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2 years ago

If a = 4, b = 6 and C = -3, Find the values of 3ac ____ B²-C²

Mathematics

1 answer:

madreJ [45]2 years ago

7 0

The value of the expression 3ac - b² - c² is -61.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

3ac - b² - c² = ( 3 x 4 x -3 ) - ( 4 )² - ( -3 )²

= ( -36 - 16 - 9 )

= ( -61 )

Therefore, the value of the expression 3ac - b² - c² is -61.

To know more about an expression follow

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3 years ago

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3 years ago

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.

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3 years ago

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3 years ago

What is the surface area of a cylinder with a radius of 3 and a height of 7

Yakvenalex [24]

The surface area of a cylinder includes the area of two circle bases as well as the tube connecting the bases.

Let's start with the circles. The area is pi*r^2.
pi*3^2 = 9pi

If we were to flatten a cylinder, this tube would actually be a rectangle with a length equal to the circumference of the circle. The circumference of a circle is 2pi*r.

So the rectangle has an area of 7*(2pi*3) = 42pi

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