<u>Answer:</u>
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
<u>Step-by-step explanation:</u>
We are given the following two expressions:
![3x^2-4y^2=25](https://tex.z-dn.net/?f=3x%5E2-4y%5E2%3D25)
and
![-6x^2-2y^2=11](https://tex.z-dn.net/?f=-6x%5E2-2y%5E2%3D11)
Now if we look at the option D)
and
, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.
![6x^2 - 8y^2 = 50\\\\2(3x^2-4y^2) = 50\\\\3x^2-4y^2 = \frac{50}{2} \\\\3x^2-4y^2=25](https://tex.z-dn.net/?f=6x%5E2%20-%208y%5E2%20%3D%2050%5C%5C%5C%5C2%283x%5E2-4y%5E2%29%20%3D%2050%5C%5C%5C%5C3x%5E2-4y%5E2%20%3D%20%5Cfrac%7B50%7D%7B2%7D%20%5C%5C%5C%5C3x%5E2-4y%5E2%3D25)
and the later part
is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.
The largest angle is opposite the largest side, so
Answer: H
Answer:
Step-by-step explanation:
![m^{-8} p^{0}](https://tex.z-dn.net/?f=m%5E%7B-8%7D%20p%5E%7B0%7D)
∴Zero power of any number is equal to 1
Answer:
It was immoral for European nations to claim land in the Americas that were already inhabited by natives. This is because some people were displaced and used as slaves.
Step-by-step explanation:
Cartography is defined as the science and art of making maps or graphical representations showing spatial concepts at various scales. Maps convey geographic information about a place and can be useful in understanding topography, weather, and culture, depending upon the type of map.
9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.