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marysya [2.9K]
3 years ago
15

Write the ordered pair that represents yz. Then find the magnitude of yz . y=14,-23 z=23,-14

Mathematics
2 answers:
Firlakuza [10]3 years ago
4 0

Answer:

Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.

Step-by-step explanation:

Given ordered pair of y and z are ( 14 , -23 ) and ( 23 , -14 ) respectively

To find: Ordered pair of yz and magnitude of yz

To find order pair of yz we subtract ordered pair of y from z.

Ordered pair of yz = ( 23 - 14 , -14 - (-23) )

                               = ( 9 , -14 + 23 )

                               = ( 9 , 9 )

Magnitude of yz , [\left|yz\right|\:=\:\sqrt{9^2+9^2}

                                    = \sqrt{81+81}

                                    = \sqrt{2\times81}

                                    = 9\sqrt{2}

Therefore, Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.

N76 [4]3 years ago
4 0

Answer:

A on e2020

Step-by-step explanation:

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Answer:

They are equal

Step-by-step explanation:

All the sides are equal, because you use the pythagoreon theorem to find out that all the sides are equal.

8 0
2 years ago
Help please! I need answers quickly :((
Rzqust [24]

Answer:

y = - \frac{1}{2} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - \frac{1}{2} x + 2 ← equation of line

5 0
3 years ago
Read 2 more answers
A concert hall has 8,000 seats and two categories of ticket prices, $29 and $34. Assume that all seats in each category can be s
Greeley [361]

Using a system of equations, it is found that:

  • For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.
  • For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.
  • For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

--------------------

The variables of the system are:

  • x, which is the number of $29 tickets sold.
  • y, which is the number of $34 tickets sold.

Total of 8,000 seats, all can be sold, thus:

x + y = 8000 \rightarrow x = 8000 - y

--------------------

For a profit of $255,000, we have that:

29x + 34y = 255000

29(8000 - y) + 34y = 255000

5y = 23000

y = \frac{23000}{5}

y = 4600

x = 8000 - 4600 = 3400

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.

--------------------

For a profit of $271,000, we have that:

29x + 34y = 271000

29(8000 - y) + 34y = 271000

5y = 39000

y = \frac{39000}{5}

y = 7800

x = 8000 - 7800= 200

For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.

--------------------

For a profit of $235,000, we have that:

29x + 34y = 235000

29(8000 - y) + 34y = 235000

5y = 3000

y = \frac{3000}{5}

y = 600

x = 8000 - 600 = 7400

For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

A similar problem is given at brainly.com/question/22826010

3 0
3 years ago
A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the
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Answer:

| x1 -25\ | \leq\ 6 is the correct answer to the given question.

Step-by-step explanation:

Missing information

In this question options are missing.Following are the option

(a) | x1 -25\ | \leq\ 6

(b) | x1 - 6 |\ > 25

(c)| x1 +25 |\ \leq \ 6

(d) | x1 +25 |\ > 6

As mention in the question On the highway, car is said to get 25 miles per gallon

We assume x1= 25

also that the value of x1 is fluctuate by 6 miles per gallon

x1 \leq \ 25\ \pm\ 6

This can be written as

x1\ -25 \leq \  \pm\ 6

Therefore

| x1 -25\ | \leq\ 6 is the answer

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