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san4es73 [151]
3 years ago
5

An airplane flies 1700 km in 2 1/2 hours. what is its average speed in kilometers per hour

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

680 kilometer per hour

Step-by-step explanation:


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which of these expressions is the same as 6 × (a 2)? a 6 × a 6 × 2 b 6 (a × 2) c (6 × a) 2 d a × (6 2)
Thepotemich [5.8K]
B. 6 (a x 2)
is your answer
4 0
3 years ago
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Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W
suter [353]

Answer:  The required equation for points P is 4x+2y=17.

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.

Let the point P be represented by (x, y, z).

According to the given information, we have

PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.

Thus, the required equation for points P is 4x+2y=17.

8 0
3 years ago
PLSSS<br><br> C= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B12%5E%7B3%7D%20.%206%5E%7B5%7D%20%7D%7B9%5E%7B4%7D%20.%202%5E%7B10%
Rudiy27

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

12 = 3.4 = 3 .2.2  = 3.2^{2}\\12^{3}  = (3.2^{2} )^{3} = 3^{3}2^{6}  \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator }  =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2  

7 0
2 years ago
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give
Andre45 [30]

Answer:

  • Growth
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Step-by-step explanation:

<u>Given function:</u>

  • P(t) = 400(1.22)^{t}

<u>Initial population size is when t = 0</u>

  • P(0) = 400(1.22)⁰ = 400(1) = 400

<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>

  • 1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0
3 years ago
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
prohojiy [21]

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

8 0
3 years ago
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