The answer is D) Marty gets ten dollars for his allowance and then spends ten dollars at the movies
because $10-$10=0
Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. When the slopes are multiplied like 3 and -1/3 is -1.
This means the line y = -6x + 7 which has slope -6 will have a perpendicular line that has slope 1/6.
Any equation which has slope 1/6 is a solution.
Example 1/6x - 1 or 1/6x + 7 or etc.
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
Answer:
Student can obtain 15 marks by attempting 8 questions.
Step-by-step explanation:
This question is incomplete; complete question is here.
A student taking a test consisting of 10 questions is told that each questions after the first is worth 2 marks more than the preceding question. If the third question of the test is worth 5 marks.What is the maximum score that the student can obtain by attempting 8 questions?
A students when attempts the questions the sequence formed by the scores he gets will be in the form of a, (a + 2), (a + 4), (a + 6)........
Which will be an arithmetic sequence with a common difference = 2
We know explicit formula of an arithmetic sequence is

Where
= First term of the sequence
a = first term
n = number of term
d = common difference
It is given that 3rd term of this sequence is 5.

a = 5 - 4 = 1
Explicit formula for the sequence will be 

Now if the student attempts 8 questions then from the explicit formula


Therefore, student can obtain 15 marks by attempting 8 questions.