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2 years ago

Find ST if S(-3,10) and T(-2,3)

Mathematics

2 answers:

Aleonysh [2.5K]2 years ago

6 0

Answer:

ST = 7.07 units

Step-by-step explanation:

* Lets explain how to find the length of a segment

- The length of a segment whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ can be founded by the rule of the distance

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

∵ The line segment is ST

∵ S is (-3 , 10)

∵ T is (-2 , 3)

- Assume that S is $(x_{1},y_{1})$ and T is $(x_{2},y_{2})$

∴ $x_{1}=-3$ and $x_{2}=-2$

∴ $y_{1}=10$ and $y_{2}=3$

- By using the rule above

∴ $ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}$

∴ $ST=\sqrt{(1)^{2}+(-7)^{2}}$

∴ $ST=\sqrt{1+49}$

∴ $ST=\sqrt{50}$

∴ ST = 7.07 units

Oksana_A [137]2 years ago

5 0

Answer:

7.07 units

Step-by-step explanation:

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2 years ago

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tino4ka555 [31]

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Step-by-step explanation:

Since the sale price is $35 each and there are 30 units, the cost will be:

= $35 × 30

= $1050

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= $1050 + (8% × $1050)

= $1050 + (0.08 × $1050)

= $1050 + $84

= $1134

We then add Shipping price which is $15. This will be:

= $1134 + $15

= $1149

We then add the 25% rush charge on the sales price. This will be:

= $1050 × 25%

= $1050 × 0.25

= $262.50

To get total cost, this will be:

= $1149 + $262.50

= $1411.50

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2 years ago

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The change in the value of a stock is represented by the rational number -5.90 describe in words what this means

xxMikexx [17]

We are given : A stock is represented by -5.90.

The given number is a negative number.

Note: When a stock is given by a negative number, it represents the decrease in stock and when a stock is given by a positive number, it represents the increase in stock.

As we are given number is a negative number, we can just say that

" The stock value is being decrease by 5.90".

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2 years ago

Mikela claims that the sum of any two numbers is greater than the larger of the two numbers. Jim claims that the sum of any two

qaws [65]

ANSWER:

The statement of Jim is correct

SOLUTION:

Given statements are

Mikela claims that sum of any two numbers is greater than the larger of the two numbers.

Jim claims that the sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two numbers and a is the greatest of a and b

According to the mikela statement = a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0, but it may not be true always.

Above condition fails when b is either 0 or negative number.

Jim - sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two natural numbers. And a is the greatest of a and b

According to the jim statement = a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0,

And this statement will always be true because b is an natural number, so it will be greater than 0.

Hence jim’s statement is true.

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2 years ago

Alex787 [66]

One possible inequality is:

299m+261j ≥ 1000.

Explanation:

m is the number of cups of milk and j is the number of cups of juice.

Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.

Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.

Together, this would be a total of 299m+261j mg of calcium.

We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":

299m+261j ≥ 1000

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2 years ago