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mestny [16]
3 years ago
15

The toy shop is located at (-2, 3) and the ice skating rink is located at (-2, -5). Plot these points on the coordinate grid. If

each unit represents 1 mile, what is the distance from the toy shop to the skating rink?
Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

8 miles

Step-by-step explanation:

We start by calculating the distance between the two points

To calculate this, we use the distance formula

Let the distance be D

We have the formula as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-2+2)^2 + (-5-3)^2

D = √(64)

D = 8 units

Since 1 unit is 1 mile,

then 8 units will be 8 * 1 = 8 miles

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Consider the expression 25 – 10 ÷ 2 + 3.
Tems11 [23]

Given:

The expression is:

25-10\div 2+3

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

(25-10)\div 2+3=15\div 2+3

(25-10)\div 2+3=7.5+3                       [Using BODMAS]

(25-10)\div 2+3=10.5

In option B,

25-10\div (2+3)=25-10\div 5

25-10\div (2+3)=25-2                      [Using BODMAS]

25-10\div (2+3)=23

In option C,

(25-10)\div (2+3)=15\div 5

(25-10)\div (2+3)=3

In option D,

25-(10\div 2)+3=25-5+3

25-(10\div 2)+3=28-5                     [Using BODMAS]

25-(10\div 2)+3=23

After the calculation, we have 25-10\div (2+3)=23 and 25-(10\div 2)+3=23.

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

(25-10)\div (2+3)=3

Therefore, the correct option is C.

8 0
3 years ago
What is √-11 in the form a+bi?
Mice21 [21]

Given:

The number is \sqrt{-11}.

To find:

The a+bi form of given number.

Solution:

We have,

\sqrt{-11}

It can be written as

\sqrt{-11}=\sqrt{-1\times 11}

\sqrt{-11}=\sqrt{-1}\times \sqrt{11}      [\because \sqrt{ab}=\sqrt{a}\sqrt{b}]

\sqrt{-11}=i\times \sqrt{11}      [\because \sqrt{-1}=i]

\sqrt{-11}=\sqrt{11}i

Here, real part is missing. So, it can be taken as 0.

\sqrt{-11}=0+\sqrt{11}i

So, a = 0 and b=\sqrt{11}.

Therefore, the a+bi form of given number is 0+\sqrt{11}i.

5 0
3 years ago
What is the answer 4.6n+7.1n+12.8n-1.6n= ?
Alex787 [66]
The answer would be=22.9n
4 0
3 years ago
Sandra throws an object into the air with an initial vertical velocity of 38 feet per second, from a platform that is 30 feet ab
Lina20 [59]
It will take the object 3 s
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