Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
The answer is A because if you multiply you’ll get 70°
Answer:
<h2>The answer is 49</h2>
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
To find the 10th term of the sequence first find the first term and the common difference
From the question
a = 4
d = 9 - 4 = 5 or 14 - 5 = 9
Since we are finding the 10th term
n = 10
Substitute the values into the above formula
That's
A(10) = 4 +(10-1)5
= 4 + 9(5)
= 4 + 45
We have the final answer as
<h3>A(10) = 49</h3>
Hope this helps you
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
Answer: d
Step-by-step explanation: