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Vlada [557]
3 years ago
10

An expression is shown below

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

B) It is irrational and equal to = 4\sqrt{2}

Step-by-step explanation:

The expression, \sqrt{18} + \sqrt{2} , is an irrational expression because it contains two irrational numbers, \sqrt{18} and \sqrt{2} . Both number are not perfect square. there is no whole number that would be squared that will give you 18 nor 2.

The expression can be equals the following:

\sqrt{18} + \sqrt{2}

= \sqrt{9*2} + \sqrt{2}

= \sqrt{9}*\sqrt{2} + \sqrt{2}

= 3\sqrt{2} + \sqrt{2}

= 4\sqrt{2}

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The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I
Jobisdone [24]
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
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3 years ago
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Use a graphing calculator to sketch the graph of the quadratic equation and then give the coordinates for the x-intercepts (if t
Nataly [62]

Answer:

Option D.

Step-by-step explanation:

The given quadratic equation is

y=x^2+7x+10

We need to draw the graph of given equation by using graphing calculator as shown below.

From the graph it is clear that the parabola intersect the x-axis at points (-2,0) and (-5,0). So, the x-intercepts are (-2,0) and (-5,0).

Therefore, the correct option is D.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B2%7D%20%20-%204%20%20%5Cdiv%20%20%5Csqrt%7B3%7D%20%20-%202" id="TexFormula1" tit
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Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)

Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))

-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))

Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))

(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1

((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
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3 years ago
If and are equivalent, what is the value of x?
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Answer:

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Step-by-step explanation:

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