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Crazy boy [7]
3 years ago
12

The moon is 2.4 x 10^5 miles from earth. Assume the speed of the fastest spacecraft is 3.6 x 10^4 miles per hour. How many hours

would it take this spacecraft to fly to the moon from earth
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

t = 6.67 seconds

Step-by-step explanation:

Given that,

The distance of Moon from Earth, d=2.4\times 10^5\ miles

The speed of the spacecraft, v=3.6\times 10^4\ miles/hour

We need to find the time it take this spacecraft to fly to the moon from earth. Let the time is t.

We know that,

Speed = distance/time

t=\dfrac{d}{v}\\\\t=\dfrac{2.4\times 10^5}{3.6\times 10^4}\\\\t=6.67\ s

So, the required time is equal to 6.67 seconds.

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Pls help me! And explain how you found the answer pls
Dmitriy789 [7]

Answer:

y = \frac{1}{2} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m = \frac{-12+14}{-18+22} = \frac{2}{4} = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 18, - 12) , then

- 12 = - 9 + c ⇒ c = - 12 + 9 = - 3

y = \frac{1}{2} x - 3 ← equation of line

6 0
3 years ago
- 12. What is the greatest common factor of 120 and 84?
sweet [91]

Answer:

12 (the third one is the greatest common factor of 120 and 84)

7 0
3 years ago
Read 2 more answers
F(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6,
svetlana [45]

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

so

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

g(x)=2x^2+8x+6

Find the vertex

Factor the leading coefficient

g(x)=2(x^2+4x)+6

Complete the square

g(x)=2(x^2+4x+4)+6-8

g(x)=2(x^2+4x+4)-2

Rewrite as perfect squares

g(x)=2(x+2)^2-2

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

0=2(x+2)^2-2

2(x+2)^2=2

(x+2)^2=1\\x+2=\pm1\\x=-2\pm1

so

The roots or x-intercepts are

x=-1 and x=-3

<u><em>Verify each statement</em></u>

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true  (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

7 0
3 years ago
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Factor the expression completely.<br> 15x2-5x - 10<br> 15x2-5x - 10 =
AVprozaik [17]

Answer:

x=8

Step-by-step explanation:

30-5x-10

-5x+30-10

-5x+40

-5x= -40

divide both sides by -5

-5x/-5= -40/-5

x=8

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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