Answer:
15. y -13 = -2(x +7)
16. y -6 = (-3/4)(x +4)
17. y +11 = 4(x +5)
18. y -8 = (-5/3)(x +6)
Step-by-step explanation:
It looks to me like you have the right idea in each case, but have made mistakes with signs or parentheses. Neatness and attention to detail count for a lot.
__
You obviously know that the point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
In problems 15 and 16, the given slopes are negative. Your equations seem to have missed that fact.
15. m = -2, (h, k) = (-7, 13). y -13 = -2(x +7)
__
16. m = -3/4, (h, k) = (-4, 6). y -6 = (-3/4)(x +4)
_____
It is clear you know that slope is computed as ...
m = (y2 -y1)/(x2 -x1)
__
17. m = (1 -(-11))/(-2-(-5)) = 12/3 = 4; (h, k) = (-5, -11). y +11 = 4(x +5)
__
18. m = (-7-8)/(3-(-6)) = -15/9 = -5/3; (h, k) = (-6, 8). y -8 = (-5/3)(x +6)
Sudan is a member of the United Nations, the African Union, the Arab League, the Organisation of Islamic Cooperation and the Non-Aligned Movement, as well as an observer in the World Trade Organization. The National Assembly regulates the politics of Sudan. And the legal system in the country is based on Islamic law. The official name of Sudan is the Republic of the Sudan. The name sudan translates to the land of the blacks in Arabic. Sudan was once the largest and the most geographically diverse state in South Africa but it was split into two countries. Now it’s the 3rd
Equation B.
The average of the sum of the existing 3 scores plus the score of the new test should equal 85.
To solve this, multiply both sides by 4 and subtract 256. The student needs an 84 in order to have an average of 85.
Answer:
(1, 4 )
Step-by-step explanation:
- 9x + 4y = 7 → (1)
- 2x - 4y = - 18 → 2)
add (1) and (2) term by term to eliminate y
- 11x + 0 = - 11
- 11x = - 11 ( divide both sides by - 11 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (1)
- 9(1) + 4y = 7
- 9 + 4y = 7 ( add 9 to both sides )
4y = 16 ( divide both sides by 4 )
y = 4
solution is (1, 4 )
