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erma4kov [3.2K]
3 years ago
12

Given a square with two vertices of one side located at (-5. -3) and (-5, 12), in square units what is its area?

Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

225

Step-by-step explanation:

Since the side length of the square is 15 units, a square has sides of the same length, therefore the other side lengths are also 15 units. A = b*h so 15*15=225

givi [52]3 years ago
4 0

Answer:

4. 225

Step-by-step explanation:

The distance between points (-5, -3) and (-5, 12) is the length of the side of the square. Since both points have an x-coordinate of -3, they lie on the same vertical line. The distance between them is |12 - (-3)| = |12 + 3| = |15| = 15. The side measures 15 units.

area = side^2

area = 15^2 = 225

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1. What is the slope between the points (2,-5) and (8,3)? *<br><br> Show work please
hjlf

Answer:

\sf m = \dfrac{4}{3}

Step-by-step explanation:

Given, \sf (x_1, ~ y_1) = (2, -5) and \sf (x_2, ~ y_2) = (8, 3)

The slope formula is, \sf m = \dfrac{y_2 - y_1}{x_2 - x_1}

\sf m = \dfrac{3 - (-5)}{8 - 2}

\sf m = \dfrac{8}{6}

\bf m = \dfrac{4}{3}

6 0
2 years ago
(2x +1) -7 (-6x+9) what is the answer if using the Distributive Property?
Margarita [4]

Answer:

Step-by-step explanation:

Distributive property:  a(b +c) = a*b + a*c

(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9

                              = 2x + 1 + 42x - 63  {Combine like terms}

                              = 2x + 42x + 1 - 63

                              = 44x - 62

5 0
3 years ago
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kipiarov [429]
The slope of this line is -1 you find this by using the slip formula of y-y over x-x find two points on the line so I used points (-2,2) and (-1,1) plug them into the formula to get the slope of -1 hope this helps:)
6 0
3 years ago
Read 2 more answers
Which of the sets of ordered pairs represents a function?
alexandr1967 [171]

Answer:

The correct option is 4. Neither A nor B represents a function.

Step-by-step explanation:

The given sets of ordered pairs are

A=\{(1,-5), (8,-5), (8,7), (2,9)\}

B=\{(7,-4), (7,-2), (6,-3), (-9,5)\}

A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.

In set A the value of y-coordinates are -5 and 7 at x=8.

At x=8, there exist more than one value of y, so the set A is not a function.

In set B the value of y-coordinates are -4 and -2 at x=7.

At x=7, there exist more than one value of y, so the set B is not a function.

Therefore neither A nor B represents a function and option 4 is correct.



3 0
3 years ago
Read 2 more answers
3x+4y-3z=4;5x-y+2z=3;x+2y-z=-2 Solving Systems in three variables​
Harlamova29_29 [7]

Answer:  x = 3, y = 1, z = 2

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

EQ 1:   x  -   y  - z = 0

EQ 3:<u> -x + 2y + z =  1 </u>

                  y       = 1

EQ 2: 2x - 3y + 2z = 7  →  1(2x - 3y + 2z = 7)  →  2x - 3y + 2z = 7

EQ 3:  -x + 2y +  z = 1   → -2( -x + 2y +  z = 1)  → <u>-2x + 4y + 2z = 2</u>

                                                                                      y + 4z = 9

                                                                    y = 1  ⇒     1  + 4z = 9

                                                                                            4z = 8

                                                                                              z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

        x - (1) - (2) = 0

        x - 3 = 0

        x = 3

Check:

EQ 2: 2x - 3y + 2z = 7

         2(3) - 3(1) + 2(2) = 7

          6    -  3    +  4    = 7

                3        +  4    = 7

                               7   =  7   \checkmark

6 0
3 years ago
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