>The y-intercept is -1; it is not the same.</em>
<u>B) -2/3 x + 3y = 6</u>
<em>Make y the subject</em>
3y = 2/3x + 6
y = 2/9x + 2
<em>The y-intercept is 2; it is not the same.</em>
<u>C) x + 4y = 12</u>
<em>Make y the subject</em>
4y = -x + 12
y = -x + 3
<em>The y-intercept is +3; it is not the same.</em>
D) 6x - 7y = 21
Make y the subject
7y = 6x - 21
y = 6/7x - 3
The y-intercept is -3; it is the same.
Therefore, option D has the same y-intercept as the function given in the question.
The answer is <span>angle addition postulate
proof
</span><span>mTRV + mTRS = 180°, both angles are called supplementary angles, their sum is 180°</span>
<em>Note:</em>
<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>
Question 2
Answer:
The equation in the standard form is:
Please also check the attached graph.
Step-by-step explanation:
We know that the equation in the standard form is
Ax + By = C
where x and y are variables and A, B and C are constants
Given
To determine
- Write the equation in the standard form
We know that the slope-intercept form of the line equation
where
In our case:
substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation
y = mx+b
y = -2/3x + (-4)
y = -2/3x - 4
Writing the equation in the standard form
2/3x + y = -4
Therefore, the equation in the standard form is:
Please also check the attached graph.
The difference between the two salaries is $30,000
50,000
-20,000
__________
30,000
Answer:
10
Step-by-step explanation:
the sudents were put in 10 equal groups
10x6=60