Answer:
See attached diagram
Step-by-step explanation:
You are given the equation of hyperbola

From this equation,
- the center of hyperbola is at point (1,-3);
- the real semi-axes

- the imaginary semi-axes

Draw two parallel lines x=1 and y=-3 (they intersect at the center of hyperbola), then on horizontal line match two hyperbola's vertices (7 units to the left and 7 units to the right from the center). Then draw two branches of hyperbola (one in negative direction and one in positive direction).
Answer:

Step-by-step explanation:

Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
Answer:
x = 60
Step-by-step explanation:
The two angles shown here are known as corresponding angles. This means they both equal the same amount of degrees. Knowing this, we can set up an equation:
2x + 15 = 135
2x = 120
x = 60
Therefore, x = 60
You can check your answer by substituting the answer for x:
2(60) + 15 = 135
120 + 15 = 135
135 = 135
Answer:
lesser: -1
Greater: 2
Step-by-step explanation:
We need to figure out what values of x make it equal to 0
because it's all being mulitplied we just need one parathenses to equal 0
so we can set them equal to 0
which means we have
x-2=0
3x+3=0
Solve for x and get
2
-1