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prisoha [69]
4 years ago
8

What is the slope of the line that passes through the points R(11, 6) and S(9, -1)?

Mathematics
2 answers:
mr_godi [17]4 years ago
6 0

Answer:

The slope is 7/2

Step-by-step explanation:

The slope of a line can be found by

m = (y2-y1)/(x2-x1)

  = (-1 -6)/(9 - 11)

  -7 / -2

   7/2

arlik [135]4 years ago
4 0

Answer:

m = \frac{7}{2}  

Step-by-step explanation:

<u>Use the formula:</u>

<u />m = \frac{y_2-y_1}{x_2-x_1}

<u>Plug in the numbers (coordinates) given:</u>

<u />m = \frac{-1-6}{9-11}

m = \frac{-7}{-2}       →       m = \frac{7}{2}  

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A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0
3 years ago
On your last math quiz, you got 15
dlinn [17]

Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

3 0
3 years ago
Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with ti
Katarina [22]

Answer:

So, the relationship with i hours as the indecent variables would be  

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =  

In i hours, she can paint =  

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

Now,  Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

6 0
3 years ago
Read 2 more answers
Someone help me for this algebra task please
Gekata [30.6K]

Answer:

200

Step-by-step explanation:

Substitute 15 for y

\frac{1}{5} x -  \frac{2}{3} (15) = 30

\frac{1}{5} x - 10 = 30

\frac{1}{5} x = 40

x = 200

3 0
3 years ago
Solve the proportion. 5/7=x/35
cestrela7 [59]

Answer:

x = 25

Step-by-step explanation:

\frac{5}{7}  =  \frac{x}{35}  \\  \\ x =  \frac{5 \times 35}{7}  \\  \\ x =  5 \times 5 \\  \\ \huge \red{ \boxed{ x = 25}}

6 0
3 years ago
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