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Anna [14]
2 years ago
14

Pythagorean Theorem.....​

Mathematics
1 answer:
pentagon [3]2 years ago
5 0

Step-by-step explanation:

the specific gravity of honey is 1.43. a vat of honey 10 feet deep is inside a dome pressurized to 0.05 atmospheres on the surface of pluto. the total pressure at the bottom of the tub is 7,930 pa. what is the gravitational acceleration of pluto in m/s2

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Find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8
xz_007 [3.2K]

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

3 0
2 years ago
Read 2 more answers
Help!!!!!15point :) thanks in advanced!!!!!!!!!!!!!!!!!
Ann [662]
The other person
is right
7 0
2 years ago
Read 2 more answers
Sam draws two polygons that are similar. The
kirza4 [7]
scale:\frac{10}{16}=\frac{5}{8}\\\\Solution:\frac{5}{8}\times4cm=\frac{5}{2}cm=2.5cm
4 0
3 years ago
The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o
Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

40\times 4\\\\=160\ hours

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

\dfrac{4000}{160}\\\\=25

Hence, there are 25 FTEs.

7 0
3 years ago
Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a
stepan [7]
4s+7a=861
s+a=168

This can be solved using either elimination or substitution. I am going to use substitution.

Solve s+a=168 for s
s=168-a

Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861

Solve for a
672+3a=861
3a=189
a=63

Substitute 63 for a in s=168-a
s=168-63=105

So, s=105 student tickets and a=63 adult tickets
3 0
3 years ago
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