Answer:
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
- vertices of hyperbola:(±a,0) and (0,±b) if reversed
<h3>given:</h3>
- vertices: (0,±10)
- the hyperbola equation is inversed since the vertices is (0,±10)
- asymptotes:
<h3>let's solve:</h3>
- the asymptotes are in simplest and we know b is ±10
according to the question
therefore we got
note: the equation will be inversed
let's create the equation:
Answer:
Step-by-step explanation:
------ " ☆ "
Multiply 2^(-5) by 2^6. The correct result is 2^1, or just 2 (inches).
We have that
y = 3x²<span>+ 2x + 1
step 1</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3
Complete the square. Remember to balance the equation by adding the same constants to each side
y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))
y-2/3=3*(x+2/6)²
the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
using pythagorean theorem
a^2 + b^2 =c^2
a^2 +8^2 =14^2
a^2 +64 = 196
subtract 64 from each side
a^2 = 132
take the square root of each side
a^2 = sqrt (132)
a=11.48912529
a =11.5
