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3 years ago

What is the product?

Mathematics

1 answer:

balu736 [363]3 years ago

8 0

-42 7/8 is the answer

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Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)

OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of sides are

$AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}$

$BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}$

$CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}$

$AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}$

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

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

Slope of AB is

$m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}$

Slope of BC is

$m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}$

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

8 0

3 years ago

Solve and graph -12 <= x - 6 <= -2

Levart [38]

Answer:

4780373 ykitttuyyu

Step-by-step explanation:

brugegentug yktgdcm vylkg

6 0

3 years ago

Suppose the scientist performs an experiment in which she cools the three gases. Will the changes in temperature be positive or

Annette [7]

In this experiment, the scientist cools the gases. This means that she decreases the temperature of the gases.
Based on this, the changes in the temperature will be negative for this experiment to indicate that the gases are losing energy (heat energy).

8 0

4 years ago

The maximum point on the graph of the equation

joja [24]

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

6 0

3 years ago

Use a bar model to find the unknown value: 3/6 = ?/7

Grace [21]

3/6 = x/7
Multiply x and 6, 3 and 7:
6x = 7*3
x = 21/6
x = 7/2

7 0

4 years ago