Answer:
x=7
Step-by-step explanation:
The Answer is A
Explanation:
The standard form equation for an ellipse is:
(x - h)² / a² + (y - k)² / b² = 1
So looking at the picture above you can see that the center of the ellipse is at the origin which is (0;0) making both h and k zero.
It is then observed that the x-intercepts are at 12 meaning a=12 and y- intercepts are at approximately square root of 95 which is 9.746... which are 'k'
So you can conclude by saying that:
x²/12² + y²/(sqrt of 95)² = 1
then giving you the answer of A which is:
x²/144 + y²/95 = 1
Call the smaller of the two odds = n
Call the next number in the sequence = n + 2
n*(n +2) = 782 Remove the brackets.
n^2 + 2n = 782 Subract 782 from both sides.
n^2 + 2n - 782 = 0 We are going to have to factor this.
Discussion
This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.
For example, you could use 783, (which factors) instead of 782 .
Solve
n^2 + 2n - 783 = 0
(n + 29)(x - 27) = 0
<u>Solution One</u>
n - 27 = 0
n = 27
The two odd consecutive integers are 27 and 29.
<u>Solution Two</u>
n + 29 = 0
n = - 29
The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.
Answer:
Below.
Step-by-step explanation:
These are perpendicular line which intersect at (-4, -9).
Vertical line is x = -4.
Horizontal lone is y = -9.
The domain: D={-3;-2;-1; 1}
f(x) = -x + 4
subtitute
f(-3) = -(-3) + 4 = 3 + 4 = 7
f(-2) = -(-2) + 4 = 2 + 4 = 6
f(-1) = -(-1) + 4 = 1 + 4 = 5
f(1) = -1 + 4 = 3
Answer: The range: {3; 5; 6; 7}
