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Vsevolod [243]
3 years ago
6

Find the distance between the given points (2,8) and (7,7)

Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

d=\sqrt{26}\approx5.0990

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

d=\sqrt{(7-2)^2+(7-8)^2}

Simplify:

d=\sqrt{5^2+(-1)^2}

Square:

d=\sqrt{25+1}

Add:

d=\sqrt{26}\approx5.0990

And that's our answer :)

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9x - y = 15 2x + 8y = 28
faust18 [17]
9x - y = 15
2x + 8y = 28

Use the substitution method.
Solve for y in the first equation.

9x - y = 15
-y = 15 - 9x
y = -15 + 9x

Now plug in y into the second equation.
2x + 8(-15 + 9x) = 28
2x - 120 + 72x = 28
74x - 120 = 28
74x = 148
x = 2

Plug x back into the rewritten first equation.
y = -15 + 9(2)
y = -15 + 18
y = 3

x = 2, y = 3
5 0
3 years ago
A sphere and cylinder have the same radius and height. The volume of the cylinder is 30m^3. What is the volume of the sphere?
Aleonysh [2.5K]

Answer:

15 is the volume I hope I helped

5 0
3 years ago
20 square root of 270 /4 square root of 3
OleMash [197]

Answer:

<u>The most simplified form is 15√10</u>

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

20√9 * 30/  4√3 (√270 = √9 * 30)

60 √30/ 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 ( We cancel √3 in the numerator and in the denominator)

15√10

<u>The most simplified form is 15√10</u>

6 0
3 years ago
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
r-ruslan [8.4K]

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

3 0
3 years ago
Which equation has the correct sign on the product?
eimsori [14]
Answer: b

Explanation: A and C are wrong because a negative times a positive is a negative
And D is wrong because a positive times a positive is a positive
7 0
3 years ago
Read 2 more answers
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