Answer:
11) Here given Function,
And, 
For f(x) = g(x)
When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,
And, The height gain by the rocket B in x seconds,
If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ 
⇒
⇒ 
⇒ 
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular to each other, so angles (2) and (3) are equal 90°.
To find angle (1), we can use the sum of internal angles in the left triangle with angles 52°, (1), and (2):
The diagonals of a rhombus bisects the angles, to the angle next to the angle of 52° is also 52°, then, in the upper triangle, we have:
Answer:
4 inches should be turned up on both sides.
Step-by-step explanation:
In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.
100 * x * (16 - 2x) = MAX
100 * (16x - 2x^2) = MAX
-200x^2 + 1600x = MAX
Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).
x = -b/2a
x = -1600/2(-200)
x = -1600/-400
x = 4
Answer:
Option E
Step-by-step explanation:
The standard equation of circle is:- (x-h)² + (y-k)² = r²
where (h,k) is center point and r is radius
If radius r is decreased then also (h,k) remains same, only r² increases
Equation given in question is x² + y² + Cx + Dx + E=0
So, C and D will remain same but E will increase
