Simplify the algebraic expression (4b5 - 7) + (12b5 - 1)

[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]

[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]

You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).

An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram

Side note: The other diagonal is either u-v or v-u depending on your reference point.

Answer:

The bisector is line l

mq = 7

Step-by-step explanation:

To find x:

[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]

To find the value of mq

plug in the value of x into the equation.

[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]

MQ = 7

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b. B

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

Answer:

2w>-29

Step-by-step explanation:

Simplified it's w> -14.5

Answer:

[tex]\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.[/tex]

Step-by-step explanation:

tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\

where~x~is~an~integer.

Answer:

-35x8y13z11

Step-by-step explanation

Answer:

6-2×n=22

2×n=22

Since it is multiplication we have to take opposite side which is Division

So We divide both sides with 2

2÷2×n=22÷2

n=11

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 00

y-intercept: (0,−1)(0,-1)

xy0−11−1

Answer:-5,5,5

Step-by-step explanation:

Answer: The length of LK is 40.

Step-by-step explanation:

LK = 6x+10

KM = 2x+8

LM = 58

so

LM = LK + KM

or, 58 = 6x+10+2x+8

or, 58 = 8x + 18

or, 58-18 = 8x

or, 8x = 40

so, x = 5

now

LK = 6x + 10

     = 6*5+10

     = 30 +10

     = 40

-7/10 + (-5/6) = -(7/10 + 5/6) =

= -(21/30 + 25/30) = -46/30 =

= -1 16/30 = -1 8/15 ← the end

Answer:

3^2 + 21 /3

9 + 7

16✓

Answer

Answer:

1

Step-by-step explanation:

x+y = 5

Put this equation in slope intercept form y = mx+b where m is the slope

y = -x +5

The slope of the line is -1

Perpendicular lines have slopes that multiply to -1

-1 * m = -1

m = 1

The slope of the perpendicular line is 1

Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

Answer:

[tex] \frac{3}{4} n = 12[/tex]

Step-by-step explanation:

let the number be n :

[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]

further more:

[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]

Answer:

3x4=12

Step-by-step explanation:

Answer:

F = ma

Step-by-step explanation:

Given

[tex]\frac{m}{F}[/tex] = [tex]\frac{1}{a}[/tex] ( cross- multiply )

F = ma

Answer:

/10/=/-10/=10 ; /3/=/-3/=3

=> /3/+/10/=/3/+/10/=3+10=13

Step-by-step explanation:

Answer:

30 lbs

Step-by-step explanation:

-4+7+25=

-4+34=

30

Answer:

Step-by-step explanation:

Given:

Since the sum of three interior angles is 180°, solve for A:

Find B and C:

Answer:

36

Step-by-step explanation:

When negative gets squared, it becomes positive

Answer:

36

Step-by-step explanation:

36 is the square of -6

have a nice day

Answer:

My answer is: x square + 5x +6

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(x + 3)(x + 2)}}\\\huge\boxed{\mathsf{\rightarrow x(x) + 2(x) + 3(x) + 3(2)}}}\\\huge\boxed{\rightarrow{\mathsf{x^2 + 2x + 3x +6}}}\\\huge\boxed{\boxed{\text{COMBINE the LIKE TERMS}}}\\\huge\boxed{\mathsf{\rightarrow x^2 + \bold{2x + 3x} + 6}}\\\huge\boxed{\mathsf{\rightarrow{x^2 + \bold{5x} + 6}}}\\\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: x^2 + 5x + 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

9514 1404 393

Answer:

  $63.75

Step-by-step explanation:

Mike's final price will be 1-25% = 75% of the marked price.

  ($80 +5)(0.75) = $63.75

The final price for Mike's purchase is $63.75.

Answer:

the answer is = 0.08666666666

The decimal value of 8 2/3% is 866.677.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

8 2/3% into decimal.

So, 8 2/3%

= 26/3 %

= 26 /3 x 100

= 8.6666667 x 100

=866.6777

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

Answer:

109.25 US dollars

Step-by-step explanation:

115 * 0950

Answer:

1

[tex]g(n) = 2 + {(n + 2)}^{3} [/tex]

let the inverse be m :

[tex]m = 2 + {(n + 2)}^{3} \\ {(n + 2)}^{3} = m - 2 \\ n + 2 = \sqrt[3]{(m - 2)} \\ n = \{ \sqrt[ 3]{(m - 2)} - 2 \}[/tex]

therefore:

[tex]{ \boxed{ \boxed{g {}^{ - 1}(n) = \{ \sqrt[3]{(n - 2)} - 2 \}}}}[/tex]

2.

[tex]f(n) = \frac{1}{2} n + \frac{3}{2} [/tex]

let inverse be x :

[tex]x = \frac{1}{2} n + \frac{3}{2} \\ \\ 2x = n + 3 \\ n = 2x - 3[/tex]

therefore:

[tex]{ \boxed{ \boxed{f {}^{ - 1}(n) = 2n - 3 }}}[/tex]

Answer: 80 degrees

Step-by-step explanation: 2 times 40 equals 80

Not that hard

Answer:

$3.378 or $3.38 rounded