Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
Answer: Plug in each of the ordered pairs into the equation to obtain the answer
Step-by-step explanation:
I assume you're asking about #19?
24 students total, teacher gives each PAIR of students 3 magnets.
There are 12 pairs of students, then, and the teacher has given 9 of those pairs their 3 magnets, leaving 3 pairs without their magnets.
3 pairs remaining to get 3 magnets (3*3=9)
The teacher needs 9 more magnets.
Answer:
Step-by-step explanation:
Parallel lines have the same slope.
Point-slope equation for line of slope 3 that passes through (1,-2):
y+2 = 3(x-1)