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lidiya [134]
3 years ago
14

Determine a quadratic equation in standard form that has each pair of roots. X=5±√2/3

Mathematics
2 answers:
klasskru [66]3 years ago
8 0

Step-by-step explanation:

you have to add 5 and 2 which is 7 and decide by 3 or estimate

klemol [59]3 years ago
6 0
Add 5 and 2 which is 7 and then divide by 3
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Calculate 8 ∙ 10-4 divided by 2 ∙ 102. (box after the "10" in answer is for the exponent.). ∙ 10
Korolek [52]

Given problem: \frac{8*10^{-4}}{2*10^2}.

Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.

So, we need to simplify 8 over 2 first.

If we divide 8 by 2, we get 4.

Now, let us work on 10's and their powers.

10^{-4} is being divided by 10^{2}.

We can apply quotient rule of exponents remaining part.

According to quotient rule of exponents, \frac{a^m}{a^n}=a^{m-n}

If we apply same rule, we need to subtract exponents of 10's.

\frac{10^{-4}}{10^2}=10^{-4-(-2)}

If we simplify exponent part -4-(-2), it will give us -4+2 =-2.

So, 10^{-4-(-2)}=10^{-2}

And final answer would be 4 \times 10^{-2}.


6 0
3 years ago
Consider the expression 35.86 divided by 2.2 .
Anastasy [175]

Answer:

  • a = 100, b = 100
  • 16.3

Step-by-step explanation:

<h3>Part A</h3>
  • a = 100 will convert the number on the numerator to whole number
  • b = 10 will convert the number on the denominator to whole number

But we need a = b in order not to change the value of the fraction, therefore we choose

  • a = b = 100
<h3>Part B</h3>

Multiplying both numerator and denominator by 100 will make the fraction:

  • 35.86*100/2.2*100 =
  • 3586/220 =
  • 16 66/220 =
  • 16 3/10
  • 16.3
3 0
3 years ago
Evaluate the expression when b= -2, b2 +6b +9
Tema [17]

Answer:

1

Step-by-step explanation:

b= -2, b2 +6b +9

=-2(2)+6(-2)+9

=-4-12+9

=4+9-12

=13-12

=1

4 0
3 years ago
A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w
quester [9]

Answer:

  -88 mph

Step-by-step explanation:

We can use the relation ...

  time = distance/speed

to compare the times in the two directions.

  \dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

4 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
melisa1 [442]

\text{Apply Pythagorean theorem,}\\\\~~~~~~~~\text{Hypotenuse}^2=\text{Base}^2 + \text{Perpendicular}^2\\\\\implies 9^2 = \text{Base}^2 + \left(2\sqrt{14} \right)^2\\\\\implies 81 = \text{Base}^2 + 56\\\\\implies \text{Base}^2 = 81-56\\\\\implies \text{Base}^2 = 25\\\\\implies \text{Base} = \sqrt{25}\\\\\implies \text{Base} = 5\\\\\text{The length of the third side is 5 units.}

4 0
2 years ago
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