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Anni [7]
2 years ago
12

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

brainly.com/question/723406

#SPJ1

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Answer:

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3 years ago
Naoya read a book cover to cover in a single session, at a rate of 55pages per hour. After reading for 4 hours, he had 330 pages
tankabanditka [31]

If you are answering a question or about how many pages he has in his book, it is 550 pages in his book total. If it's how much longer Naoya will have to read to finish their book it is 10 hours.

3 0
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.

8 0
3 years ago
A square metal sheet (6 feet x 6 feet) is to be made into an
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7 0
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

There are two circular bases, so the surface area is:

2(9pi) + 42pi = 60pi
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7 0
3 years ago
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