Answer:
see explanation
Step-by-step explanation:
The missing angle is 45°, thus the right triangle is isosceles.
Then the 2 sides y and 7 are congruent.
Hence y = 7
Using Pythagoras' identity to calculate x
x² = 7² + 7² = 49 + 49 = 98
Take the square root of both sides
x = = = 7 ≈ 10
12.5 (area of triangle) +40 (area of rectangle)=52.5
<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola.
The standard form of the equation of the hyperbola is shown below:
[(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)
</span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span>
Therefore, the answer is: Hyperbola.
</span>
I believe #2 would be the best answer. Either that or #1.
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.