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3 years ago

What is the value of y if f||n ?????

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

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3 years ago

Simplify. <br><br> 4 + 3(10 - 23)

aliina [53]

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2 years ago

Read 2 more answers

How many solutions does this system of equations have?

guajiro [1.7K]

Answer:

1 solution

Step-by-step explanation:

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2 years ago

Question<br> Find the distance between the points (-5, 8) and (-3,0).

Temka [501]

To calculate the distance between two points we use this formula:

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

<h3>We organize the values:</h3>

x₁ = -5
x₂ = -3
y₁ = 8
y₂ = 0

______________________

We apply the values already obtained to the formula to get the distance:

$d \: = \: \sqrt{( - 3 \: - \:( - 5))^{2} \: + \: (0 \: - \: 8)^{2} }$

$d \: = \: \sqrt{( - 3 \: - \: ( - 5))^{2} \: + \: ( - 8)^{2} }$

$d \: = \: \sqrt{( - 3 \: + \: 5) ^{2} \: + \: 64 }$

$d \: = \: \sqrt{ {2}^{2} \: + \: 64 }$

$d \: = \: \sqrt{4 \: + \: 64}$

$d \: = \: \sqrt{68}$

$d \: = \boxed{ \bold{ \: 2 \sqrt{17} \: units}}$

<h2>Answer: </h2>

$\huge{\boxed{ \bold{2 \sqrt{17} \: units }}}$

<h3><em><u>MissSpanish</u></em></h3>

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2 years ago

give a recursive algorithm for finding the maximum of a finite set of integers, making use of the fact that the maximum of n int

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Answer:

Recursive algorithms call itself with simpler or smaller input values. They can be used to solve large problems by using the solutions to minor parts of the problem, these minor problems are then further broken down to solvable cases.

Given the input as a sequence;

max( $z_{1}, z_{2}, ... z_{k}: integers)$

if $k=1$ return $z_{1}$

else

$c=max(z_{1}, z_{2},...z_{k-1})$

if $c$ > $z_{1}$ return $c$

else return $z_{1}$

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3 years ago