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timofeeve [1]
3 years ago
13

Can you help me pleaseFind the distance between the points (1,1) and (7,-7)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

10 units

Step-by-step explanation:

to find the distance between two points you will need to use the distance formula:

\sqrt{(x1-x2)^{2}+(y1 - y2)^{2}  }

the x1 refers to the x coordinate in the first bracket, the x2 refers to the x coordinate in the second bracket, etc.

insert the coordinates into the equation:

\sqrt{(1 - 7)^{2}+(1--7)^{2}  }

a double negative equals a positive

insert this equation into your calculator:

\sqrt{(1-7)^{2}+(1+7)^{2}  } = 10

∴ the distance between the points (1,1) and (7,-7) are 10 units

I hope this was helpful :-)

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What is the most precise name for quadrilateral ABCD with vertices A(–5,2), B(–3, 5),C(4, 5),and D(2, 2)?
bonufazy [111]

Answer: ABCD is a parallelogram.

Step-by-step explanation:

First we plot these point on a graph as given in attachment.

From the attachment we can observe that AD || BC || x-axis .

also, AB ||CD, that will make ABCD a parallelogram ,  but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".

Mid point of AC= (\dfrac{-5+4}{2},\dfrac{2+5}{2})=(\dfrac{-1}{2},\dfrac{7}{2})

Mid point of BD= (\dfrac{-3+2}{2},\dfrac{5+2}{2})=(\dfrac{-1}{2},\dfrac{7}{2})

Thus, Mid point of AC=Mid point of BD

i.e. diagonals bisect each other.

That means ABCD is a parallelogram.

8 0
3 years ago
Whats this problem i need help
Eva8 [605]

Answer:

perimeter of triangle=sum of all sides

perimeter of triangle = 3/10ft + 3/10ft + 1/10ft

perimeter of triangle =7/10ft

6 0
3 years ago
The night watchman in a factory cannot guard both the safe in back and the cash register in front. The safe contains $6000, whil
Zolol [24]

Answer:

The guard should be positioned at the safe

Step-by-step explanation:

The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.

The expected value of robbing the safe is:

EV_{s} = \$ 6000*0.2\\EV_{s} = \$ 1200

The expected value of robbing the cash register is:

EV_{r} = \$ 1000*0.8\\EV_{r} = \$ 800

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.

7 0
3 years ago
Which of the following statements best describes the location of −(−5) on a number line?
Korolek [52]
Hello,

-(-5) is also known as just a plain positive 5. When two negatives are multiplied together, they make the number positive. So, the location of -(-5) on a number line would be on the number 5. I hope this helps!

May
8 0
3 years ago
(the stake is 14ft)
Kaylis [27]

Answer:

it‘s about

32.08 ft (if its not an answer choice try 32 or anywhere near that number)

Step-by-step explanation:

SO this is a simple example of triangles

We would need to find the heigh of the flagpole which is the leg of the triangle

The other side (14ft) is the 2nd leg of the triangle

And we know the hypotenuse is 35 ft

So we put that in Pythagorean Theroux and solve for the first missing leg

a^2+14^2=35^2

a^2+196=1225

a^2=1029

√1029 is about 32.08

So its about 32.08

5 0
3 years ago
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