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dlinn [17]
3 years ago
14

The bus drives 66 km at an average speed of 24 km/h. How long does the journey take?

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

2.75 hours

Step-by-step explanation:

Speed is 24km per hour (\frac{24km}{1hour}), and the bus covered 66km.

We need to get a value of <em>km</em> with the rate (24/1) and distance (66) given.

We get:  \frac{1hour}{24km} *66km.  

The km cancel out, leaving us with 66/24 hours, or 2.75 hours.

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The equation of a parabola is y=x2+6x+9. Write the equation in vertex form.
nignag [31]

Answer:

Step-by-step explanation:

Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

x^2+6x=-9

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

x^2+6x+9=-9+9

The reason we do this is to create a perfect square binomial on the left:

(x+3)^2=0 (obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

(x+3)^2+0=y

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.

6 0
3 years ago
Can you solve this problem plz?
Andre45 [30]

Answer:

First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of Geoff:


The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.


Next, we are going to multiply the ratio between the age of the person and their combined age by £800:

For Eli: 

For Freda: 

For Geoff: 


We can conclude that Eli will get £180, Freda will get £260, and Geoff will get £360.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

M=(\frac{d}{2},\frac{c}{2})

We can also determine the coordinates of point N as:

N=(\frac{a+b}{2},\frac{c}{2})

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

MN=\frac{a+b}{2}-\frac{d}{2}

Subtracting the fractions we get:

MN=\frac{a+b-d}{2}

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

A=(0,0)

The coordinates of B are:

B=(a,0)

Therefore, the length of segment AB is:

AB=a

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

C=(b,c)

The coordinates of D are:

D=(d,c)

Therefore, CD is:

CD=b-d

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

MN=\frac{1}{2}(a+b-d)

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0
1 year ago
I need help I don’t understand
lara [203]

you'll first need to understand the symbols, I've attched a cheat sheet :)

you'll need to see if AB is linked to CD reversed.

If not then it's not A

For B you'll have to see if the angles are parralel to each other.

and for C you'll have to see if the angles are the same.

and D is the same as C

so the answer is ab=cd

<h2>now you understand :)</h2>

4 0
3 years ago
.What decimal is being represented by the decimal grid?
Lisa [10]
It’s 2.26 (now I am going to write random stuff bc it says I need to have 20 characters ggvjffdffvhkjhv)
4 0
3 years ago
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