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2 years ago

Can you help me with this page please??

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

5 0

Do you know the length and height of the field? If you do, all all the sides together (Height + Height + Length + Length) and you get the answer to Part A.

Part B:
Just do 120 times 5. Then, divide your answer by 6. The answer will be the time they need to run each lap in.

Part C:
Again, what is the length? When you know your length, divide it by 2. Your answer is the side length.

Hope that helped. :)

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore (2, 5) is on this line.

Verifying if (2, 5) is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 = 1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

5 0

2 years ago

A set of 3 consecutive integers has a sum of 27. which integers are they

Scilla [17]

They are 8, 9 and 10.

5 0

3 years ago

BD bisects m m Find m

amm1812

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

$m\angle ABC = 77.2^\circ$

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

$m\angle ABD=m\angle CBD$

Substituting the algebraic expressions for both angles:

$2.5x + 8.6=3.5x - 3.4$

Subtracting 8.6 and 3.5x:

$2.5x - 3.5x = -8.6 - 3.4$

Operating:

$-x = -12$

$x = 12$

The two angles are:

$m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ$

$m\angle CBD=3.5x - 3.4 = 38.6^\circ$

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

$m\angle ABC = 2*38.6^\circ=77.2^\circ$

$\mathbf{m\angle ABC = 77.2^\circ}$

6 0

2 years ago

Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2

Alex73 [517]

Answer:

a) -3 gallons per hour

b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

y = -3x +14 . . . . gas in the tank after x hours

4 0

1 year ago

Please help me :( !!<br> Will give brainliest <3

katovenus [111]

Answer:

2=173

4=309

7=513

9=649

Step-by-step explanation:

Since she starts with 37MB already download 37 will be a constant and for every second she is home she downloads 68 more MBs so to get the answers for the table you just have to do 37+ 68*(the number of seconds)

2=37+68(2)=173

4=37+68(4)=309

7=37+68(7)=513

9=37+68(9)=649

8 0

2 years ago