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Kamila [148]
2 years ago
13

1 Jack and Diane want to meet for breakfast. Jack walks 1.5 mph and Diane walks 1 mph. They started 5 miles apart from each othe

r. How long does it take them to meet up?
anwers : jack take 3.33 hours and diane would take 5 hours

2 How far apart were they after 1 hour?
Mathematics
1 answer:
Alex_Xolod [135]2 years ago
3 0
1.5mph (x) = 5m
x = 5:1.5 = 3.33 [hours]

1mph (x) = 5m
x = 5:1 = 5 [hours]

After one hour, with JACK’S Speed :
5m - 1.5m = 3.5m [far apart]

After one hour, with DIANE’S Speed :
5m - 1m = 4m [far apart]


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Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Sidana [21]

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

4 0
3 years ago
A cylinder has a radius of 14 m and a height of 6 m.
Irina18 [472]

Volume of the cylinder is 3696 m²

Step-by-step explanation:

  • Step 1: Calculate volume of the cylinder using the formula V = πr²h

⇒ V = 22/7 × 14² × 6 = 3696 m²

8 0
3 years ago
2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529

x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8

x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
3 years ago
2+5+2) = 6(+2)
Sergio039 [100]

cuatro no? porque osea tiene q

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