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White raven [17]
3 years ago
5

What is the slope of the line that passes through (3,-4) and (-2,6)

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

Answer:

slope = -2

Step-by-step explanation:

Slope formula: \frac{y2-y1}{x2-x1}

Given points:

(3 -4) = (x1, y1)

(-2, 6) = (x2, y2)

To find the slope, input the given points into the slope formula:

\frac{6-(-4)}{-2-3}

Solve:

6 - (-4) = 6 + 4 = 10

-2 -3 = -5

Simplify:

\frac{10}{-5}=\frac{2}{-1}=-2

The slope is -2.

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This figure is made up of two rectangular prisms.<br><br> What is the volume of the figure?
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Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu
Lera25 [3.4K]

Answer:

A = 68.8 inches^{2}

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }

 Where, s is the semi-meter of the triangle:

s =\frac{ (a + b + c) }{ 2}

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                            A = 68.8 inches^{2}

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^{2}

6 0
2 years ago
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