The correct answer for the question shown above is the second option (Option b), and the option cwhich is:
b) x = -1/16y^2
c) y=-1/16x^2
The explanation is shown below:
The focus of a parabola is (h,k+1/4a), then, you have:
h,k= (0,0)
1/4a=1/4(-1/16)
Then, you obtain:
1/4a=-4
Therefore, the focus of the equation of the parabola x = -1/16y^2 and the parabola y=-1/16x^2 <span>is F(0-4)
</span>
So, as you can see, the correct answer is the options mentioned before, the option b and the option c.
Answer:
1. D) -4/3 or 4/3
2. A) -6 or 8
Step-by-step explanation:
The linear equation is Y=2/3x-2
Answer:
9 and 18
Step-by-step explanation:
The numbers are in the ratio 1 : 2, so the ratio of the smaller to the total is ...
1 : (1+2) = 1 : 3
1/3 of 27 is 9, the value of the smaller number. The larger number is double this, so is 18.
The numbers are 9 and 18.
Answer: Angle the ladder makes with the wall is 68.19°
Step-by-step explanation:
Since we have given that
Length of a ladder = 15 feet
Distance between the foot of the ladder from the wall = 6 feet
We need to find the angle of elevation:
Since we will use "Tangent" as we have given Perpendicular and Base:
![\tan\theta=\frac{Perpendicular}{Base}=\frac{15}{6}=2.5\\\\\theta=\tan^{-1}(2.5)\\\\\theta=68.19^\circ](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cfrac%7BPerpendicular%7D%7BBase%7D%3D%5Cfrac%7B15%7D%7B6%7D%3D2.5%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%282.5%29%5C%5C%5C%5C%5Ctheta%3D68.19%5E%5Ccirc)
Hence, Angle of depression of the ladder with the wall is 68.19° as we know that Angle of elevation = Angle of depression by alternate interior angle.