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Bess [88]
3 years ago
8

Complete the square to solve LaTeX: 0=-x^2+4x-5 Also written as 0= -x^2+4x-5

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
X=2+-(plus or minus)i
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Match each graph with its corresponding equation
s344n2d4d5 [400]
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)

taking another point (-1,5) 
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)

b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1


5 0
3 years ago
Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x
GaryK [48]

Answer: y = \frac{x-1}{x+1}

Step-by-step explanation:

log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}

6 0
3 years ago
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Two similar solids have a scale factor of 6 : 7. What is the ratio of their volumes, expressed in lowest terms?
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Volume ratio:
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216 : 343

7 0
3 years ago
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What is the greatest common factor of 3062, 8062, and 2013?
Zanzabum
One
the gcf all the numbers is 1
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3 years ago
If using the method of completing the square to solve the quadratic equation
Katen [24]

Answer: here a, b, and c are real numbers and a≠0. A solution to such an equation is called a root. Quadratic equations can have two real solutions, one real solution, or no real solution. If the quadratic expression on the left factors, then we can solve it by factoring. A review of the steps used to solve by the factory..

Step-by-step explanation:I hope it heps

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2 years ago
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