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nevsk [136]
3 years ago
12

John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shor

test distance from his house to the store? Explain
Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

5 miles

Step-by-step explanation:

It is a right triangle, with 3 miles down, and 4 miles to the right

the shortest distance would be and southeast line.

Using the Pythagorean theorem, you get:

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

x = 5

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frutty [35]
For the problem, we are asked t o calculate the volume of the cylindrical vase and it will represent the amount of water that Mary should pour. For a cylinder, the volume is calculated as follows:

V = πr²l
V = π(3)²(8)
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8 0
3 years ago
F (x) = 3x^2+ 5 x -14
elena-14-01-66 [18.8K]

Here is the answer

6 0
2 years ago
(6x −9)3−1=((6x−9)3)(0) Solve for X
Tasya [4]

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1  = 0                       Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1             Combine

(6x - 9)*3 = 1                             Divide both sides by 3

(6x - 9)*3/3 = 1/3                      Simplify

(6x - 9) = 1/3                             Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3                        Combine

6x = 9 1/3

6x = 28/3                                   Divide both sides by 6

6x / 6 = 28/3 // 6                       Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

6 0
2 years ago
Y varies directly with x and y = 12 when x =5 what is the value of y when x = 8
torisob [31]
Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.

x=5 --> y=12
x=8 --> y=?

? = (8*12)/5 = 96/5 = 19.2

So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.

Hope this Helps! :D
3 0
3 years ago
Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wa
bezimeni [28]
For this case, the first thing we must do is define variables.
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 y: number of pencils
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 Note: see attached image.

3 0
3 years ago
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