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Rom4ik [11]
3 years ago
9

Have a free brainliesttttttttttttttttttt

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
Ok me pls thank you so much you are a heavenly angel
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Help with this please
Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

\frac{2}{3}\times \frac{-3}{2}=-1

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0
4 years ago
Use the distribution property to rewrite -3(x-2)​
Helga [31]

Answer:

-3x+6

Step-by-step explanation:

When you distribute you multiply -3 by both x and -2

3 0
3 years ago
Read 2 more answers
Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad
bezimeni [28]

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si x es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

\frac{(x+13)-10}{23} +20 = 21

Ahora, se desarrolla y se simplifica la ecuación:

\frac{x+3}{23}+20 = 21

\frac{x+3}{23} = 1

Se despeja x:

x +3 = 23

x = 20

Mauricio tiene 20 años.

Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:

y = 2020-20

y = 2000

Mauricio nació en el año 2000.

3 0
3 years ago
Graph y=5/3x-9 in slope intercept
prisoha [69]

Answer:

Step-by-step explanation:

3 0
2 years ago
Identify an equation in point - slope form for the line parllel to y = 1/2 x - 7 that passes through (-3,-2)
vichka [17]

Answer:

B. y + 2 = ½(x + 3)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are.

5 0
3 years ago
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