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2 years ago

Please answer answer question

Mathematics

1 answer:

Alex787 [66]2 years ago

6 0

Answer:

c=13.42

Step-by-step explanation:

$A^2+B^2=C^2\\6^2+14^2=C^2\\C^2=144+36\\C^2=180\\\sqrt{c^2}=\sqrt{180} \\c=13.42$

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Find the equation of the line in slope-intercept form (-1,-1) and (1,0)

ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

(-1, -1)

(1, 0)

Finding the slope between (-1,-1) and (1,0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-1\right)}{1-\left(-1\right)}$

$m=\frac{1}{2}$

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

$y = mx+b$

$-1=\frac{1}{2}\left(-1\right)+b$

$-\frac{1}{2}+b=-1$

Add 1/2 to both sides

$-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}$

$b=-\frac{1}{2}$

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)$

$y\:=\frac{1}{2}x-\frac{1}{2}$

Therefore, an equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

3 0

2 years ago

PLEASE HELP SUPER EASY!!!

Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

-8 = a₁ + (2-1) × 5

-13 = a₁

a₆ = -13 + (6-1) × 5

a₆ = 12

For the second part, we have :

aₙ = -4 + (n-1)×3

aₙ = -4 + 3n -3

aₙ = 3n-7

For the third part, we have :

a₁=14 ; d=-6

aₙ = 14 + (n-1)×(-6)

aₙ = -6n + 20

For the fourth part, we have :

aₙ = 14 + (15-1)×(-6)

aₙ = -70

7 0

3 years ago

A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the t

fredd [130]

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

6 0

2 years ago

Read 2 more answers

All of the following are equivalent except...

Pie

Answer:

d) $11x^2$ because that would be the same as $11x * 11x$

6 0

2 years ago

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost

vova2212 [387]

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

3 0

2 years ago