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3 years ago

Given A(-3,6) and B(5,-6) find the distance and midpoint between each

2 answers:

8 0

AB= $\sqrt{(x _{b}- x_{a})^2+(y _{b}-y _{a})^2 }= \sqrt{(5-(-3))^2+(-6-6)^2}\\
 \sqrt{8^2+(-12)^2}= \sqrt{64+144} = \sqrt{208}=4 \sqrt{13}$

xenn [34]3 years ago

7 0

14.42 is your distance formula
(1,0) is the midpoint
if you need the forma for distance it is x2-x1 squared + y2-y1 squared then square root it

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a norma

skad [1K]

Answer:

(a) Minimum red blood cells 5.744 million cells per micro liter

(b) Maximum red blood cells 5.068 million cells per micro liter.

Step-by-step explanation:

Z-score formula is = $\frac{x-u}{Standard deviation}$

Z-score = $\frac{x-5.5}{0.4}$

The value of z-score is 0.61 so then x will be;

x = 5.744

The minimum red blood cells count that can in top is 27% of count which is 5.744 million cells per micro liter.

Z-score = $\frac{x-5.5}{0.4}$

The value of z-score is 0.14 so then x will be;

x = 5.068

The maximum red blood cells count that can be in top is 14% of count which is 5.068 million cells per micro liter.

6 0

3 years ago

Taylor wants to paint his rectangular deck that is 44 feet long and 32 feet wide. A gallon of paint

Sladkaya [172]

Answer:

4.02 gallons of paint

Step-by-step explanation:

44 * 32 = 1408 square feet

1408 / 350 = 4.02

6 0

3 years ago

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When did the United States first establish its measuring system, and who was responsible for

Dimas [21]

Answer:

1975 Thomas Jefferson

Step-by-step explanation:

8 0

3 years ago

3X + 2 = 17 how do I show my work for this?

SCORPION-xisa [38]

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

3x + 2 = 17

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2 on both sides: 3x = 15
[Division Property of Equality] Divide 3 on both sides: x = 5

8 0

2 years ago

Read 2 more answers