I’m not sure I only answer these for the points :)
sorry if this is wrong but i think the answer is 21
<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.
Answer:
( x )² + ( y - 3 )² = 16
Step-by-step explanation:
The general format for circular equations is ( x - a )² + ( y - b )² = r²
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).