The ratio of 
= - 34
How to solve such questions?
Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.
Completing the square is a method that is used for converting a quadratic expression of the form 
to the vertex form
. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: 
, such that the left side is a perfect square trinomial
= 
= 
(Completing Square method)
=
On comparing with the given equation we get
p = - 
and q = 
∴ = 
= - 34
Learn more about completing the square method here :
brainly.com/question/26107616
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Answer:
y-1=2(x+4) or y=2x+9
Step-by-step explanation:
y - 3 = 2(x + 7)
y=mx+b
m=2
(x1,y1) -> (-4, 1)
(y−y1)=m(x−x1)
plug in
y-1=2(x+4)
y-1=2x+8
y=2x+9
test:
(1)=2(-4)+9
1=-8+9
1=1
Answer:
The expression simplifies to 
.
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the 
terms in the numerator and in the denominator cancel to give
The 
are present both in the numerator and in the denominator, so they also cancel, and the fraction 
simplifies to 
, so finally our expression becomes:
Which is our answer:)
In order to solve this problem, you must create a ratio. If Bangor is 240 miles away and Javier has only 4 hours to get there, we can divide 240 by 4 which equals 60 miles per hour.
Area covered by the solar cells = 269.5 m^2
Area of one cell = 150 cm^2
Convert the area of one cell to m^2 by using the conversion factor 1m^2 = (100cm)^2 => 1 = 1m^2 / 1000 cm^2
=> 150 cm^2 * [1m^2 / 1000 cm^2] = 0.150 m^2
Now finf the number of times that 0.150 is contained in 269.5 by dividing 269.5 by 0.150
269.5 = 0.150 = 1,796.67
Which means that the number of cells is betwee 1796 and 1797.
