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3 years ago

How do you simpifly algebraic expressions

1 answer:

7 0

Remove parentheses by multiplying factors.
Use exponent rules to remove parentheses in terms with exponents.
Combine like terms by adding coefficients.
Combine the constants.

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A(-2,3)

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-2,3),B(3,0)$

substitute in the formula

$d=\sqrt{(0-3)^{2}+(3+2)^{2}}$

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}$

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

4 0

2 years ago

What is 10/3 divided by 2/3

Amiraneli [1.4K]

Answer:5

Step-by-step explanation:

3 0

2 years ago

Find the coordinates of the point 13 of the way from A to B.

Travka [436]

Answer:

The answer is 0, 1/3.

Step-by-step explanation:

This is because only at 0 does the line intersect through 1/3.

4 0

2 years ago

La empresa los manzanas exporta manzanas o varios paises del mundo, el lunes tiene que trasladar 300 cajones. Puede contratar ca

Mariulka [41]

Answer:

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

Step-by-step explanation:

Dada la siguiente información:

Cantidad de cajones= 300

Opción A:

Camiones con capacidad para 50 cajones que cobran 150 por viaje.

Cantidad de camiones= 300/50= 6

Opción B:

Camiones con capacidad de 60 cajones por 180 por viaje.

Cantidad de camiones= 300/60= 5

Debemos calcular el costo total de cada opción y elegir la de menor costo.

Costo total A= 150*6= $900

Costo total B=180*5= $900

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

5 0

2 years ago

What is the surface area of the figure?

Oliga [24]

Answer:

The total surface area = 582 ft²

Step-by-step explanation:

To find the surface area of it count the number of faces at first

The figure has 8 faces each 2 are equal

1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)

2- Two faces with dimensions 9 ft and 4 ft

3- Two faces with dimensions 4 ft and 6 ft

4- Two faces with dimensions 15 ft , 9 ft and 6 ft

Area of (1-) = 2(4 × 15) = 120 ft²

Area of (2-) = 2(4 × 9) = 72 ft²

Area of (3-) = 2(4 × 6) = 48 ft²

Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²

∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²

5 0

3 years ago