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Marrrta [24]
3 years ago
7

The distance between (2, 3) and (1,7) is:

Mathematics
2 answers:
NemiM [27]3 years ago
8 0

Answer:

d=√17≈4.12310562561766

Step-by-step explanation:

devlian [24]3 years ago
4 0

Answer:

\sqrt{17}\: units

Step-by-step explanation:

d =  \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2}   }   \\  \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2}   }  \\  \\ = \sqrt{ 1 + 16   }  \\  \\  d=  \sqrt{17}  \\

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Three-fourths of a number increased by one-half is equal to fourteen. Find the number.
ivanzaharov [21]

Three-fourths of a number increased by one-half

= 3/4 x + 1/2

So three-fourths of a number increased by one-half is equal to fourteen:

3/4 x + 1/2 = 14

Multiply both sides by 4

3x + 2 = 56

Subtract 2 from both sides

3x = 54

Divide both sides by 3

x = 18

Answer: The number is 18

8 0
3 years ago
Read 2 more answers
A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng
Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft  (Correct)

3 0
3 years ago
Word problem-in a movie script time traveler wanted to save his wife who died the same year. The couple was the dam age. However
drek231 [11]

Represent Age of Time Traveler =========> X

Solve:

x = 3(x - 20 )


Step 1: Simplify Both sides of equation:

x = 3(x - 20 )

x = (3) (x) + (3) ( - 20 ) (Distribute ):

x = 3x + - 60

x = 3x - 60


Step 2: Subtract 3x from both sides:

x - 3x = 3x - 60 - 3x

- 2x = - 60


Step 3: Divide both sides by -2:

- 2x / - 2 = - 60 / - 2

x = 30



Answer: Our Time Traveler is 30 years old.




Hope that helps : )




5 0
3 years ago
Sold 685 boxes of cookies about how many boxes are they sold rounded to the nearest ten
MissTica

Answer:

690

Step-by-step explanation:

Round from the tens place.

8 0
3 years ago
The surface area of the triangular prism is:<br> (see attached image)<br> (in square meters)
Anvisha [2.4K]

The triangle prism should be 60

6 0
3 years ago
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