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Nonamiya [84]
2 years ago
14

What is the speed of a bike that travels 360 meters in 80 seconds

Mathematics
1 answer:
alukav5142 [94]2 years ago
3 0

Answer:

4.5 meters per second, or 270 meters per minute.

Step-by-step explanation:

If you divide 360 by 80, you get 4.5 and if you divide 360 by 1 1/3 (which is how many minutes 80 seconds is), you get 270.

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Please help me. Factor. 5x^+23x+26
Alexus [3.1K]
<span>Algebra Calculator | Latest | Discuss | About | Help | Translation</span>

20,897,614 solved | 1,346 online

Skip Ad <span> <span> <span> <span> </span> <span>
</span></span></span></span> <span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span>  x = 2 </span><span>  x = 13/5 = 2.600
</span></span>

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     5*x^2-23*x-(-26)=0 

Step by step solution :Skip Ad
<span> Step  1  :</span><span>Equation at the end of step  1  :</span><span> (5x2 - 23x) - -26 = 0 </span><span> Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 5x2-23x+26</span> 

The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  5 • 26 = 130</span> 

Step-2 : Find two factors of  130  whose sum equals the coefficient of the middle term, which is  <span> -23 </span>.

<span><span>       -130    +    -1    =    -131 <span>
</span> </span> <span>       -65    +    -2    =    -67 <span>
</span> </span> <span>       -26    +    -5    =    -31 <span>
</span> </span> <span>       -13    +    -10    =    -23    That's it</span></span>
4 0
3 years ago
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

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

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
Which choice is equivalent shown here x less than 0?
Usimov [2.4K]

Which choice is equivalent shown here x less than 0?

ANSWER:

D.

EXPLANATION:

I hope its help

6 0
2 years ago
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the  average of the numbers at the endpoints.

It is given by:    M = \frac{a+s}{2} +(\frac{b+t}{2})i

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i  and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i     [Apply Mid-point formula]

On comparing both sides

we get;

-1 = \frac{-5+s}{2}  and  1 = \frac{-7+t}{2}

To solve for s:

-1 = \frac{-5+s}{2}

or

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

1 = \frac{-7+t}{2}

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

or

t =9

Therefore, the other end point (s+ti) is, 3+9i




4 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
kogti [31]

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

5 0
2 years ago
Read 2 more answers
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