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:
x= 10
Step-by-step explanation:
Since the triangles are congruent
<B = <E
50 = 5x
Divide each side by 5
50/5 = 5x/5
10 =x
Answer:
aₙ = aₙ₋₁ + aₙ₋₂
where:
a₁ = 6
a₂= 1.
Step-by-step explanation:
We have the sequence:
6, 1, 7, 8, 15, 23, ...
Is easy to see that this sequence works as follows:
You take 2 consecutive numbers, and the next number is the sum of these two.
Then we have:
6 + 1 = 7
1 + 7 = 8
7 + 8 = 15
8 + 15 = 23
Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.
This is written as:
aₙ = aₙ₋₁ + aₙ₋₂
Because in the recursive rule needs two previous terms, we need to specify the two first terms of the sequence.
Then we need to write also:
a₁ = 6
a₂= 1.
Answer:
The speed would be 60kph
60/60=1
Step-by-step explanation:
60x24=1,440
It would at a speed of 1,440km per day.
In a year it would go 525,600 km.
Every nanosecond it would go 0.0001 cm.
Answer:
V = 9.828 * 10^7 mm^3
a= 9.828 b = 7
9,827,000 mm^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2
We multiply the numbers out front and add the exponents (the powers of 10)
V = (1.2*3.9*2.1) * 10^(3+2+2)
V = 9.828 * 10^7 mm^3
Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros
9,827,000 mm^3
