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Goryan [66]
3 years ago
8

What is the horizontal distance between these two points (3,4) and (8,4)

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

 

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

 

Where

(x_1,y_1) = (3,4)

(x_2,y_2) = (8,4)

 

Replacing these values in the distance formula

D =\sqrt{(3-8)^2+(4-4)^2}

D =\sqrt{(-5)^2+(0)^2}

D =\sqrt{25}

D= 5

 

Hence the Distance is 5 units

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How many degrees does the earth revolve on its axis each hour? How many radians?
mestny [16]

Answer:

The earth will revolve 15° and 0.0833 radian in 1 hour              

Step-by-step explanation:

We know that earth revolve one round on its axis 24 hour

We know that 1 round = 360°

So earth will revolve 360° in 24 hour

So earth will revolve \frac{360}{24}=15^{\circ} in 1 hour

Now we have to find the revolution in radian

So 15^{\circ}=15\times \frac{\pi }{180}=0.0833\pi

3 0
3 years ago
After eating all the leftovers, Chet drove back from Vail to Denver. He
Vladimir79 [104]

Answer:

Driving time Denver to Aspen

Yes, it's about 3-1/2 hours from Denver to Aspen via Glenwood Springs. It's approx. 200 miles, all but the last 40 on I-70 interstate. The driving time will depend upon the weather and what day of the week you're traveling (I-70 can be jammed with skiers on Friday nights and Sat.

Step-by-step explanation:

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3 0
2 years ago
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
pashok25 [27]
<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

<u>Substitute the coordinates of the given points:</u>

\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10  }

<u>Simplify the equation to determine the slope:</u>

\implies \text{Slope} = \dfrac{0}{-3 - 10  }

∴ 0 divided by ANY number is ALWAYS 0.

\implies \text{Slope} =0

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

  • x₁ and y₁ are the coordinates of any given point.
  • m is the slope

<u>Substitute the values in the point slope form:</u>

\implies \text{Equation of line:} \ y - y_{1}  = m(x - x_{1} )

\implies \text{Equation of line:} \ y - 2  = 0(x - 10)

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

\implies \text{Equation of line:} \ y - 2  = 0

\implies \text{Equation of line:} \ y   = 0 + 2

\implies \text{Equation of line:} \ y   = 2

Thus, the equation of the line is y = 2.

5 0
2 years ago
Multiply the polynomials.
Evgesh-ka [11]

Answer:

x^3-x^2-17x+12

Step-by-step explanation:

(x+4)(x^2-5x+3)

x^3-5x^2+3x+4x^2-20x+12

x^3-5x^2+4x^2+3x-20x+12

x^3-x^2-17x+12

6 0
3 years ago
Read 2 more answers
11+2 to the 3rd power ×5 using PEMDAS?
allochka39001 [22]
58 - its simple- Hope I helped :)
6 0
3 years ago
Read 2 more answers
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