Can someone please help me with this? Thanks :)

A boat travels upstream from Point A to Point B in 7 hours. The return trip takes only 3.5 hours because the boat travels 3 mile

yarga [219]

Because the boat travels the distance twice as fast when going 3 three miles/hour faster the original speed must be 3 miles/hour. so the distance upstream would be 21 miles/hour.

6 0

4 years ago

What’s the area?? There’s a picture

Montano1993 [528]

Answer:

A= 12 Ft^2

Step-by-step explanation:

Reminder the Area formula is A=B(Base) times H(Height).

Take The base (6) and the Height (6) then multiply.

Hence, the reason is 12 Ft squared.

6 0

3 years ago

4. For each function, write the rule in vertex form and find the coordinates of the max/min point on its graph.

kakasveta [241]

'Vertex form', having just googled it, is another name for completing the square, which I have done extensively at school. This involved converting:
f(x) = ax^2 + bx + c --> f(x) = a(x-b)^2 + c

In the completed-square form, (b, c) are the co-ordinates of the vertex (which is the maximum/minimum point). So for part a:

- Here is the original
f(x) = x^2 + 12x + 11

- Halve the x-coefficient (the number before x) and use it as -b in the vertex form described above. You must then calculate the square of this number and minus it at the end because when you multiply it out, this is the surplus you will make along with x^2 + 12x:
f(x) = (x + 6)^2 - 36 + 11

- Tidy this up by collecting the constant (just number) terms together:
f(x) = (x + 6)^2 - 25

- Using the form a(x - b)^2 + c, we can work out that b = -6 (because -b = 6) and c = -25. This gives us the vertex (-6, -25) which is a minimum point because the graph is a positive quadratic, giving us the characteristing 'U' shape which has a bottom. If it were a negative quadratic (denoted by a negative x^2 coefficient), the vertex will be a maximum point because it has an 'n' shape instead.

- To solve the equation from here, make the function equal to zero:
(x + 6)^2 - 25 = 0

- Then take 25 to the other side:
(x + 6)^2 = 25

- Next, square-root both sides:
x + 6 = <span>±5

- Rearrange to finish:
x = -6 </span><span>± 5 = -1 or -11

- Therefore, the roots (solutions) to the equation x^2 + 12x + 11 = 0 are x = -1 or -11

This method will work the same for the other equations up there too, so I will leave them for you to do.

I hope this helps
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7 0

4 years ago

Hal ran 1 2/5 miles on Monday and 3/4 of a mile on Tuesday. How far did he run in total for the two days?

spin [16.1K]

Answer:

2.12 miles

Step-by-step explanation:

5 0

3 years ago

Use the following information:

Anastasy [175]

Answer:

n(U) = 20
n(A) = 8
n(B) = 5
n(A'∪B) = 15

Step-by-step explanation:

For these sets, it is easy enough to list the elements and count them.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

n(U) = 20

A = {1, 3, 5, 7, 9, 11, 13, 15}

n(A) = 8

B = {7, 11, 13, 17, 19}

n(B) = 5

A'∪B = {2, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20}

n(A'∪B) = 15

4 0

3 years ago