Answer:
The least value of n is 17.
Step-by-step explanation:
First term (a) = 46
Second term (a + d) = 43
Third term (a + 2d) = 40
Common difference (d) = second term - first term = 43 - 46 = -3
Tn (nth term) = a + (n - 1)d
a = 46, d = -3
Tn = 46 + (n - 1)-3 = 46 + (-3n + 3) = 46 - 3n + 3 = 49 - 3n
For Tn to be negative, the product of 3 and n must be greater than 49.
Therefore, the least value of n is 17
Answer:
The correct option is C : x² + (y +3)² = 9 .
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
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Note that I have attached the graph of the same .
Here we need to convert 2. 1 cm to mm .
And for that we will use the following conversion .
1cm = 10 mm
So for 2.1 cm, we will multiply 2.1 and 10 to convert it to mm. Therefore 2.1 cm = 2.1* 10mm = 21mm
And that's the required answer .
Answer:
2x + y = -10
Step-by-step explanation:
y + 2 = -2(x + 4)
y + 2 = -2x - 8
Add 2x to both sides:-
2x + y + 2 = -8
subtract 2 from both sides:-
2x + y = -10 (answer)