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3 years ago

Felicia walked from her home due north 10 miles, then due east 3 miles. How far was she from home?

Mathematics

1 answer:

storchak [24]3 years ago

5 0

Answer:

13 miles

Step-by-step explanation:

10 miles + 3 miles = 13 miles roughly 8.2 minutes

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Solve the equation, if possible. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)

Masteriza [31]

Answer:

The equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

Step-by-step explanation:

Given the equation

$x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$

$\mathrm{Expand\:}x\left(x+6\right):\quad x^2+6x$

$\mathrm{Expand\:}\left(x+3\right)^2:\quad x^2+6x+9$

$x^2+6x=x^2+6x+9$

$\mathrm{Subtract\:}x^2+6x\mathrm{\:from\:both\:sides}$

$x^2+6x-\left(x^2+6x\right)=x^2+6x+9-\left(x^2+6x\right)$

$\mathrm{Simplify}$

$0=9$

$\mathrm{The\:sides\:are\:not\:equal}$

Thus, there is NO SOLUTION.

We know that an equation that has no solution, such as $x = x + 2$ , is called a contradiction.

Therefore, the equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

6 0

3 years ago

Insert two rational number between 1.3 bar and 1.4 bar

jok3333 [9.3K]

General method:

Given numbers are 1.3 bar and 1.4 bar

1.3 bar = 1.333...
1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

brainly.com/question/85169?referrer

8 0

3 years ago

Complete the following statements.

SashulF [63]

The 99.87th percentile, or the area to the left of the 3 standard deviation mark it 99.87% better than everyone/everything else.

6 0

3 years ago

32-15x<2 can you help me please

Ahat [919]

32-15x<2

Subtract 32

-15x<-30

Divide by -15 and flip the sign (always flip sign when dividing/multiplying negative numbers)

x>2

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=Write%5C%3B%20an%5C%3B%20equation%5C%3B%20for%20%5C%3Bthe%20%5C%3Bfollowing...%5C%5C1...%5C%3B

Arada [10]

Answer: 1) y = 4x + 5

2) y = 3x + 2

3) y = (-5/6)x + 1/3

Step-by-step explanation:

Use the Point-Slope equation: y - y₁ = m(x - x₁) where

(x₁, y₁) is a point on the line
m is the slope

(x₁, y₁) = (-1, 1) m = 4

y - 1 = 4(x + 1)

y - 1 = 4x + 4

y = 4x + 5

(x₁, y₁) = (1, 5) m = 3

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

(x₁, y₁) = (-2, 2) m = -5/6

y - 2 = -5/6(x + 2)

y - 2 = (-5/6)x - 5/3

y = (-5/6)x + 1/3

4 0

3 years ago