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3 years ago

The sum of three consecutive integers is −387. Find the three integers.

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Answer: -130, - 129, - 128

Step-by-step explanation:

x + x+1 + x+2 = - 387

3x + 3 = - 387

3x = - 387 - 3

x = - 390/3

x = - 130

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How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:

borishaifa [10]

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

$V_{s}=\frac{4}{3} \pi r^{3}$

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

$V_{c}=\pi r^{2}h$

but h = 2r

Hence we have

$V_{c}= 2\pi r^{3}h$

We can divide the two volumes to get a constant that links them together

$\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}$

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

3 0

4 years ago

Evaluate |bc|, given a = 5, b = -3, and c = -2.

Anni [7]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|bc|

a = 5

b = -3

c = -2

Step 2: Evaluate

Substitute: |-3 · -2|
Multiply: |6|
Evaluate: 6

7 0

3 years ago

Someone please help me with number ten!!

ivann1987 [24]

Answer:

Step-by-step explanation:

starts with 4 and is multiplied by 3 every term

5 0

3 years ago

Help

solmaris [256]

Can you post this and provide a picture please so I can help you ?

Explanation:

8 0

3 years ago

Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?

lilavasa [31]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 2 &,& 3~) 
% (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}$

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}$

7 0

3 years ago