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3 years ago

The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units

Mathematics

2 answers:

Juliette [100K]3 years ago

6 0

Answer:

Option B 13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

$d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }$

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

$=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13$

So, Option B 13 units is correct.

allochka39001 [22]3 years ago

3 0

Answer:

B) 13 units

Step-by-step explanation:

1) Use the equation for solving the distance between points:

√(x2 - x1)²+(y2-y1)²

2) In this case, we would plug them into the equation:

√(12-0)²+(9-4)²

3) Now, we simplify:

√(12)²+(5)²

4) We simplify even further:

√144+25

5) We add the two:

√169

6) Take the square root of √169:

13.

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Give the order of the matrix, and identify the given element of the matrix.

tigry1 [53]

Answer:

option D

2x4; -11

Step-by-step explanation:

Order of matrix is in form (m x n), here m is the row and n is the column of the matrix.

So this matrix have 2 rows and 4 columns

1)Order of matrix

2x4

2) $a_{12}$

here 1 is the row and 2 is the column

-11

Each elements of the matrix can be identity as below

$\left[\begin{array}{cccc}x_{11} &x_{12} &x_{13} &x_{14} \\x_{21} &x_{22} &x_{23} &x_{24} \\\end{array}\right]$

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4 years ago

Translation: 6 units right and 3 units down<br> s(-3, 3), C(-1, 4), W(-2,-1)

sdas [7]

S (3, 0)
C (5, 1)
W (4, -4)

Explanation
You take the first number and add 6 to it and you get the new number and then you take the second number and subtract 3 from it

S: -3 + 6 = 3
S- 3 - 3 = 0

C: -1 + 6 = 5
C: 4 - 3 = 1

W: -2 + 6 = 4
W: -1 - 3 = -4

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3 years ago

Sally had medical testing and discovered that her white blood cell count is lower than normal. Which of Sally′s body systems are

Sloan [31]

Answer:

Step-by-step explanation:

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3 years ago

Which ordered pair would be a solution on the graph of the following system of inequalities: y is greater than or equal to negat

daser333 [38]

Ordered pair is $( x, y)= ( \frac{20}{17} , \frac{-126}{17} )$

<u>Step-by-step explanation:</u>

We have the following inequalities:

$y \geq \frac{-x}{2} - 8$ and $y < 8x +2$ . In order to find ordered pair would be a solution on the graph .Let's solve both inequalities , and will take common solution from both of them !

$y = \frac{-x}{2} - 8 \\$ and , $y = 8x +2$ which implies:

⇒ $8x + 2 = \frac{-x}{2} - 8$

⇒ $\frac{17x}{2} = - 10$

⇒ $x = \frac{-20}{17}$

putting value of x in both inequalities we get,

$y \geq \frac{-x}{2} - 8$ and $y < 8x +2$

$y \geq \frac{-(\frac{-20}{17} )}{2} - 8$ and $y < 8.(\frac{-20}{17}) + 2$

$y \geq \frac{-126}{17}$ and $y < \frac{-126}{17}$

Hence at x = $\frac{-20}{17}$ and y = $\frac{-126}{17}$ above inequalities are satisfied. ∴ Ordered pair is $( x, y)= ( \frac{20}{17} , \frac{-126}{17} )$