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RoseWind [281]
2 years ago
12

What should be the b-value in the equation shown below if the equation is a perfect square trinomial?

Mathematics
1 answer:
masha68 [24]2 years ago
4 0

Answer:

B=10

Step-by-step explanation:

It's a perfect square of equation ax²+2abx+b²

I'm the given equation a is 1 and b is 5 so 2(a)(b)=2(1)(5)=10

(ps: when I say b in the explanation I mean another b not the one in question as to not be confused)

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Ajar contains "x" black and "y" white balls. What is the probability that a random draw is black?
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Answer:

Step-by-step explanation:

favorable events=x

total number of events=x+y

P=(favorable events)/(total number of events)=x/(x+y)

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One-fifth of the sum of the numerator and the denominator of a particular fraction is8. If the numerator is subtracted from 22,
Alex_Xolod [135]

Answer:

The original fraction is 13/27

Step-by-step explanation:

Let the fraction be x/y. This means that the numerator is x and the denominator is y.

One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that

1/5 (x+y) = 8

Cross multiplying with 5,

x+y = 5×8 = 40 - - - - - - - -1

If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that

(22-x)/y = 1/3

Cross multiplying with y and 3,

3(22-x) = y×1

66-3x = y - - - - - -2

Substituting y = 66-3x into equation 1, it becomes

x + 66 - 3x = 40

x -3x = 40-66

-2x = -26

x = 26/2 = 13

y = 40 - x = 40 - 13

= 27

The original fraction is 13/27

8 0
3 years ago
How do the unit rates of miles per gallon compare for these two vehicles?
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2 years ago
A particle p is moving along the x-axis the displacement x metres from O can be writen as x=t^5-12t²+9 find the velocity
Lisa [10]

Answer:

v = t (5t^{3} - 24)

Step-by-step explanation:

We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.

============================================================

Solving :

⇒ \frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)

⇒ v = (5)t^{5-1} - (2)12t^{2-1} + 0

⇒ v = 5t^{4} - 24t

⇒ v = t (5t^{3} - 24)

Using this equation, we can find the velocity if a value of t is given.

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D. she’s at a constant rate. i say that because there’s a straight line indicating she’s moving at the same pace/speed.
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