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3 years ago

I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?

Mathematics

1 answer:

kodGreya [7K]3 years ago

4 0

Answer:

8 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, -3.75)

Point (-1, 4.5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(0)^2+(8.25)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{0+68.0625}$
[√Radical] Add: $\displaystyle d = \sqrt{68.0625}$
[√Radical] Evaluate: $\displaystyle d = 8.25$

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Step-by-step explanation:

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3 years ago

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vovangra [49]

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3 years ago

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do

Liula [17]

Answer:

The population of bacteria can be expressed as a function of number of days.

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Step-by-step explanation:

Number of bacteria on the first day= $5 * 2^{0} = 5$

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3 years ago

The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.

scoundrel [369]

Using the formulas here: http://www.1728.org/diamform.htm

A) Volume = π • r² • height
radius^2 = Volume / (PI*height)
radius^2 = 12,566.4 / (PI * 8)
radius^2 = 500.0011692175 
radius = 22.3607059195 
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
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C) lateral area = 2 • π • r • height 
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lateral area = 1,125.9 square cm

D) Total Surface Area = (2 • π • r²) + (2 • π • r • height)
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Total Surface Area = ( 2 * 1,570.8 ) + (1,125.9)
Total Surface Area = 3,141.6 + 1,125.9
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3 years ago

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AfilCa [17]

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3 years ago